Math Worksheets, Activities and Tutorial
Mean, Median, Mode & Range Explained
Statement of Meaning Mean Means “Average”
Mean = the average of a group of numbers.
Example
4, 8, 2, 1, 5
The Mean = 4
We find the Mean through evening out the set of numbers
4, 8, 2, 1, 5
Here are the Steps in order to find the Mean in a group of numbers
Step 1
Add up all the numbers in the group and make a total
4, 8, 2, 1, 5
4+8+2+1+5= 20
Step 2
Divide the numbers by the number of addends
4, 8, 2, 1, 5
4+8+2+1+5= 20
In this example the total addends are 5
Statement of Meaning Median means is in the “Middle”
The Median represents the Middle Number in a group of ordered numbers.
Example
4, 8, 2, 1, 5
Ordered Form
1, 2, 4, 5, 8
The Median = 7
Finding the correct Median within a group of Numbers
Step 1
Arrange all the numbers in ordered form from lowest to highest ( least to greatest )
Example:
24, 45, 12, 37, 49
Order form =
12, 24, 37, 45, 49
Finding the Median within the group of numbers ?
The Median represents the middle number within the group. Simply find the middle number which is the Median.
In this Example:
12, 24, 37, 45, 49
37 represents the Median
Finding the Median within the group of numbers with 2 middle numbers ?
If 2 middle numbers are present, simply find the Mean for these 2 numbers.
Example:
14, 18, 21, 25, 44, 46
The 2 Middle Numbers are 21 and 25
= 46
2)
23
23 represents your Median
Statement of Meaning Mode represents the most “Popular”
The Mode is the number that appears the most frequently within a set of number. This is your Mode
Example:
14, 18, 21, 25, 44, 44, 68
The Mode = 44
To find the Mode in any group of numbers, simply arrange the numbers in order first from least to greatest.
Example
25, 18, 14, 21, 68, 44, 44
In ordered form =
14, 18, 21, 25, 44, 44, 68
Now simply find the number that is repeated the most in the ordered set of numbers.
In this example, it's 44
Your mode = 44
Statement of Meaning Range refers to the distance “Between”
The Range refers to the distance between the highest and lowest value within a set of numbers.
Example
5, 12, 15, 24, 26, 31
Range = 26
How to find the “Range” based on the example above ?
First arrange all the numbers in an ordered form from the lowest to highest ( least to greatest )
5, 12, 15, 24, 26, 31
Look for the lowest and highest numbers within the group.
In this case 5 and 31
Lastly find the difference that represents these 2 numbers
31 – 5 = 26
The Range is 26
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