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Data Visualisation

Harvinder Atwal
Agenda

                    Warm-Up                            5 mins

        Data Visualisation: Why it matters             5 mins

                    The Rules                          10 mins

    Seven Common Quantitative Relationships            5 mins

The best means to encode quantitative data in charts   5 mins

                Step by Step Guide                     10 mins

                       Test                            5 mins




                                                                2
Agenda

                    Warm-Up                            5 mins

        Data Visualisation: Why it matters             5 mins

                    The Rules                          10 mins

    Seven Common Quantitative Relationships            5 mins

The best means to encode quantitative data in charts   5 mins

                Step by Step Guide                     10 mins

                       Test                            5 mins




                                                                3
Even the best information is useless, if its story is
                    poorly told

Most presentations of quantitative business data are poorly designed –
painfully so, often to the point of misinformation.
Anyone can start drawing charts in Excel and use PowerPoint but
hardly anyone is trained to do so effectively.

                          The effective display of
                          quantitative information
                          involves two fundamental
                          challenges




 Selecting the right medium                          Designing the individual visual
 of display (for example, a                          components of the selected
 table or a graph, and the         and               medium to display the
 appropriate kind of either)                         information and its message as
                                                     clearly as possible




                                                                                       4
Bad Data Visualisation can have tragic consequences

In Jan 1986 NASA had to       Morton Thiokol engineers
decide whether to launch       produced a chart and
 the Challenger shuttle in       recommended that
     a ―100-year cold‖          shuttles not be flown
                               below 53F because of
                              potential damage to the
                               O-Rings in the booster
                                       rockets


                                                    Morton Thiokol managers
   Morton Thiokol managers                               accepted the
      agree to the flight                            recommendation and
                                                     passed it on to NASA



                               NASA asks for the
                             recommendation to be
                                 reconsidered


                                                                              5
The engineers are Morton Thiokol came up with this chart

Looking at the O-Ring damage over the previous 24 shuttle missions, the data was
presented in chronological order showing the location and extent of the damage
sustained to the left and right boosters and the temperature at launch time.




                                                                                   6
The Morton Thiokol engineers failed to convince their
  management and NASA with fatal consequences




                                                        7
Would this chart have been more convincing?

If instead we remove all the extraneous data and do a simple plot of
temperature vs damage then the pattern becomes much clearer.



                             ALWAYS
                             damage below
                             66F

                                                  Never damage
                                                  above 76F




                                                                       8
WTF!? How many hours of valuable management time have been
      wasted trying to understand a badly drawn chart?




                          How many £billions have been wasted on
                          incorrect decisions because someone
                          has misinterpreted a chart message?



                                                                   9
To communicate effectively visually you need to understand
           visual perception and cognition.

    Present your message in a way that takes advantage of the
    strengths of visual perception while avoiding its
    weaknesses - matching the human thought process.


    You can develop a simple set of skills (graphicacy) based on
    this knowledge.


                                                    , based on clear-cut
 This is                                            principles about what
 mostly                       Not
                                                    works and what
                                                    doesn’t




                                                                        10
Agenda

                    Warm-Up                            5 mins

        Data Visualisation: Why it matters             5 mins

                    The Rules                          10 mins

    Seven Common Quantitative Relationships            5 mins

The best means to encode quantitative data in charts   3 mins

                Step by Step Guide                     10 mins

                       Test                            5 mins




                                                            11
12




Research Finding: Communication is most
 effective when you say neither more nor
 less than what is relevant to your message.

Principle #1: Display neither more nor less
 than what is relevant to your message.
Tufte’s data-ink ratio is the single most important
           concept in data visualisation


 Data-ink ratio =
 data-ink / total ink used to print the graphic

 = proportion of a graphic’s ink devoted to the
 non-redundant display of data-information

 = 1.0 − proportion of a graphic that can be erased
 without loss of data-information.

 (The Visual Display of Quantitative Information, Edward R.
   Tufte, Graphics Press, Cheshire CT, 1983, p.93)



                                                              13
Eliminate all redundant visual information!


 You wouldn’t write a document like this using multiple
  fonts, gratuitous formatting, redundant


 excessive highlighting, variable colours, difficult to
  read italics, pointless underlining, desperate shadows in
  multiple sizes.
● Yet everyday you see the graphical equivalent as people
  try to make their charts “interesting” instead of useful!.




                                                               14
How many items of redundant visual information can you
                    see in this chart?
   Grey                                                                                 Underlining
                                            Sales and Appointments by Region
   Background
                                                                                                      Border
             200
                                              183

             180
                                                                     Legend Key
                                                                                      Vertical
Excessive    160                                     150                              Lines
tick marks                                                                                            3-D Effect
             140                                                      Data Labels

             120        112
                               100                                      97
     Volume 100                                                                         91            Appointments
                                                                                                85
                                                                                                      Sales
                                                                                75
             80


             60
                                                                                                        Border on
             40                                                                                         Legend
Border on
             20
Bars
              0
                   Wales and West    London And South East      Scotland and North   Midlands
                                                                                                       Floor
                                                         Region



                         Highlighting for
                            no reason
                                                                                                                     15
Less is more; the same chart de-junked…
Volumes                    Sales and Appointments by Region
 200
                                           Appointments          Sales
 180

 160

 140

 120

 100

  80

  60

  40

  20

   0
          Wales and West   London And South East Scotland and North      Midlands

                                      Region
Research Finding: People perceive visual
differences in an information display as
differences in meaning.
Principle #2: Do not include visual
differences in a graph that do not correspond
to actual differences in the data.




                                                17
What is the meaning of the different colours that appear on the
               bars? The answer is “nothing.”




                                       Don’t confuse
                                       people and waste
                                       their time by
                                       including visual
                                       differences that are
                                       meaningless.




                                                              18
Research Finding: The visual properties that work
best for representing quantitative values are the
length or 2-D location of objects.

Principle #3: Use the lengths or 2-D locations of
objects to encode quantitative values in graphs
unless they have already been used for other
variables.




                                                    19
#1 How much taller is bar B than A?




     A                    B



                                      20
#2 How much higher is point A than B?




        A                    B


                                        21
#3 How much bigger is the area of B than A?


                   A
                   B




                                              22
#4 How much darker is circle B than A?


                A
                B




                                         23
Answers
#1           5x              #2


                                      4x

     A         B             A             B




#3       A
             10x       #4         A
                                  B
                                      5x
         B
How much taller is bar B than A?




     A                   B



                                   25
Bar B is actually only 10% bigger than A, not 100%

    560

    550

    540

    530

    520

    510

    500

    490

    480

    470
               A                 B




                                                26
Research Finding: People perceive differences in the
lengths or 2-D locations of objects fairly accurately
and interpret them as differences in the actual values
that they represent.

