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Question

Find the mean deviation about the mean for the data
38,70,48,40,42,55,63,46,54,44

Solution
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The given data is 38,70,48,40,42,55,63,46,54,44
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
M.D.=10i=1xi¯x10
=12+10+2+10+8+5+13+4+4+610
=8410
=8.4

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