Following data relates to daily wages of persons working in a factory. Compute the median daily wage.

35.83

The correct answer is option 4: 35.83

In case of continuous series we have to locate the median class where N/2th item lies.

In the above question median class is the value of (N/2)th item (i.e.160/2) = 80th item of the series, which lies in 35–40 class interval.

The median can then be obtained as follows: Median =L + [(N/2- c.f)/f] * h

Where, L = lower limit of the median class

c.f. = cumulative frequency of the class preceding the median class,

f = frequency of the median class,

h = magnitude of the median class interval.

Putting the values in the formula,

Median = 35 + [(80-75)/30] * (40-35)

           = 35 + (5*5)/30

           = 35.83