Question

The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching center are given as follows

Calculate the median bowling speed.

Answer 1

First we construct the cumulative frequency table

It is given that, n = 33

∴ n/2 = 33/2 = 16.5

So, the median class is 100 - 115.

Where, lower limit(l) = 100

Frequency(f) = 9

Cumulative frequency(cf) = 11

and class width(h) = 15

= 100 + 82.5/9

= 100 + 9.17

= 109.17

Hence, the median bowling speed is 109.17 km/h.