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Mean, Median,
Mode, and
Range
Mean is the average of a
set of data. To calculate
the mean, find the sum of
the data and then divide
by the number of data.
12, 15, 11, 11, 7, 13
  First, find the sum of the data.
12 + 15 +11 + 11 + 7 + 13 = 69
Then divide by the number of data.
         69 / 6 = 11.5

        The mean is 11.5
You can remember that “mean” means to
average because the “mean teacher
averages your grade.”




         You try the next one!
An electronics store
           sells CD players at the
           following prices:
           $350, $275, $500,
           $325, $100, $375, and
           $300. What is the
           mean price?

Find your answer before clicking!
$350 + $275 + $500 + $325 + $100 +$375 + $300 =

                  $2225


           $2225 / 7 = $317.86


The mean or average price of a
CD player is $317.86.
Median is the middle
number in a set of data
when the data is
arranged in numerical
order.
12, 15, 11, 11, 7, 13
First, arrange the data in numerical
order. 7, 11, 11, 12, 13, 15
Then find the number in the middle
or the average of the two numbers
in the middle.
11 + 12 = 23        23 / 2 = 11.5
     The median is 11.5
An electronics store sells CD
players at the following prices:
$350, $275, $500, $325, $100,
$375, and $300. What is the
median price?

     Find your answer before clicking!
First place the prices in numerical
order.
$100, $275, $300, $325, $350, $375,
$500

The price in the middle is the median
price.

The median price is $325.
The mode is the
number that occurs the
most.
12, 15, 11, 11, 7, 13

  The mode is 11.
Sometimes a set of data will have more
  than one mode.
  For example, in the following set the
  numbers both the numbers 5 and 7 appear
  twice.

             2, 9, 5, 7, 8, 6, 4, 7, 5

5 and 7 are both the mode and this set is said
to be bimodal.
Sometimes there is no mode in a set of data.



            3, 8, 7, 6, 12, 11, 2, 1


   All the numbers in this set occur only
 once therefore there is no mode in this set.
$100, $275, $300, $325, $350, $375,
$500

         What is the mode ?


       Find your answer before clicking!
$100, $275, $300, $325, $350, $375, $500

          There is no mode!
You can remember that mode
means the number that occurs
the most because “mode” and
“most” sound alike!
The range of a set of data is the difference between the
 largest and the smallest number in the set.

For example, consider the following set:


      40, 30, 43, 48, 26, 50, 55, 40, 34, 42, 47, and 50

To find the range you would take the largest number, 50,
and subtract the smallest number, 26.

                       55 – 26 = 29

                     The range is 29!
Mean     The average

Median   The number or
         average of the
         numbers in the
         middle

Mode     The number that
         occurs most

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Mean, median, and mode

  • 2. Mean is the average of a set of data. To calculate the mean, find the sum of the data and then divide by the number of data.
  • 3. 12, 15, 11, 11, 7, 13 First, find the sum of the data. 12 + 15 +11 + 11 + 7 + 13 = 69 Then divide by the number of data. 69 / 6 = 11.5 The mean is 11.5
  • 4. You can remember that “mean” means to average because the “mean teacher averages your grade.” You try the next one!
  • 5. An electronics store sells CD players at the following prices: $350, $275, $500, $325, $100, $375, and $300. What is the mean price? Find your answer before clicking!
  • 6. $350 + $275 + $500 + $325 + $100 +$375 + $300 = $2225 $2225 / 7 = $317.86 The mean or average price of a CD player is $317.86.
  • 7. Median is the middle number in a set of data when the data is arranged in numerical order.
  • 8. 12, 15, 11, 11, 7, 13 First, arrange the data in numerical order. 7, 11, 11, 12, 13, 15 Then find the number in the middle or the average of the two numbers in the middle. 11 + 12 = 23 23 / 2 = 11.5 The median is 11.5
  • 9. An electronics store sells CD players at the following prices: $350, $275, $500, $325, $100, $375, and $300. What is the median price? Find your answer before clicking!
  • 10. First place the prices in numerical order. $100, $275, $300, $325, $350, $375, $500 The price in the middle is the median price. The median price is $325.
  • 11. The mode is the number that occurs the most.
  • 12. 12, 15, 11, 11, 7, 13 The mode is 11.
  • 13. Sometimes a set of data will have more than one mode. For example, in the following set the numbers both the numbers 5 and 7 appear twice. 2, 9, 5, 7, 8, 6, 4, 7, 5 5 and 7 are both the mode and this set is said to be bimodal.
  • 14. Sometimes there is no mode in a set of data. 3, 8, 7, 6, 12, 11, 2, 1 All the numbers in this set occur only once therefore there is no mode in this set.
  • 15. $100, $275, $300, $325, $350, $375, $500 What is the mode ? Find your answer before clicking!
  • 16. $100, $275, $300, $325, $350, $375, $500 There is no mode!
  • 17. You can remember that mode means the number that occurs the most because “mode” and “most” sound alike!
  • 18. The range of a set of data is the difference between the largest and the smallest number in the set. For example, consider the following set: 40, 30, 43, 48, 26, 50, 55, 40, 34, 42, 47, and 50 To find the range you would take the largest number, 50, and subtract the smallest number, 26. 55 – 26 = 29 The range is 29!
  • 19. Mean The average Median The number or average of the numbers in the middle Mode The number that occurs most