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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/hr) 85-100 100-115 115-130 130-145
Number of players 11 9 8 5
Calculate the median bowling speed

Solution:

Given, the data represents the maximum bowling speeds of 33 cricket players at a cricket coaching centre.

We have to find the median bowling speed.

Median = l + [(n/2 - cf)/f]h

Where, l is lower limit of the median class

n is the number of observations

h is the class size

cf is the cumulative frequency of the class preceding the median class

f is the frequency of the median class

From the table,

n/2 = 33/2 = 16.5

The observation lies in the class 100 - 115

Lower limit of the class, l = 100

Class size, h = 15

Cumulative frequency of the class preceding the median class, cf = 11

Frequency of the median class, f = 9

Median = 100 + [(16.5 - 11)/9](15)

= 100 + [(5.5/9)(15)]

= 100 + 9.167

= 109.167

Therefore, the median is 109.167.

✦ Try This: The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching centre are given as follows:

Calculate the median bowling speed.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 16

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

Summary:

The median bowling speed of 33 cricket players at a cricket coaching centre is 109.167 km/hr

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