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Question

The following data shows the runs scored by different batsmen. Find the modal number of runs scored by the batsmen.
Runs ScoredNumber of batsmen3000400044000500018500060009600070007700080006800090003900010000110000110001

A
4608.69
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B
4000
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C
4300
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D
5000
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Solution

The correct option is A 4608.69
Modal calss is the class with the highest frequency. So, the modal class for the given data is 4000-5000.
Mode =l+(f1f02f1f0f2)×h
where f1 represents the frequency of the modal class.
Also,
l=lower boundary of the modal class
h= size of the modal class interval
f0= frequency of the class preceding the modal class
f2= frequency of the class succeeding the modal class
Mode =4000+[(1842(18)49)]×1000
=4000+[(1843649)]×1000=4000+[(1423)]×1000=4608.69

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