Find the mode of the following distribution of marks obtained by 80 students: Marks obtained   0-10         10-20                           20-30       30-40                           40-50 No. of students   6              10                           12            32                           20

Explanation

In this question, Modal class is 30-40. So, `l` is 30.

Frequency of Modal class`(f) `= 32

Frequency of Pre Modal class`(f1)` = 12

Frequency of succeeding Modal class`(f2)` = 20

Interval`(i)` = 10

We know, Mode = `l+((f-f1)/(2f-f1-f2))**i`

Putting tthe above values in formula,

Mode = `30+((32-12)/(2**32-12-20))*10`

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