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  • Find the mean deviation about the mean for the data. (1) 4,7,8,9,10,12,13,17

1. Find the mean deviation about the mean for the data.

    \small 4,7,8,9,10,12,13,17

Answers (1)

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Mean (\overline{x}) of the given data:

\overline{x} = \frac{1}{8}\sum_{i=1}^{8}x_i = \frac{4+ 7+ 8+ 9+ 10+ 12+ 13+ 17}{8} = 10

The respective absolute values of the deviations from mean, |x_i - \overline{x}| are

6, 3, 2, 1, 0, 2, 3, 7

\therefore  \sum_{i=1}^{8}|x_i - 10| = 24

\therefore M.D.(\overline{x}) = \frac{1}{n}\sum_{i=1}^{n}|x_i - \overline{x}|

= \frac{24}{8} = 3

Hence, the mean deviation about the mean is 3.

Posted by

HARSH KANKARIA

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