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Mean Deviation

The mean devi...

Question

The mean deviation of the variates 40, 62, 68, 76, 54 from their arithmetic mean is

A

9.4

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B

10

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C

11

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D

10.4

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Solution

The correct option is D
10.4

$A . M = \frac{40 + 62 + 68 + 76 + 54}{5} = \frac{300}{5} = 60 ∴ M . D . = \frac{\sum | x_{i} - ¯ x |}{n} = \frac{| 40 - 60 | + | 62 - 60 | + | 68 - 60 | + | 76 - 60 | + | 54 - 60 |}{5} \frac{20 + 2 + 8 + 16 + 6}{5} = \frac{52}{5} = 10.4$

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