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Mean Deviation Calculator - Online Calculator - Tutorpace

# Mean Deviation Calculator

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Mean deviation is the mean of the distance between mean and each value in the given data.

Where,…… set of elements, is Mean and n stands for number of elements in the given data. Steps involved in finding the mean deviation

1. Find the mean for the given data

2. Find the absolute difference between each value and mean.

3. Find the sum of all values and then divide the result with number of numbers

Example 1: A student wrote 5 exams and secured 100 in Math, 84 in Science, 75 in English, 90 in Social and 96 in Biology. Find the mean deviation.

Find the mean:

= = = 89

 µ | | = 100 89 100 – 89 = 11 11 = 84 89 84 – 89 = -5 5 = 75 89 75 – 89 = -14 14 = 90 89 90 – 89 = 1 1 = 96 89 96 – 89 = 7 7 38

Mean deviation = = = 7.6

Example 2: Find the missing number and mean deviation for the sample 4, 10, 15, 20, P, 2 and mean of the sample is 9.

Mean = =

9 =

Multiplying by 6 on both sides

51 + P = 54

Add – 51 on both sides

P = 3

So the missing number = P = 3

 µ | | = 4 9 4 – 9 = -5 5 = 10 9 10 – 9 = 1 1 = 15 9 15 – 9 = 6 6 = 20 9 20 – 9 = 11 11 = P = 3 9 3 – 9 = -6 6 = 2 9 2 – 9 = -7 7 36

Mean deviation = = = 6