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  • 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 players11 9 8 5 Calculate the median bowling speed.

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.

Answers (1)

Answer.      [109.16]
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

 

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infoexpert27

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