Q40 of 40 Page 1

Daily wages of 110 workers, obtained in a survey, are tabulated below:

Compute the mean daily wages and modal daily wages of these workers.


Mean wages = Rs 170.182 and modal wages = Rs 166.667


1. Calculation of mean



Mean


Hence, mean daily wages are Rs 170.182.


2. Calculation of mode



Here, maximum frequency fm = 22. So corresponding class 160 – 180 is modal class.


L = lower boundary of modal class = 160


fm = maximum frequency = 22


f1 = frequency of pre modal class = 20


f2 = frequency of post modal class = 18


h = width of modal class = 180 – 160 = 20





= 160 + 6.67


∴ Mode = 166.67


Therefore, modal wages of workers is Rs 166.67.


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