Principle #4: Differences in the visual properties that
represent values (that is, differences in their lengths
or 2-D locations) should accurately correspond to
the actual differences in the values they represent.




                                                          27
Research Finding: People perceive things that
appear connected as wholes and things that appear
disconnected as discrete.

Principle #5: Do not visually connect values that are
discrete, thereby suggesting a relationship that does
not exist in the data.




                                                        28
The regions are discrete, so values that measure something going on in
            these regions should be displayed as discrete.




                                                Connecting discrete
                                                items with a line is
                                                misleading. Doing so
                                                forms a pattern of
                                                upwards and
                                                downwards slopes
                                                that are utterly
                                                meaningless.




                                                                     29
Research Finding: People pay most attention to and
consider most important those parts of a visual
display that are most salient.

Principle #6: Make the information that is most
important to your message more visually salient in a
graph than information that is less important.




                                                       30
Some information is more important to your
          message than others



                              You can communicate this
                              fact in a graph by making
                              those items that are most
                              important more visually
                              dominant (salient).
                              It is your job to direct
                              people’s eyes to the most
                              important parts of the
                              display, so they
                              adequately focus on them.




                                                      31
Research Finding: Short-term memory is limited to
about four chunks of information at a time.

Principle #7: Augment people’s short-term memory
by combining multiple facts into a single visual
pattern that can be stored as a chunk of memory and
by presenting all the information they need to
compare within eye span.




                                                      32
By presenting quantitative information visually as
patterns, more information can be simultaneously stored in
                    short-term memory,


                                       Each of the two lines in
                                       this line graph combines
                                       12 different sales
                                       figures, one per
                                       month, into a single
                                       pattern of upward and
                                       downward sloping line
                                       segments.
                                       When encoded in a visual
                                       pattern such as this, these
                                       12 numbers can be stored
                                       together as a single chunk
                                       of information in short-
                                       term memory




                                                                  33
Agenda

                    Warm-Up                            5 mins

        Data Visualisation: Why it matters             5 mins

                    The Rules                          10 mins

    Seven Common Quantitative Relationships            5 mins

The best means to encode quantitative data in charts   5 mins

                Step by Step Guide                     10 mins

                       Test                            5 mins




                                                            34
Seven common quantitative relationships in graphs and
              how to display them




 Meaningful quantitative information always
 involves relationships. With rare exceptions in
 business graphs, these relationships always boil
 down to one or more of the seven relationships
 described on the following slides.




                                                    35
Time Series


Expresses the rise and fall of
values through time.
    – Use lines to emphasize
      overall pattern.
    – Use bars to emphasize
      individual values.
    – Use points connected by
      lines to slightly emphasize
      individual values while still
      highlighting the overall
      pattern.
    – Always place time on the
      horizontal axis.




                                                    36
Ranking


Expresses values in order by
size.
Use bars only (horizontal or
vertical).
   – To highlight high
     values, sort in descending
     order.
   – To highlight low values, sort
     in ascending order.




                                               37
Part-to-Whole


Expresses the portion of each
part relative to the whole.
   – Use bars only (horizontal
     or vertical).
   – Use stacked bars only
     when you must display
     measures of the whole




                                          38
Deviation

Expresses how and the degree to
which one or more things differ from
another.
    – Use lines to emphasize the overall
      pattern only when displaying
      deviation and timeseries
      relationships together.
    – Use points connected by lines to
      slightly emphasize individual data
      points while also highlighting the
      overall pattern when displaying
      deviation and time-series
      relationships together.
    – Use bars to emphasize individual
      values, but limit to vertical bars
      when a time series relationship is
      included.
    – Always include a reference line to
      compare the measures of deviation
      against.




                                                   39
Distribution

Expresses a range of values as well as the
shape of the distribution across that range.
Single distribution:
    – Use vertical bars to emphasize individual
      values
    – Use lines to emphasize the overall shape.
Multiples distributions:
    – Use vertical or horizontal bars (a.k.a.
      range bars or boxes) to encode the full
      range from the low value to the high
      value, or some meaningful portion of the
      range (for example, 90% of the values).
    – Use points or lines together to encode
      measures of centre (for example, the
      median).




                                                  40
Correlation


Expresses how two paired
sets of values vary in relation
to one another.
    – Use points and a trend
      line in the form of a
      scatter plot.




                                                41
Nominal Comparison


Simply expresses the
comparative sizes of multiple
related but discrete values in no
particular order.
    – Use bars only (horizontal or
      vertical).




                                        42
Agenda

                    Warm-Up                            5 mins

        Data Visualisation: Why it matters             5 mins

                    The Rules                          10 mins

    Seven Common Quantitative Relationships            5 mins

The best means to encode quantitative data in charts   5 mins

                Step by Step Guide                     10 mins

                       Test                            5 mins




                                                            43
Four types of objects work best for encoding quantitative
values in graphs: points, lines, bars, and boxes.


                                                 Bars




        Points

                                                Boxes



         Lines


                                                            44
Points and Lines

   Points are the smallest of the objects that are used to encode values in graphs. They can take
   the shape of dots, squares, triangles, Xs, dashes, and other simple objects. They have two
   primary strengths:
         (1) they can be used to encode quantitative values along two quantitative
             scales simultaneously, as in a scatter plot, and
         (2) they can be used to in place of bars when the quantitative scale does not
             begin at zero. Unlike lines, points emphasize individual values, rather
             than the shape of those values as they move up and down.




   Lines connect the individual values in a series, emphasizing the shape of the data
   as it moves from value to value. As such, they are superb for showing the shape
   of data as it moves and changes through time. Trends, patterns, and exceptions
   stand out clearly.
   You should only use lines to encode data along an interval scale.




                                                                                                    45
Do not use lines for Nominal or Ordinal scales!

Sales
160                          Wrong                                                                Wrong
                                                                         Sales
140                                                                      120


120                                                                      100

100
                                                                         80

80
                                                                         60
60
                                                                         40
40

20                       Nominal Scale                                   20


 0                                                                        0
                                                                                 Extra-Value   Standard   Branded   Finest
        Wales and West      London And South East   Scotland and North


  In nominal and ordinal scales, the individual items are not related closely enough to be linked with lines, so
  you should use bars or points instead. Lines suggest change from one item to the next, but change isn’t
  happening if the items aren’t closely related as sequential subdivisions of a continuous range of values. For
  instance, it is appropriate to use lines to display change from one day to the next or from one price range to
  the next, but not from one community bank to the next.



