Statistical Resources
for Educational Research
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.
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Click here for the Data Set Used
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The Mean
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The Mean is the average of all the scores in your data set.
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1) Add the numbers. 3+ 3+ 4+ 5+ 6 = 21
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2) Divide by how many numbers were in the list. There are 5 numbers in this list. 21 / 5 = 4.2
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The Mean (Average) is 4.2
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The Median
The Median is the number in the middle of the list.
To calculate the median:
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First, put the numbers in order. 3, 3, 4, 5, 6
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The number in the middle is 4.
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The Median is 4
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If a set of numbers has an even number of elements, the median is the mean of the middle two numbers.
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In this set of numbers, (2,3,4,5,5,6), 4 and 5 are in the middle.
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Calculate the mean of those two numbers
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4+5 = 9
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9 / 2 = 4.5
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The Median is 4.5
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The Mode
The Mode is the number that appears the most often.
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3, 3, 4, 5, 6
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3 appears twice the other numbers only once.
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A data set can have more than one mode or no mode at all.
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The Mode is 3
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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
​