Question

In the following data the median of the runs scored by 60 top batsmen of the world in one day international cricket matches is 5000. Find the missing frequencies x and y

Answer 1

We prepare the cumulative frequency table, as shown below:

Let x and y be the missing frequencies of class intervals 3500 – 4500 respectively. 

Then, 25 + x + y = 60 

⇒ x + y = 35 ……(1) 

Median is 5000, which lies in 4500 – 5500. So, the median class is 4500 – 5500. 

∴ l = 4500, h = 1000, N = 60, f = y and cf = 5 + x 

Now