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Pareto charts
1. Pareto Charts
Pareto (pa-RAY-toe) analysis is named after Vilfredo Pareto, an Italian economist who lived in the late 19th and
early 20th centuries. In 1897, he presented a formula that showed that income was distributed unevenly, with
about 80% of the wealth in the hands of about 20% of the people.
In a similar way, a disproportionately large percentage of errors or defects in any process are usually caused by
relatively few problems. Pareto analysis helps identify those significant few problems so people can target them
for action. It is particularly helpful in the measure and control phases of Six Sigma methodology.
What can it do for you?
There are so many aspects of work that can be improved, knowing where to begin is often difficult. Pareto
analysis will help you:
Categorize and stratify such things as errors, defects, delays, customer complaints or any other measures of
the resulting quality of your process so that you can identify different classes or types of problems.
Graphically display your results so that the significant few problems emerge from the general background.
How do you do it?
1. Decide how to classify your problems. This may involve looking at the reasons cited for returned or rejected
material, talking to your customer, or examining the rework aspects of your process.
2. Create a preliminary list of problem categories. Try to keep this list to no more than six or seven. (You may
find yourself modifying this list as you continue your analysis.)
3. Decide on a time frame or other scope limitations on the material you will consider. The time frame or
scope you choose should be representative of the whole process you are examining.
4. Tally the occurrences in each problem classification. (If cost or time is an issue, you may wish to tally the
cost or time involved in each problem classification.) If a problem does not fit in any of your classifications,
tally it as “other.”
2. 5. Determine the total occurrences (or total cost or total time) in each classification. Add these totals to
produce a grand total.
6. Divide each classification total by the grand total to determine the percentage that each individual problem
classification represents of all the problems.
7. Arrange the problem classifications in order from highest value or most frequent to lowest value or least
frequent. The “other” category should always be put last even if it is larger than some of the others.
8. Draw a horizontal axis and two vertical axes. Mark the left vertical axis in increments from zero to the grand
total of all the problem classifications. Mark the right vertical axis in increments from zero to 100%.
9. Construct the vertical bar diagram beginning on the left with the highest percentage classification and
progressing to the lowest and ending with “other.” The height of each bar should correspond with the value
or number of occurrences on the left axis and the percentage of the total on the right axis. The width of the
bars should be the same and they should be touching.
10. Label the bars under the horizontal axis.
11. Beginning at the left zero point, plot a line showing the cumulative percentage total reached with the
addition of each problem classification. The line should end at the 100% mark on the right axis.
12. Title the chart. It is also a good idea to write a brief summary telling how and when you collected the data
you used to produce your Pareto chart.
NOTE: The first pass at a Pareto chart may identify a significant problem that is still too big to work on. A
second Pareto analysis may be necessary to break this most significant problem into workable pieces.
3. Now what?
If everyone tried to make improvements individually with no definite basis for what they were doing, much
energy would produce disappointing results. A Pareto chart is a useful tool to draw the attention and
cooperation of all concerned to target the most important problems affecting quality.
Use the Pareto chart as a basis to “divide and conquer” problems. It tells you what to work on first.
It is normally easier to reduce a tall bar by half than to reduce a short bar to zero. Use the Pareto chart like a
map to “island hop.” Significantly reduce one big problem, and then hop to the next. Leave the smaller
problems for “mopping up” later.
Of course, if you find a small problem that is easy to fix, don’t ignore it. But don’t get tangled in chasing
small problems or trying to fix everything at once.
After you have worked on the problems for a while, use the same techniques to collect data again and create
a new Pareto chart.
The new chart will tell you how you are doing. Use the data on the new chart to identify and target the new most
significant problems.
Pareto Chart
4000
100
Percent Distribution
Jan 2008 Rejects
3000 80
60
2000
40
1000
20
0 0
Jan 2008 Rejects PS2 EY7 AD1 Others FD1 Other
2008 1350 1000 500 320 300 180
Percent 37.0 27.4 13.7 8.8 8.2 4.9
Cum % 37.0 64.4 78.1 86.8 95.1 100.0
4. Pareto charts can be used to identify problems to work on. They can help you produce greater efficiency,
conserve materials, reduce costs or increase safety. They are most meaningful, however, if your customer–the
person or organization that receives your work and helps define the problem categories.
Steven Bonacorsi is the President of the International Standard for Lean Six Sigma
(ISLSS) and Certified Lean Six Sigma Master Black Belt instructor and coach. Steven
Bonacorsi has trained hundreds of Master Black Belts, Black Belts, Green Belts, and
Project Sponsors and Executive Leaders in Lean Six Sigma DMAIC and Design for
Lean Six Sigma process improvement methodologies.
Author for the Process Excellence Network (PEX Network /
IQPC). FREE Lean Six Sigma and BPM content
International Standard for Lean Six Sigma
Steven Bonacorsi, President and Lean Six Sigma Master Black Belt
47 Seasons Lane, Londonderry, NH 03053, USA
Phone: + (1) 603-401-7047
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