                                                                                                                             46
Use lines only for Interval scales

Sales
120                     Right                             If, however, you want to emphasize individual
                                                          items, such as individual months, or to
100                                                       support discrete comparisons of multiple
                                                          values at the same location along the interval
80                                                        scale, such as revenues and expenses for
                                                          individual months, then bars or points work
60                                                        best.

40
                                                        Sales
20
                   Interval Scale                       120


                                                        100
 0
            Q1           Q2          Q3          Q4     80


                                                        60
      With interval scales, you are not forced in all
      cases to use lines; you can use bars and points   40
      as well. If you want to emphasize the overall
      shape of the data or changes from one item to     20

      the next, lines work best.
                                                         0
                                                                Q1         Q2         Q3          Q4




                                                                                                       47
Bars encode data in a way that emphasizes individual
                      values powerfully
This ability is due in part to the fact that bars encode quantitative values in two ways:

(1) the 2-D position of the bar’s endpoint in relation to the quantitative scale, and

(2) the length of the bar.

You probably recognize that these two characteristics correspond precisely to the two visual attributes that can be used
to encode data in graphs. When you want to draw focus to individual values or to support the comparison of individual
values to one another (see figure 19), bars are an ideal choice. They don’t, however, do as well as lines in revealing the
overall shape of the data. Bars may be oriented vertically or horizontally.

                             100                       Budget       Actual
                             90

                             80

                             70

                             60

                             50

                             40

                             30

                             20

                             10

                              0
                                          Rewards                      Exchange



                                                                                                                    48
Whenever you use bars, your quantitative scale must
                           include zero
      The lengths of the bars encode their values, but won’t      When you would normally use bars, but
      do so accurately if those values don’t begin at zero.       wish to narrow the quantitative scale to
      Notice what happens when you narrow the                     show differences between the values in
      quantitative scale and use bars below. Actual sales
      appear to be half of planned sales, but in fact they are    greater detail, you should switch from bars
      90% of the plan.                                            to points, because points encode values
                                                                  merely as 2-D location in relation to the
                                                                  quantitative scale, which eliminates the
                                                                  need to begin the scale at zero.

100                         Budget      Actual                   560

                                                                 550

                                                                 540
90                                                               530

                                                                 520

                                                                 510

80                                                               500

                                                                 490

                                                                 480

70                                                               470
                Rewards                    Exchange                            A                      B




                                                                                                            49
Boxes

Boxes are a lot like bars, except that
both ends encode quantitative values.
When bars are used in this way, they are
sometimes called range bars. They are
used to encode a range of
values, usually from the highest to the
lowest, rather than a single value.

In the 1970s John Tukey invented a
method of using rectangles (bars with or
without fill colors) in combination with
individual data points (often a short line)
and thin bars to encode several facts
about a distribution of values, including
the median (middle value), middle
50%, etc.

He called his invention a box plot (a.k.a.
box-and-whisker plot).


                                                      50
Agenda

                    Warm-Up                            5 mins

        Data Visualisation: Why it matters             5 mins

                    The Rules                          10 mins

    Seven Common Quantitative Relationships            5 mins

The best means to encode quantitative data in charts   5 mins

                Step by Step Guide                     10 mins

                       Test                            5 mins




                                                            51
Step 1: Determine your message


                            Will the data be used to look up
                            and compare individual values, or
                            will the data need to be precise?
Determine your message.     If so, you should display it in a
Don’t just turn your data   table.
  into a chart!
Think about what your            Or, do both.
   data means, what you
   want to communicate      Is the message contained in the
   and most importantly     shape of the data—in
   your audiences’          trends, patterns, exceptions, or
   needs.                   comparisons that involve more
                            than a few values? If so, you
                            should display it in a graph.




                                                                52
Step 2: Determine the best means to encode the values
                 Nominal comparison. Bars (horizontal or vertical). Points (if the quantitative scale does
                    not include zero).

                 Time Series. Lines to emphasize the overall shape of the data
                 Bars to emphasize and support comparisons between individual values
                 Points connected by lines to slightly emphasize individual values while still highlighting
                      the overall shape of the data

                 Ranking. Bars (horizontal or vertical). Points (if the quantitative scale does not include
                     zero)

What am I        Part-to-Whole. Bars (horizontal or vertical) Note: Pie charts are commonly used to
                      display part-to-whole relationships, but they don’t work nearly as well as bar
trying to             graphs because it is much harder to compare the sizes of slices than the length of
                      bars. Use stacked bars only when you must display measures of the whole as well
represent?            as the parts


                 Deviation. Lines to emphasize the overall shape of the data (only when displaying
                     deviation and time-series relationships together)
                 Points connected by lines to slightly emphasize individual data points while also
                      highlighting the overall shape (only when displaying deviation and time-series
                      relationships together)
                 Frequency Distribution. Bars (vertical only) to emphasize individual values. This kind
                     of graph is called a histogram
                 Lines to emphasize the overall shape of the data. This kind of graph is called a
                      frequency polygon.

                 Correlation. Points and a trend line in the form of a scatter plot




                                                                                                         53
Step 3: Determine where to display each variable – One
                      Variable
Place the categorical variable on the x-axis if your graph will include ONE categorical variable and any one of
    the following is true:

          •       The categorical scale is an interval scale

          •       You are using lines to encode the data

          •       You are using bars to encode the data and the labels are not long or many

If you are using bars place the categorical variable on the Y-axis when either of these two conditions exist:

          •       The text labels associated with the bars are long

          •       There are many bars.                                120
                          0   20   40   60   80   100   120
                                                                      100
                 Beef
         Fresh pork                                                   80
                Lamb
               Bacon                                                  60
              Sausage
                                                                      40
        Beef fillet jnt
    Beef sirloin joint                  Is better than                20
      Pork roulades
   Fresh pork mince                                                    0
 Fresh poultry gravy




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                                                                                                                                           54
Step 3: Determine where to display each variable – Two or
                    three variables
If the graph involves two or three variables, you must decide which to display along the
axes and which to encode using distinct versions of another visual attribute, such as
colour.


                                                200
With a line graph, place the variable that is
                                                180                                               Appointments
most important to your message along the X
                                                160                                               Sales
axis.
                                                140

With a bar graph, encode the variable whose     120
items you want to make it easiest to            100
compare using a method other than                80
association with an axis. Notice how much
                                                 60
easier it is to compare appointments and
                                                 40
sales than the regions, because they are
positioned next to one another.                  20

                                                  0
                                                      Wales and West   London And South   Scotland and North     Midlands
                                                                             East




                                                                                                                            55
Step 3: Determine where to display each variable - the
                        problem of the fourth variable

       This solution involves a series of small graphs, arranged in the same way as a graph with three
       variables, all arranged together in a way that can be seen simultaneously. Each graph is
       alike, including consistent scales, differing only in that each features a different item of a
       categorical variable. Each graph varies according to a fourth variable, which is sales channel
       (e.g. product).

