Mean Median Mode and Range Explained Math

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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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