$\begin {array} {1 1} (A)\;8 & \quad (B)\;8.6 \\ (C)\;8.9 & \quad (D)\;9 \end {array}$

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Ans : (B)

Arranging the given data in ascending order we get

$ 34, 38, 42, 44, 46, 48, 54, 55, 63, 70$

Median = $ \large\frac{1}{2}$ $ (T+T_1) = \large\frac{46+48}{2}$

$ = 47$

Mean deviation = $ \large\frac{1}{n}$ $ \Sigma | x_i-M_e |$

$ \large\frac{1}{10} $ $ \Sigma n|x_i-47|$

$ \large\frac{1}{10} $ $ ( 13+9+5+3+1+1+7+8+6+23)$

$ = \large\frac{1}{10}$$(86)$

$ = 8.6$

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