       Using small multiples to support an additional variable is a powerful technique. Graphs can be
       arranged horizontally, vertically, or even in a matrix of columns and rows. If you need to display
       one more variable than you can fit into a single graph, select this approach.

                        Face-Value                   Rewards                       Big Exchange

            Midlands


                                                                                                     2010
                                                                                                   Sales
   Scotland and North
                                                                                                   Appointments
                                                                                                    2011

London And South East



      Wales and West


                        0   50   100   150   200 0       50    100   150   200 0       50    100            150   200




                                                                                                                        56
Step 4: Determine the best design for the remaining
                       objects - Scale
   It’s now time to make a series of design decisions that remain, including the scales and
   text. These decisions are concerned with the placement and visual appearance of
   items.
                                                     Sales
If the graph will be used for analysis purposes      1800

that require seeing the differences between
                                                     1600
values in as much detail as possible, narrowing
the scale can be useful. Generally, you should
                                                     1400
adjust the scale so that it extends a little below
the lowest data value and a little above the         1200
highest.
                                                     1000


                                                      800
      560
                                                                Q1         Q2        Q3         Q4
      550

      540

      530

      520
                                                             If you are using bars to encode the
      510
                                                             data, but your message could be better
                                                             communicated by narrowing the
      500
                                                             scale, Remember to switch from bars
      490
                                                             to points!
      480

      470
                   A                    B




                                                                                                      57
Step 4: Determine the best design for the remaining
                           objects - Legend
                                              Sales
                                              1800
      If a Legend Is Required, and                                                  London and South East

      you are using lines, label the          1600

      lines directly                                                                Wales and West

                                              1400


                                              1200


                                              1000

100                    Budget   Actual         800
90                                                      Q1      Q2     Q3      Q4
80

70

60                                                    If you are using bars, place the
50

40
                                                      legend above the plot area with
30
                                                      the labels arranged side-by-side
20                                                    in the same order as the bars
10

 0
             Rewards               Exchange




                                                                                                     58
Step 4: Determine the best design for the remaining
            objects – Tick Marks and Scales

Tick marks are only necessary on quantitative scales, for they serve no real purpose
on categorical scales. A number between 5 and 10 tick marks usually does the job;
too many clutters the graph and too few fail to give the level of detail needed to
interpret the values.



If the graph can be read with the scale in only one place (left, right, top
bottom) place it nearest the data you want to emphasise or make easiest to
read.
If the graph is so large it cannot be read with only one scale, place it in both
positions ( top and bottom, left and right).




                                                                                       59
Step 4: Determine the best design for the remaining
                   objects – Gridlines
Unless they are necessary to understand your message or divide a scatter plot into sections leave them
off, and when used subdue them visually. Bear in mind graphs display patterns and relationships. If
you want to communicate data with a high degree of quantitative accuracy use a table.



          Sales
          1800


          1600


          1400


          1200


          1000


           800
                      Q1              Q2              Q3              Q4




                                                                                                    60
Step 4: Determine the best design for the remaining
             objects – Descriptive Text
Although the primary message of a graph is carried in the picture it provides, text is
always required to some degree to clarify the meaning of that picture. Some text if often
needed, including:
     – A descriptive title
     – Axis titles (unless the nature of the scale and its unit of measure are already clear)



Numbers in the form of text                        Widget Sales by Region and
along quantitative scales are        Sales         Calendar Quarter (2007)
always necessary and                 1800
legends often are. It is often                                                         London and South East

useful to include one or             1600
more notes to describe what                                                            Wales and West

is going on in the                   1400
graph, what ought to be                                                                Widget sales in
examined in particular, or                                                             London and South
                                     1200
how to read the                                                                        East have been
                                                                                       ahead of Wales
graph, whenever these bits           1000                                              and West with the
of important information are                                                           exception of Q3
not otherwise obvious.
                                      800
                                              Q1          Q2          Q3          Q4




                                                                                                               61
Step 5: Determine if particular data should be featured, and
if so, how
   The final major stage in the process involves highlighting particular data if some data is more important
   than the rest.

   Whatever the reason, you have a number of possible ways to make selected data stand out.

   One of the best and simplest ways is to encode those items using bright or dark colours, which will stand
   out clearly if you’ve used soft colours for everything else. Other methods include:
         –When bars are used, place borders only around those bars that should be highlighted.
         –When lines are used, make the lines that must stand out thicker.
         –When points are used, make the featured points larger or include fill colour in them alone.




Sales                                   Sales
                                        1800
120

100                                     1600

 80
                                        1400
 60
                                        1200
 40

 20                                     1000

  0                                     800
                                                                                         A                B
        Q1      Q2       Q3       Q4            Q1      Q2       Q3       Q4




                                                                                                              62
Remember to follow this process for graph selection and design in
order to communicate your information in the most effective manner

       Determine your message and identify your data

     Determine if a table, graph, or combination of both is
            needed to communicate your message

        Determine the best means to encode the values

           Determine where to display each variable

     The best means to encode quantitative data in charts

      Determine the best design for the remaining objects

      Determine if particular data should be featured, and
                             if so, how

                                                                 63
Summary

Whenever you create a graph, you have a choice to
make — to communicate or not. That’s what it all comes
down to. If you have something important to say, then
say it clearly and accurately. These guidelines are
designed to help you do just that.
Agenda

                    Warm-Up                            5 mins

        Data Visualisation: Why it matters             5 mins

                    The Rules                          10 mins

    Seven Common Quantitative Relationships            5 mins

The best means to encode quantitative data in charts   5 mins

                Step by Step Guide                     10 mins

                       Test                            5 mins




                                                            65
Which graph makes it easier to determine whether Mid-Cap US
stocks or Small-Cap US stocks have a greater share?

        A                                 B




                                                              66
Which of these line graphs is easier to read?

       A                          B




                                                67
Which of these tables is easier to read?

              A




B




                                           68
Which graph makes it easier to focus on the pattern of change
through time, instead of the individual values?




   A




   B




                                                                69
Only one of these graphs accurately encodes the values. The other skews the
values in a misleading manner. Which graph presents the data accurately?


