Question

13. the maximum bowling speed, in km per hour, of 33 players at a cricket coaching centre marks below number of students are given as follows: speed (km/h) 85-100 100-115 115-130 130-145

number of players 11 9 8 5
(ncert exemplar) find the median bowling speed.

Answer 1

The median bowling speed for the 33 cricket players is in the 100-115 km/h range, determined by finding the speed of the 17th player when listed in ascending order.

Step-by-step explanation:

To find the median bowling speed of the 33 players at the cricket coaching centre, one must organize the data and determine the middle value. Since there are 33 players, the median will be the speed of the 17th player when arranged in ascending order. Adding up the players in each speed range, we have 11 players in the 85-100 km/h range, 9 players in the 100-115 km/h range, 8 players in the 115-130 km/h range, and 5 players in the 130-145 km/h range.

Calculating the cumulative frequency up to each interval:

• 85-100 km/h: 11 players (11 cumulative)
• 100-115 km/h: 9 players (11+9 = 20 cumulative)
• 115-130 km/h: 8 players (20+8 = 28 cumulative)
• 130-145 km/h: 5 players (28+5 = 33 cumulative)

Since the 17th player falls within the 100-115 km/h range, that is where the median will also fall.

Therefore, the median bowling speed is in the 100-115 km/h range.