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38,70,48,40,42,55,63,46,54,44

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Mean ¯x=38+70+48+40+42+55+63+46+54+4410

=50010=50

The deviations of the respective observation from the mean ¯x, i.e. xi=¯x are −12,20,−2,−10,−8,5,13,−4,4,−6.

The absolute values of the deviations i.e.∣x1−¯x∣ are 12,20,2,10,8,5,13,4,4,6

The required mean deviation about the mean is

The deviations of the respective observation from the mean ¯x, i.e. xi=¯x are −12,20,−2,−10,−8,5,13,−4,4,−6.

The absolute values of the deviations i.e.∣x1−¯x∣ are 12,20,2,10,8,5,13,4,4,6

The required mean deviation about the mean is

M.D.=∑10i=1∣xi−¯x∣10

=12+10+2+10+8+5+13+4+4+610

=8410

=8.4

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