           A                                          B




                                                                              70
Which map makes it easier to find all of the counties with
positive growth rates?

        A                               B




                                                             71
Which graph makes it easier to determine R&D’s travel
expense?




 A




 B



                                                        72
In which graph are the labels easier to read?

       A                          B




                                                73
Which graph is easier to look at?




 A




B




                                    74
Which table allows you to see the areas of poor
performance more quickly?




  A




 B




                                                  75
What percentage of the population is colour-blind?

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Data visualisation

  • 2. Agenda Warm-Up 5 mins Data Visualisation: Why it matters 5 mins The Rules 10 mins Seven Common Quantitative Relationships 5 mins The best means to encode quantitative data in charts 5 mins Step by Step Guide 10 mins Test 5 mins 2
  • 3. Agenda Warm-Up 5 mins Data Visualisation: Why it matters 5 mins The Rules 10 mins Seven Common Quantitative Relationships 5 mins The best means to encode quantitative data in charts 5 mins Step by Step Guide 10 mins Test 5 mins 3
  • 4. Even the best information is useless, if its story is poorly told Most presentations of quantitative business data are poorly designed – painfully so, often to the point of misinformation. Anyone can start drawing charts in Excel and use PowerPoint but hardly anyone is trained to do so effectively. The effective display of quantitative information involves two fundamental challenges Selecting the right medium Designing the individual visual of display (for example, a components of the selected table or a graph, and the and medium to display the appropriate kind of either) information and its message as clearly as possible 4
  • 5. Bad Data Visualisation can have tragic consequences In Jan 1986 NASA had to Morton Thiokol engineers decide whether to launch produced a chart and the Challenger shuttle in recommended that a ―100-year cold‖ shuttles not be flown below 53F because of potential damage to the O-Rings in the booster rockets Morton Thiokol managers Morton Thiokol managers accepted the agree to the flight recommendation and passed it on to NASA NASA asks for the recommendation to be reconsidered 5
  • 6. The engineers are Morton Thiokol came up with this chart Looking at the O-Ring damage over the previous 24 shuttle missions, the data was presented in chronological order showing the location and extent of the damage sustained to the left and right boosters and the temperature at launch time. 6
  • 7. The Morton Thiokol engineers failed to convince their management and NASA with fatal consequences 7
  • 8. Would this chart have been more convincing? If instead we remove all the extraneous data and do a simple plot of temperature vs damage then the pattern becomes much clearer. ALWAYS damage below 66F Never damage above 76F 8
  • 9. WTF!? How many hours of valuable management time have been wasted trying to understand a badly drawn chart? How many £billions have been wasted on incorrect decisions because someone has misinterpreted a chart message? 9
  • 10. To communicate effectively visually you need to understand visual perception and cognition. Present your message in a way that takes advantage of the strengths of visual perception while avoiding its weaknesses - matching the human thought process. You can develop a simple set of skills (graphicacy) based on this knowledge. , based on clear-cut This is principles about what mostly Not works and what doesn’t 10
  • 11. Agenda Warm-Up 5 mins Data Visualisation: Why it matters 5 mins The Rules 10 mins Seven Common Quantitative Relationships 5 mins The best means to encode quantitative data in charts 3 mins Step by Step Guide 10 mins Test 5 mins 11
  • 12. 12 Research Finding: Communication is most effective when you say neither more nor less than what is relevant to your message. Principle #1: Display neither more nor less than what is relevant to your message.
  • 13. Tufte’s data-ink ratio is the single most important concept in data visualisation Data-ink ratio = data-ink / total ink used to print the graphic = proportion of a graphic’s ink devoted to the non-redundant display of data-information = 1.0 − proportion of a graphic that can be erased without loss of data-information. (The Visual Display of Quantitative Information, Edward R. Tufte, Graphics Press, Cheshire CT, 1983, p.93) 13
  • 14. Eliminate all redundant visual information!  You wouldn’t write a document like this using multiple fonts, gratuitous formatting, redundant  excessive highlighting, variable colours, difficult to read italics, pointless underlining, desperate shadows in multiple sizes. ● Yet everyday you see the graphical equivalent as people try to make their charts “interesting” instead of useful!. 14
  • 15. How many items of redundant visual information can you see in this chart? Grey Underlining Sales and Appointments by Region Background Border 200 183 180 Legend Key Vertical Excessive 160 150 Lines tick marks 3-D Effect 140 Data Labels 120 112 100 97 Volume 100 91 Appointments 85 Sales 75 80 60 Border on 40 Legend Border on 20 Bars 0 Wales and West London And South East Scotland and North Midlands Floor Region Highlighting for no reason 15
  • 16. Less is more; the same chart de-junked… Volumes Sales and Appointments by Region 200 Appointments Sales 180 160 140 120 100 80 60 40 20 0 Wales and West London And South East Scotland and North Midlands Region
  • 17. Research Finding: People perceive visual differences in an information display as differences in meaning. Principle #2: Do not include visual differences in a graph that do not correspond to actual differences in the data. 17
  • 18. What is the meaning of the different colours that appear on the bars? The answer is “nothing.” Don’t confuse people and waste their time by including visual differences that are meaningless. 18
  • 19. Research Finding: The visual properties that work best for representing quantitative values are the length or 2-D location of objects. Principle #3: Use the lengths or 2-D locations of objects to encode quantitative values in graphs unless they have already been used for other variables. 19
  • 20. #1 How much taller is bar B than A? A B 20
  • 21. #2 How much higher is point A than B? A B 21
  • 22. #3 How much bigger is the area of B than A? A B 22
  • 23. #4 How much darker is circle B than A? A B 23
  • 24. Answers #1 5x #2 4x A B A B #3 A 10x #4 A B 5x B
  • 25. How much taller is bar B than A? A B 25
  • 26. Bar B is actually only 10% bigger than A, not 100% 560 550 540 530 520 510 500 490 480 470 A B 26
  • 27. Research Finding: People perceive differences in the lengths or 2-D locations of objects fairly accurately and interpret them as differences in the actual values that they represent. Principle #4: Differences in the visual properties that represent values (that is, differences in their lengths or 2-D locations) should accurately correspond to the actual differences in the values they represent. 27
  • 28. Research Finding: People perceive things that appear connected as wholes and things that appear disconnected as discrete. Principle #5: Do not visually connect values that are discrete, thereby suggesting a relationship that does not exist in the data. 28
  • 29. The regions are discrete, so values that measure something going on in these regions should be displayed as discrete. Connecting discrete items with a line is misleading. Doing so forms a pattern of upwards and downwards slopes that are utterly meaningless. 29
  • 30. Research Finding: People pay most attention to and consider most important those parts of a visual display that are most salient. Principle #6: Make the information that is most important to your message more visually salient in a graph than information that is less important. 30
  • 31. Some information is more important to your message than others You can communicate this fact in a graph by making those items that are most important more visually dominant (salient). It is your job to direct people’s eyes to the most important parts of the display, so they adequately focus on them. 31
  • 32. Research Finding: Short-term memory is limited to about four chunks of information at a time. Principle #7: Augment people’s short-term memory by combining multiple facts into a single visual pattern that can be stored as a chunk of memory and by presenting all the information they need to compare within eye span. 32
  • 33. By presenting quantitative information visually as patterns, more information can be simultaneously stored in short-term memory, Each of the two lines in this line graph combines 12 different sales figures, one per month, into a single pattern of upward and downward sloping line segments. When encoded in a visual pattern such as this, these 12 numbers can be stored together as a single chunk of information in short- term memory 33
