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

Find the mode of data.

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Solution

The given data is shown below.

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

Here, the maximum frequency is 18 so the modal class is 4000-5000.

Therefore,



Mode=l+f-f12f-f1-f2×h=4000+18-42×18-4-9×1000=4000+1423×1000=4000+608.7=4608.7


Thus, the mode of the data (or runs scored) is 4608.7.


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