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The mean deviation about mean of 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

$x_{i} = \begin{matrix} 5 & 6 & 7 & 8 & 6 & 9 & 13 & 12 & 15 \end{matrix}$

n=9

$\bar{x} = \frac{1}{n} \sum x i = \frac{81}{9} = 9$

Mean deviation about mean

$= \frac{1}{n} \sum | x i - \bar{x} |$

$= \frac{1}{9} [4 + 3 + 2 + 1 + 3 + 4 + 3 + 6]$

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

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