  • 34. Agenda Warm-Up 5 mins Data Visualisation: Why it matters 5 mins The Rules 10 mins Seven Common Quantitative Relationships 5 mins The best means to encode quantitative data in charts 5 mins Step by Step Guide 10 mins Test 5 mins 34
  • 35. Seven common quantitative relationships in graphs and how to display them Meaningful quantitative information always involves relationships. With rare exceptions in business graphs, these relationships always boil down to one or more of the seven relationships described on the following slides. 35
  • 36. Time Series Expresses the rise and fall of values through time. – Use lines to emphasize overall pattern. – Use bars to emphasize individual values. – Use points connected by lines to slightly emphasize individual values while still highlighting the overall pattern. – Always place time on the horizontal axis. 36
  • 37. Ranking Expresses values in order by size. Use bars only (horizontal or vertical). – To highlight high values, sort in descending order. – To highlight low values, sort in ascending order. 37
  • 38. Part-to-Whole Expresses the portion of each part relative to the whole. – Use bars only (horizontal or vertical). – Use stacked bars only when you must display measures of the whole 38
  • 39. Deviation Expresses how and the degree to which one or more things differ from another. – Use lines to emphasize the overall pattern only when displaying deviation and timeseries relationships together. – Use points connected by lines to slightly emphasize individual data points while also highlighting the overall pattern when displaying deviation and time-series relationships together. – Use bars to emphasize individual values, but limit to vertical bars when a time series relationship is included. – Always include a reference line to compare the measures of deviation against. 39
  • 40. Distribution Expresses a range of values as well as the shape of the distribution across that range. Single distribution: – Use vertical bars to emphasize individual values – Use lines to emphasize the overall shape. Multiples distributions: – Use vertical or horizontal bars (a.k.a. range bars or boxes) to encode the full range from the low value to the high value, or some meaningful portion of the range (for example, 90% of the values). – Use points or lines together to encode measures of centre (for example, the median). 40
  • 41. Correlation Expresses how two paired sets of values vary in relation to one another. – Use points and a trend line in the form of a scatter plot. 41
  • 42. Nominal Comparison Simply expresses the comparative sizes of multiple related but discrete values in no particular order. – Use bars only (horizontal or vertical). 42
  • 43. Agenda Warm-Up 5 mins Data Visualisation: Why it matters 5 mins The Rules 10 mins Seven Common Quantitative Relationships 5 mins The best means to encode quantitative data in charts 5 mins Step by Step Guide 10 mins Test 5 mins 43
  • 44. Four types of objects work best for encoding quantitative values in graphs: points, lines, bars, and boxes. Bars Points Boxes Lines 44
  • 45. Points and Lines Points are the smallest of the objects that are used to encode values in graphs. They can take the shape of dots, squares, triangles, Xs, dashes, and other simple objects. They have two primary strengths: (1) they can be used to encode quantitative values along two quantitative scales simultaneously, as in a scatter plot, and (2) they can be used to in place of bars when the quantitative scale does not begin at zero. Unlike lines, points emphasize individual values, rather than the shape of those values as they move up and down. Lines connect the individual values in a series, emphasizing the shape of the data as it moves from value to value. As such, they are superb for showing the shape of data as it moves and changes through time. Trends, patterns, and exceptions stand out clearly. You should only use lines to encode data along an interval scale. 45
  • 46. Do not use lines for Nominal or Ordinal scales! Sales 160 Wrong Wrong Sales 140 120 120 100 100 80 80 60 60 40 40 20 Nominal Scale 20 0 0 Extra-Value Standard Branded Finest Wales and West London And South East Scotland and North In nominal and ordinal scales, the individual items are not related closely enough to be linked with lines, so you should use bars or points instead. Lines suggest change from one item to the next, but change isn’t happening if the items aren’t closely related as sequential subdivisions of a continuous range of values. For instance, it is appropriate to use lines to display change from one day to the next or from one price range to the next, but not from one community bank to the next. 46
  • 47. Use lines only for Interval scales Sales 120 Right If, however, you want to emphasize individual items, such as individual months, or to 100 support discrete comparisons of multiple values at the same location along the interval 80 scale, such as revenues and expenses for individual months, then bars or points work 60 best. 40 Sales 20 Interval Scale 120 100 0 Q1 Q2 Q3 Q4 80 60 With interval scales, you are not forced in all cases to use lines; you can use bars and points 40 as well. If you want to emphasize the overall shape of the data or changes from one item to 20 the next, lines work best. 0 Q1 Q2 Q3 Q4 47
  • 48. Bars encode data in a way that emphasizes individual values powerfully This ability is due in part to the fact that bars encode quantitative values in two ways: (1) the 2-D position of the bar’s endpoint in relation to the quantitative scale, and (2) the length of the bar. You probably recognize that these two characteristics correspond precisely to the two visual attributes that can be used to encode data in graphs. When you want to draw focus to individual values or to support the comparison of individual values to one another (see figure 19), bars are an ideal choice. They don’t, however, do as well as lines in revealing the overall shape of the data. Bars may be oriented vertically or horizontally. 100 Budget Actual 90 80 70 60 50 40 30 20 10 0 Rewards Exchange 48
  • 49. Whenever you use bars, your quantitative scale must include zero The lengths of the bars encode their values, but won’t When you would normally use bars, but do so accurately if those values don’t begin at zero. wish to narrow the quantitative scale to Notice what happens when you narrow the show differences between the values in quantitative scale and use bars below. Actual sales appear to be half of planned sales, but in fact they are greater detail, you should switch from bars 90% of the plan. to points, because points encode values merely as 2-D location in relation to the quantitative scale, which eliminates the need to begin the scale at zero. 100 Budget Actual 560 550 540 90 530 520 510 80 500 490 480 70 470 Rewards Exchange A B 49
  • 50. Boxes Boxes are a lot like bars, except that both ends encode quantitative values. When bars are used in this way, they are sometimes called range bars. They are used to encode a range of values, usually from the highest to the lowest, rather than a single value. In the 1970s John Tukey invented a method of using rectangles (bars with or without fill colors) in combination with individual data points (often a short line) and thin bars to encode several facts about a distribution of values, including the median (middle value), middle 50%, etc. He called his invention a box plot (a.k.a. box-and-whisker plot). 50
  • 51. Agenda Warm-Up 5 mins Data Visualisation: Why it matters 5 mins The Rules 10 mins Seven Common Quantitative Relationships 5 mins The best means to encode quantitative data in charts 5 mins Step by Step Guide 10 mins Test 5 mins 51
  • 52. Step 1: Determine your message Will the data be used to look up and compare individual values, or will the data need to be precise? Determine your message. If so, you should display it in a Don’t just turn your data table. into a chart! Think about what your Or, do both. data means, what you want to communicate Is the message contained in the and most importantly shape of the data—in your audiences’ trends, patterns, exceptions, or needs. comparisons that involve more than a few values? If so, you should display it in a graph. 52
  • 53. Step 2: Determine the best means to encode the values Nominal comparison. Bars (horizontal or vertical). Points (if the quantitative scale does not include zero). Time Series. Lines to emphasize the overall shape of the data Bars to emphasize and support comparisons between individual values Points connected by lines to slightly emphasize individual values while still highlighting the overall shape of the data Ranking. Bars (horizontal or vertical). Points (if the quantitative scale does not include zero) What am I Part-to-Whole. Bars (horizontal or vertical) Note: Pie charts are commonly used to display part-to-whole relationships, but they don’t work nearly as well as bar trying to graphs because it is much harder to compare the sizes of slices than the length of bars. Use stacked bars only when you must display measures of the whole as well represent? as the parts Deviation. Lines to emphasize the overall shape of the data (only when displaying deviation and time-series relationships together) Points connected by lines to slightly emphasize individual data points while also highlighting the overall shape (only when displaying deviation and time-series relationships together) Frequency Distribution. Bars (vertical only) to emphasize individual values. This kind of graph is called a histogram Lines to emphasize the overall shape of the data. This kind of graph is called a frequency polygon. Correlation. Points and a trend line in the form of a scatter plot 53
