# 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.

Speed (km/hr) |
Number of players (f) |
Cumulative frequency (cf) |

85 - 100 |
11 |
11 |

100 - 115 |
9 |
11 + 9 = 20 |

115 - 130 |
8 |
20 + 8 = 28 |

130 - 145 |
5 |
28 + 5 = 33 |

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:

Speed (km/hr) | Number of players |

85 - 100 | 16 |

100 - 115 | 7 |

115 - 130 | 6 |

130 - 145 | 4 |

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

**☛ Related Questions:**

- The monthly income of 100 families are given as below: Income (in Rs) Number of families 0 - 5000 8 . . . .
- The weight of coffee in 70 packets are shown in the following table: Weight (in g) Number of packets . . . .
- Two dice are thrown at the same time. Find the probability of getting same number on both dice

visual curriculum