Compute mode of the following series:
Mid-values51015202530354045Frequency713192432281786
Since we are given mid-values (i.e, central size), first we determine the lower and upper limits of the classes.
Classesf2.5−7.577.5−12.51312.5−17.51917.5−22.52422.5−27.53227.5−32.52832.5−37.51737.5−42.5842.5−47.56
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