  • 54. Step 3: Determine where to display each variable – One Variable Place the categorical variable on the x-axis if your graph will include ONE categorical variable and any one of the following is true: • The categorical scale is an interval scale • You are using lines to encode the data • You are using bars to encode the data and the labels are not long or many If you are using bars place the categorical variable on the Y-axis when either of these two conditions exist: • The text labels associated with the bars are long • There are many bars. 120 0 20 40 60 80 100 120 100 Beef Fresh pork 80 Lamb Bacon 60 Sausage 40 Beef fillet jnt Beef sirloin joint Is better than 20 Pork roulades Fresh pork mince 0 Fresh poultry gravy Be avy ge rs s b nt es s rk n ce f rlo nt k e er er oc m co oi ge po tj Be ad in sa rg rg La gr st Po in j Ba le Beef stock m An bur u ul h bu bu fil ef try Sa es rk ro ef ef k s po 4 beef burgers ul Fr si rk ea gu Be be po ef h st es Be 8 beef steak burgers 4 h ef es Fr be Fr Angus burgers 8 54
  • 55. Step 3: Determine where to display each variable – Two or three variables If the graph involves two or three variables, you must decide which to display along the axes and which to encode using distinct versions of another visual attribute, such as colour. 200 With a line graph, place the variable that is 180 Appointments most important to your message along the X 160 Sales axis. 140 With a bar graph, encode the variable whose 120 items you want to make it easiest to 100 compare using a method other than 80 association with an axis. Notice how much 60 easier it is to compare appointments and 40 sales than the regions, because they are positioned next to one another. 20 0 Wales and West London And South Scotland and North Midlands East 55
  • 56. Step 3: Determine where to display each variable - the problem of the fourth variable This solution involves a series of small graphs, arranged in the same way as a graph with three variables, all arranged together in a way that can be seen simultaneously. Each graph is alike, including consistent scales, differing only in that each features a different item of a categorical variable. Each graph varies according to a fourth variable, which is sales channel (e.g. product). Using small multiples to support an additional variable is a powerful technique. Graphs can be arranged horizontally, vertically, or even in a matrix of columns and rows. If you need to display one more variable than you can fit into a single graph, select this approach. Face-Value Rewards Big Exchange Midlands 2010 Sales Scotland and North Appointments 2011 London And South East Wales and West 0 50 100 150 200 0 50 100 150 200 0 50 100 150 200 56
  • 57. Step 4: Determine the best design for the remaining objects - Scale It’s now time to make a series of design decisions that remain, including the scales and text. These decisions are concerned with the placement and visual appearance of items. Sales If the graph will be used for analysis purposes 1800 that require seeing the differences between 1600 values in as much detail as possible, narrowing the scale can be useful. Generally, you should 1400 adjust the scale so that it extends a little below the lowest data value and a little above the 1200 highest. 1000 800 560 Q1 Q2 Q3 Q4 550 540 530 520 If you are using bars to encode the 510 data, but your message could be better communicated by narrowing the 500 scale, Remember to switch from bars 490 to points! 480 470 A B 57
  • 58. Step 4: Determine the best design for the remaining objects - Legend Sales 1800 If a Legend Is Required, and London and South East you are using lines, label the 1600 lines directly Wales and West 1400 1200 1000 100 Budget Actual 800 90 Q1 Q2 Q3 Q4 80 70 60 If you are using bars, place the 50 40 legend above the plot area with 30 the labels arranged side-by-side 20 in the same order as the bars 10 0 Rewards Exchange 58
  • 59. Step 4: Determine the best design for the remaining objects – Tick Marks and Scales Tick marks are only necessary on quantitative scales, for they serve no real purpose on categorical scales. A number between 5 and 10 tick marks usually does the job; too many clutters the graph and too few fail to give the level of detail needed to interpret the values. If the graph can be read with the scale in only one place (left, right, top bottom) place it nearest the data you want to emphasise or make easiest to read. If the graph is so large it cannot be read with only one scale, place it in both positions ( top and bottom, left and right). 59
  • 60. Step 4: Determine the best design for the remaining objects – Gridlines Unless they are necessary to understand your message or divide a scatter plot into sections leave them off, and when used subdue them visually. Bear in mind graphs display patterns and relationships. If you want to communicate data with a high degree of quantitative accuracy use a table. Sales 1800 1600 1400 1200 1000 800 Q1 Q2 Q3 Q4 60
  • 61. Step 4: Determine the best design for the remaining objects – Descriptive Text Although the primary message of a graph is carried in the picture it provides, text is always required to some degree to clarify the meaning of that picture. Some text if often needed, including: – A descriptive title – Axis titles (unless the nature of the scale and its unit of measure are already clear) Numbers in the form of text Widget Sales by Region and along quantitative scales are Sales Calendar Quarter (2007) always necessary and 1800 legends often are. It is often London and South East useful to include one or 1600 more notes to describe what Wales and West is going on in the 1400 graph, what ought to be Widget sales in examined in particular, or London and South 1200 how to read the East have been ahead of Wales graph, whenever these bits 1000 and West with the of important information are exception of Q3 not otherwise obvious. 800 Q1 Q2 Q3 Q4 61
  • 62. Step 5: Determine if particular data should be featured, and if so, how The final major stage in the process involves highlighting particular data if some data is more important than the rest. Whatever the reason, you have a number of possible ways to make selected data stand out. One of the best and simplest ways is to encode those items using bright or dark colours, which will stand out clearly if you’ve used soft colours for everything else. Other methods include: –When bars are used, place borders only around those bars that should be highlighted. –When lines are used, make the lines that must stand out thicker. –When points are used, make the featured points larger or include fill colour in them alone. Sales Sales 1800 120 100 1600 80 1400 60 1200 40 20 1000 0 800 A B Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 62
  • 63. Remember to follow this process for graph selection and design in order to communicate your information in the most effective manner Determine your message and identify your data Determine if a table, graph, or combination of both is needed to communicate your message Determine the best means to encode the values Determine where to display each variable The best means to encode quantitative data in charts Determine the best design for the remaining objects Determine if particular data should be featured, and if so, how 63
  • 64. Summary Whenever you create a graph, you have a choice to make — to communicate or not. That’s what it all comes down to. If you have something important to say, then say it clearly and accurately. These guidelines are designed to help you do just that.
  • 65. Agenda Warm-Up 5 mins Data Visualisation: Why it matters 5 mins The Rules 10 mins Seven Common Quantitative Relationships 5 mins The best means to encode quantitative data in charts 5 mins Step by Step Guide 10 mins Test 5 mins 65
  • 66. Which graph makes it easier to determine whether Mid-Cap US stocks or Small-Cap US stocks have a greater share? A B 66
  • 67. Which of these line graphs is easier to read? A B 67
  • 68. Which of these tables is easier to read? A B 68
  • 69. Which graph makes it easier to focus on the pattern of change through time, instead of the individual values? A B 69
  • 70. Only one of these graphs accurately encodes the values. The other skews the values in a misleading manner. Which graph presents the data accurately? A B 70
  • 71. Which map makes it easier to find all of the counties with positive growth rates? A B 71
  • 72. Which graph makes it easier to determine R&D’s travel expense? A B 72
  • 73. In which graph are the labels easier to read? A B 73
  • 74. Which graph is easier to look at? A B 74
  • 75. Which table allows you to see the areas of poor performance more quickly? A B 75
  • 76. What percentage of the population is colour-blind?

