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Question

Compute mode of the following series:

Mid-values51015202530354045Frequency713192432281786

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Solution

Since we are given mid-values (i.e, central size), first we determine the lower and upper limits of the classes.

Classesf2.57.577.512.51312.517.51917.522.52422.527.53227.532.52832.537.51737.542.5842.547.56

By inspection, we observe that the modal class is 22.5-27.5 and it has the highest frequency

Z=l1+D1D1+D2×i

=22.5+88+4×5=25.83


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