Q. 55.0( 1 Vote )

# Find the mode of the following data: Observe that, from the given data:

The maximum class frequency, here, is 28 and the class corresponding to this frequency is 50 – 60.

So, this implies that,

Modal class = 50 – 60

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

l = lower limit of the modal class = 50

f0 = frequency of the class preceding the modal class = 17

f1 = frequency of the modal class = 28

f2 = frequency of the class succeeding the modal class = 23

c = size of class interval (the class intervals are same) = 10

Substituting the values l = 50, f0 = 17, f1 = 28, f2 = 23 and c = 10 in the formula of mode. We get    Mode = 50 + 6.875

Mode = 56.875

Thus, the mode of the data is 56.875.

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