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

Final answer

The mean deviation of 15 in the following numbers:

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

= –6

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