Find the mean deviation about the mean for the following data6,7,10,12,13,4,8,12
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answer is 2.75.
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Detailed Solution
Mean of the given data is x =6+7+10+12+13+4+8+128=728=9 The deviation of the respective observations from the mean x, is xi-x are 6-9,7-9,10-9,12-9,13-9,4-9,8-9,12-9 or -3,-2,-1,3,4,-5,-1,3 The absolute values of the deviations, xi-x are 3,2,1,3,4,5,1,3 The required mean deviation about the mean is M.D.(x)=∑ i=18 xi-x8=3+2+1+3+4+5+1+38 =228 =2.75