Find the mean deviation about the mean for the following data :
$3, 6, 10, 4, 9, 10$

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Solution

Mean $¯ x = \frac{3 + 6 + 10 + 4 + 9 + 10}{6} = \frac{42}{6} = 7$
Mean deviation about mean $= \frac{| 3 - 7 | + | 6 - 7 | + | 10 - 7 | + | 4 - 7 | + | 9 - 7 | + | 10 - 7 |}{6} = \frac{4 + 1 + 3 + 3 + 2 + 3}{6} = \frac{16}{6} = \frac{8}{3}$

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