Q. 15.0( 1 Vote )

# Find the mode for

Observe that, from the given data:

The maximum class frequency, here, is 15 and the class corresponding to this frequency is 20 – 24.

So, this implies that,

Modal class = 20 – 24

Mode of such grouped frequency distribution is given by, Where,

l = lower limit of the modal class = 20

f0 = frequency of the class preceding the modal class = 7

f1 = frequency of the modal class = 15

f2 = frequency of the class succeeding the modal class = 1

c = size of class interval (the class intervals are same) = 4

Substituting the values l = 20, f0 = 7, f1 = 15, f2 = 1 and c = 4 in the formula of mode. We get     Mode = 20 + 1.45

Mode = 21.45

Thus, the mode is 21.45.

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