Question

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

Runs scored Number of batsmen
3000−4000 4
4000−5000 18
5000−6000 9
6000−7000 7
7000−8000 6
8000−9000 3
9000−10000 1
10000−11000 1

Find the mode of the data

Answer 1

The mode of the distribution of runs scored by batsmen is the interval 4000-5000 runs, as it has the highest frequency with 18 batsmen.

Step-by-step explanation:

The question involves finding the mode of a given distribution of the number of runs scored by top batsmen in one-day international cricket matches. The mode is the value that appears most frequently in a data set. In this case, the mode is the interval with the highest frequency of batsmen.

• 3000-4000 runs: 4 batsmen
• 4000-5000 runs: 18 batsmen
• 5000-6000 runs: 9 batsmen
• 6000-7000 runs: 7 batsmen
• 7000-8000 runs: 6 batsmen
• 8000-9000 runs: 3 batsmen
• 9000-10000 runs: 1 batsman
• 10000-11000 runs: 1 batsman

The interval with the highest frequency is 4000-5000 runs, where there are 18 batsmen. Therefore, the mode of the data is the 4000-5000 runs interval.