Question

# The following data shows the runs scored by different batsmen. Find the modal number of runs scored by the batsmen.Runs ScoredNumber of batsmen3000−400044000−5000185000−600096000−700077000−800068000−900039000−10000110000−110001

A
4300
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B
4000
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C
4608.69
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D
5000
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Solution

## The correct option is C 4608.69Modal calss is the class with the highest frequency. So, the modal class for the given data is 4000-5000.∵Mode =l+(f1−f02f1−f0−f2)×hwhere f1 represents the frequency of the modal class.Also,l=lower boundary of the modal classh= size of the modal class intervalf0= frequency of the class preceding the modal classf2= frequency of the class succeeding the modal class∴Mode =4000+[(18−42(18)−4−9)]×1000 =4000+[(18−436−4−9)]×1000=4000+[(1423)]×1000=4608.69

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