# Finding The Mean Deviation Of Numbers

Finding the mean deviation of numbers is a compulsory step before you can find the variance in statistics.

In this lesson, you will learn the formula and the step-by-step method for finding the mean deviation of numbers.

BONUS: A link to practice questions on statistics is included at the end of this lesson.

## Formula for finding the mean deviation of numbers

The formula for finding the mean deviation of numbers is the mean of the numbers minus each of the numbers.

Mean – Number

## Question on finding the mean deviation of numbers

Let’s take an example:

Question:

Find the mean deviation of 15 in the following numbers

15, 11, 8, 3, 13, 8, 5

## STEP 1.

### Find the mean of the numbers

Working

The mean of the numbers:

15, 11, 8, 3, 13, 8, 5

= 9

## STEP 2.

### Pick out the number given in the question

The question asked us to find the mean deviation of 15

## STEP 3.

### Transfer your answers in STEP 1 and 2 to the formula

Mean – Number
9 – 15 = -6

The mean deviation of 15 in the following numbers:

15, 11, 8, 21, 17, 3, 8

= –6

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