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The Average


   It is smarter to stay away from this sometimes
  unclear term. It usually relates to the (arithmetic)
  mean. It can also indicate the mode, median, the
 weighted means, or the geometric mean, including
                      many others.
Histograms

 A Histogram, in which the
 area of each bar’s interval
 is not there. The bars are
 connected and it shows a
  difference between each
         set of data.

 The photo to the right is an
  example of a histogram.
The Mean

     The mean is the total of the data divided by the total
     amount of numbers in the set. Also called arithmetic
                            mean.
Example: What is the mean of this set of numbers? 2, 4, 6,
                          8, 10.
   First, you have to add the numbers together, getting 20.
   Then, you must divide 20 by the amount of numbers in
     the set (which is five). The mean comes out to be 4.
The Median
The median is the middle value in a set of data. If the list has an odd
    number of values, the median is the middle entry in the set, after
 arranging the list into a rising order. If the list has an EVEN amount of
 values, the median comes out to be both the sum of the two numbers
  divided by 2. The median can also be estimated using a histogram.
         Example: What is the median in this set of numbers?
                   2, 8, 9, 12, 4, 5, 6, 6, 10, 6.
  First, we have to put the numbers into increasing order. It comes out
 to be 2, 4, 5, 6, 6, 6, 8, 9, 10, 12. We have to find the number located
                       in the middle.The median is 6.
The Mode
For all lists, the mode is really the number that appears
   the most. A list can have over one mode. A list has
     no mode when every number comes up with the
     same frequency. A list has more than one mode
   when two or more numbers come up with the same
                          frequency.
   Example: Find the mode in this set of numbers:2, 3,
      6, 7, 8, 11, 13, 2, 4, 2. The mode is 2, since it
                    appears three times.
Multimodal Distribution

  A distribution witha mode greater than one. The
 histogram of a multimodal distribution has more than
                      one “bump”.



  A bump is the difference between two bars in a
                      histogram.
The Range

  The range in a set of data is the smallest number
 subtracted from the greatest number. The range is a
         single number, not several numbers.

 Example: What is the range in this set of numbers?
  64, 99, 82, 73, 58. The range is equal to 99 – 58,
                 which is equal to 41.
Total

The total is the total number of the sum. It is equal to all
          the numbers in the set added together.

  Example: What is the total of this data set? 1, 2, 3, 4,
   5, 6, 7, 8, 9, 10. We have to add them all together,
                 which comes out to be 55.
Get to Work
                                   Range: ___
    James and his friends
  compared state wide test         Mean: ___
      scores. Jon got a
                                  Median: ___
     735, Danielle got a
 675, Jamie got a 650, Amy         Mode: ___
   got a 790, Jessica got a
 790, Danny got a 625, and          Total: ___
      James got a 780.
                              Make a Histogram: ___
Answers
                                 Test Scores
                           900
  Range: 165               800
                           700
                           600
                  Scores



  Median: 735              500
                           400
                           300
Mean: About 609            200
                           100
                             0
  Mode: 790

  Total: 5,020
                                      Students
Bibliography

    www.shodor.org/interactivate/lessons/introstatistics



          7th grade Impact Math Copyright 2009



www.easycalculation.com/statistics/mean-median-mode.php

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Jess & Danny Math Exit Project

  • 1.
  • 2. The Average It is smarter to stay away from this sometimes unclear term. It usually relates to the (arithmetic) mean. It can also indicate the mode, median, the weighted means, or the geometric mean, including many others.
  • 3. Histograms A Histogram, in which the area of each bar’s interval is not there. The bars are connected and it shows a difference between each set of data. The photo to the right is an example of a histogram.
  • 4. The Mean The mean is the total of the data divided by the total amount of numbers in the set. Also called arithmetic mean. Example: What is the mean of this set of numbers? 2, 4, 6, 8, 10. First, you have to add the numbers together, getting 20. Then, you must divide 20 by the amount of numbers in the set (which is five). The mean comes out to be 4.
  • 5. The Median The median is the middle value in a set of data. If the list has an odd number of values, the median is the middle entry in the set, after arranging the list into a rising order. If the list has an EVEN amount of values, the median comes out to be both the sum of the two numbers divided by 2. The median can also be estimated using a histogram. Example: What is the median in this set of numbers? 2, 8, 9, 12, 4, 5, 6, 6, 10, 6. First, we have to put the numbers into increasing order. It comes out to be 2, 4, 5, 6, 6, 6, 8, 9, 10, 12. We have to find the number located in the middle.The median is 6.
  • 6. The Mode For all lists, the mode is really the number that appears the most. A list can have over one mode. A list has no mode when every number comes up with the same frequency. A list has more than one mode when two or more numbers come up with the same frequency. Example: Find the mode in this set of numbers:2, 3, 6, 7, 8, 11, 13, 2, 4, 2. The mode is 2, since it appears three times.
  • 7. Multimodal Distribution A distribution witha mode greater than one. The histogram of a multimodal distribution has more than one “bump”. A bump is the difference between two bars in a histogram.
  • 8. The Range The range in a set of data is the smallest number subtracted from the greatest number. The range is a single number, not several numbers. Example: What is the range in this set of numbers? 64, 99, 82, 73, 58. The range is equal to 99 – 58, which is equal to 41.
  • 9. Total The total is the total number of the sum. It is equal to all the numbers in the set added together. Example: What is the total of this data set? 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. We have to add them all together, which comes out to be 55.
  • 10. Get to Work Range: ___ James and his friends compared state wide test Mean: ___ scores. Jon got a Median: ___ 735, Danielle got a 675, Jamie got a 650, Amy Mode: ___ got a 790, Jessica got a 790, Danny got a 625, and Total: ___ James got a 780. Make a Histogram: ___
  • 11. Answers Test Scores 900 Range: 165 800 700 600 Scores Median: 735 500 400 300 Mean: About 609 200 100 0 Mode: 790 Total: 5,020 Students
  • 12. Bibliography www.shodor.org/interactivate/lessons/introstatistics 7th grade Impact Math Copyright 2009 www.easycalculation.com/statistics/mean-median-mode.php