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

Model class = `30 – 40`

We have` I = 30, f0 = 32, f1 = 32, f2 = 20 and h = 10`

Mode` = I + (f1 – f0)/(2f1 – f0f1) xx h`

`= 30 + (32 – 12)/(2 xx 32 – 12 – 20) xx 10`

`= 30 + 6.25`

`= 36.25`

:. Mode` = 36.25`