#### The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching centre are given as follows : Speed (km/h) 85-100 100-115 115-130 130-145 Number of players 11 9 8 5 Calculate the median bowling speed.

Solution.
Here n = 33
$\frac{n}{2}= \frac{33}{2}= 16\cdot 5$

$\iota = 100$
h = 15, f = 9 , cf  = 11
Median  $= \iota +\left ( \frac{\frac{n}{2}-cf}{f} \right )\times h$
$=100+\frac{\left ( 16\cdot 5-11 \right )\times 15}{9}$
$=100+\left ( \frac{55}{10\times 9} \right )\times 15$
$=100+\frac{55\times 5}{30}$
$=100+\frac{275}{30}$
= 100 + 9.16    $\Rightarrow$ 109.16