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Mean Median & Mode

Mean, median and mode are three kinds of averages. Each provides you with a different type of information about a distribution of scores but they are fairly simple to compute and interpret.  

Click here for the Data Set Used

The Mean

The Mean is the average of all the scores in your data set.

  • 1) Add the numbers.    3+ 3+ 4+ 5+ 6 = 21

  • 2) Divide by how many numbers were in the list.  There are 5 numbers in this list.       21 / 5 = 4.2

                       The Mean (Average) is 4.2

The Median

The Median is the number in the middle of the list.
To calculate the median:

  • First, put the numbers in order.   3, 3, 4, 5, 6

  • The number in the middle is 4.  

     The Median is 4

If a set of numbers has an even number of elements, the median is the mean of the middle two numbers.

  • In this set of numbers,  (2,3,4,5,5,6), 4 and 5 are in the middle.

  • Calculate the  mean of those two numbers

  • 4+5 = 9

  • 9 / 2 = 4.5 

The Median is 4.5

 

The Mode

The Mode is the number that appears the most often.

  • 3, 3, 4, 5, 6

  • 3 appears twice the other numbers only once.

  • A data set can have more than one mode or no mode at all.

The Mode is 3

Mean Median & Mode

Calculating Mean Median & Mode using Excel

Calculating Mean Median & Mode using SPSS

Mean Median & Mode

Mean, median and mode are three kinds of averages. Each provides you with a different type of information about a distribution of scores but they are fairly simple to compute and interpret.  

 

The Mean

The Mean is the average of all the scores in your data set.

  • 1) Add the numbers.    3+ 3+ 4+ 5+ 6 = 21

  • 2) Divide by how many numbers were in the list.  There are 5 numbers in this list.       21 / 5 = 4.2

                       The Mean (Average) is 4.2

The Median

The Median is the number in the middle of the list.
To calculate the median:

  • First, put the numbers in order.   3, 3, 4, 5, 6

  • The number in the middle is 4.  

     The Median is 4

If a set of numbers has an even number of elements, the median is the mean of the middle two numbers.

  • In this set of numbers,  (2,3,4,5,5,6), 4 and 5 are in the middle.

  • Calculate the  mean of those two numbers

  • 4+5 = 9

  • 9 / 2 = 4.5 

The Median is 4.5

 

The Mode

The Mode is the number that appears the most often.

  • 3, 3, 4, 5, 6

  • 3 appears twice the other numbers only once.

  • A data set can have more than one mode or no mode at all.

The Mode is 3

Mean Median & Mode

Calculating Mean Median & Mode using Excel

Calculating Mean Median & Mode using SPSS

Created by Fahima Bacha, James Murduca, Stephanie Talalai & Jennifer Vanyi

for EDTC 810- Statistics for Educational Research- Spring 2017

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