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Question

The marks in science of 80 students of class X are given below: Find the mode of the marks obtained by the students in science.
Marks: 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80 80−90 90−100
Frequency: 3 5 16 12 13 20 5 4 1 1

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Solution

Marks 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80 80−90 90−100
Frequency 3 5 16 12 13 20 5 4 1 1

Here, the maximum frequency is 20 so the modal class is 50−60.

Therefore,



Now,



Thus, the mode of the marks obtained by the students in science is 53.17.


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