Notas do Editor

  1. Once you know what you want to say, effective visual communication is achieved by displaying information in a way that enables people to clearly see an accurate representation of your message and understand what they see. To do this, you must understand a few things about how people see (visual perception) and how people think (cognition).
  2. A common problem with tables and graphs is the excessive presence of visual content that doesn’t represent actual data. Whenever quantitative information is presented, the data itself should stand out clearly, without distraction. This involves eliminating anything that doesn’t represent data, except for visual devices that support the data in a necessary way (for example, axes in a graph), in which case they should be displayed in muted fashion so as to not distract from the data itself.
  3. Because differences in visual properties, such as color, are used to communicate actual differences in theinformation itself, visual differences should never be used arbitrarily. When people notice visual differences,they try to discern the meaning of those differences. Don’t confuse people and waste their time by includingvisual differences that are meaningless.
  4. It is usually best to encode the third variable using distinct colours, rather than any of the other available methods, such as different line or fill patterns. Just be careful to use colours that are still distinct, even when photocopied.
  5. Keeping the quantitative scale consistent makes it is easy to compare the charts.
  6. Be careful whenever you narrow the scale to make sure that it is obvious to your audience that you’ve done so and won’t misread big differences between lines and points on the graph with big differences in their values, which might not be the case.Points aren’t as visually prominent as bars and consequently don’t emphasize individual values quite as forcefully, but points are a fine substitute for bars when you need to narrow the quantitative scale.
  7. The more directly you can label data, the better. For instance in a line graph with multiple lines, if you can label the lines directly (for example, at the ends of the lines), the graph will be much easier to read. In a bar graph with multiple sets of bars, you usually need a legend, but you can make it much easier to read by arranging the labels to match the arrangement of the bars, rather than the more usual way on the right. Notice also that the legend doesn’t need a border around it - it simply isn’t necessary.
  8. Even on quantitative scales, only major tick marks are necessary, with rare exceptions.When the quantitative scale corresponds to the Y axis, it can be placed on the left side, right side, or on both sides of the graph. When it corresponds to the X axis, it can be placed on the top, bottom, or both. It is usually sufficient to place the quantitative scale in one place, but if the graph is so large that some values are positioned too far from the scale to adequately determine their values, placing the scale on both the left and the right, or the top and the bottom, will solve the problem.When it only needs to appear in one place, the best choice of position depends on which values you want to emphasize or make easier to read. Placing the scale nearest to those values will accomplish . Avoid placing the scale on the right side of the graph, however, unless really necessary to serve this purpose, because the scale so rarely appears only on the right that this might momentarily disoriented those who use the graph.If the quantitative scale ranges between positive and negative values, the axis line should be positioned at zero, but the labels should be placed elsewhere so they won’t interfere with the data. For instance, when the quantitative scale is on the X axis, it is usually best to place the text labels just below the plot area of the graph.
  9. Grid lines in graphs are mostly a vestige of the old days when graphs had to be drawn by hand on grid paper. Today, with computer-generated graphs, grid lines are only useful when one of the following conditions exists:• Values cannot be interpreted with the necessary degree of accuracy• Subset of points in multiple related scatter plots must be comparedBear in mind that it is not the purpose of a graph to communicate data with a high degree of quantitative accuracy, which is handled better by a table. Graphs display patterns and relationships. If a bit more accuracy than can be easily discerned is necessary, however, you may include grid lines, but when you do, you should subdue them visually, making them just barely visible enough to do the job. When you are using multiple related scatter plots and wish to make it easy for folks to compare the same subset of values in two or more graphs, a subtle matrix of vertical and horizontal grid lines neatly divides the graphs into sections, making it easy to isolate particular ranges of values.