The following table gives the distribution of the average weekly wages of 800 workers in a factory. Calculate the median or the data given below.

This is a grouped frequency distribution, in which median is calculated as follows.

We have the following table:

Here, we get total frequency, N = 800. So,

Since, N/2 = 400. Mark a cumulative frequency which is just greater than 400.

Here, it is 550. So, median class would be 40 – 45.

Median is given by

Where, l = lower limit of the median class = 40

N/2 = 400 (as calculated above)

m = cumulative frequency of the class preceding the median class = 400

f = frequency of the median class = 150

c = width of the median class = 5

Putting all these values in the formula, we get

⇒

⇒ Median = 40 + 0 = 40

Thus, median is 40.