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Question

Compute mean deviation from mean of the following distribution :

Marks10202030304040505060607070808090No. of students8101525201895

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Solution

Computation of mean deviation from the mean

Classnumbers of studentsfiMid points xifixi|xi¯x|=|xi49|fi|xi¯x|102081512034272203010252502424030401535525142104050254511254100506020551100612060701865117016288708097567526234809058542536180N=8i=1fi=1108i=1fixi=53908i=1fi|xi¯X|=1644

N=8i=1fi=110

and 8i=1fixi=5390

¯X=8i=1fixiN

=5390110

=49

Mean deviation 8i=1fi|xi¯X|N

=1644110

=14.945

14.95


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