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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.

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Solution

From the given data, it can be observed that the maximum class frequency is 18, belonging to class interval 4000 − 5000.

Therefore, modal class = 4000 − 5000

Lower limit (l) of modal class = 4000

Frequency (f1) of modal class = 18

Frequency (f0) of class preceding modal class = 4

Frequency (f2) of class succeeding modal class = 9

Class size (h) = 1000

Therefore, mode of the given data is 4608.7 runs.


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