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The mean deviation about the mean for the following data
$5, 6, 7, 8, 6, 9, 13, 12, 15$ is

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1.55

2.88

3.89

answer is B.

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Detailed Solution

$\bar{x} = \frac{5 + 6 + 7 + 8 + 6 + 4 + 13 + 12 + 15}{9}$

$\bar{x} = 9$

Deviation $|x_{i} - \bar{x}|$

$4, 3, 2, 1, 3, 0, 4, 3, 6$

$M D = \frac{\sum |x_{i} - \bar{x}|}{9}$

$= \frac{26}{9} = 2.88$

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