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Home » 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.
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.
CBSE | Class 10 | Exercise 13.3 | NCERT Exemplar | Statistics and Probability
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.

First we develop the combined recurrence table

Speed ( in km/h)               Number of players           Cumulative recurrence

85 – 100              11           11

100 – 115            9             11 + 9 = 20

115 – 130            8             20 + 8 = 28

130 – 145            5             28 + 5 = 33

It is given that, n = 33

    \[\therefore n/2\text{ }=\text{ }33/2\text{ }=\text{ }16.5\]

Subsequently, the middle class is 100 – 115.

Where, lower limit(l) = 100

Recurrence (f) = 9

Total recurrence (cf) = 11

Furthermore, class width(h) = 15

NCERT Exemplar Class 10 Maths Chapter 13 Ex. 13.3 Question 16

    \[=\text{ }100\text{ }+\text{ }82.5/9\]

    \[=\text{ }100\text{ }+\text{ }9.17\]

= 109.17

Subsequently, the middle bowling speed is 109.17 km/h.

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