Calculate the mean deviation (from the mean) of the following values: 2, 4, 7, 8 and 9.

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Q. Calculate the mean deviation (from the mean) of the following values: 2, 4, 7, 8 and 9.

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Mean $= 6$ , $\sum |d| = 12$ , so $M.D. = \dfrac{12}{5} = 2.4$ .

Step 1 — Arithmetic mean.

\bar{X} = \dfrac{\sum X}{n} = \dfrac{2 + 4 + 7 + 8 + 9}{5} = \dfrac{30}{5} = 6

Step 2 — Absolute deviations from the mean (all deviations taken positive).

Step 3 — Mean deviation.

M.D. = \dfrac{\sum |d|}{n} = \dfrac{12}{5} = 2.4

Q.Calculate the mean deviation (from the mean) of the following values: 2, 4, 7, 8 and 9.