Q. 3

# Daily wages of 90

Observe that, from the given data:

The maximum class frequency, here, is 33 and the class corresponding to this frequency is 550 – 650.

So, this implies that,

Modal class = 550 – 650

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

l = lower limit of the modal class = 550

f0 = frequency of the class preceding the modal class = 12

f1 = frequency of the modal class = 33

f2 = frequency of the class succeeding the modal class = 17

c = size of class interval (the class intervals are same) = 100

Substituting the values l = 550, f0 = 12, f1 = 33, f2 = 17 and c = 100 in the formula of mode. We get    Mode = 550 + 56.76

Mode = 606.76

Thus, the modal wage of an employee is Rs. 606.76.

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