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

`"The highest number of frequencies is 32."`

`therefore "Modal class "=30−40`

`l = 30 , ` `h= 10 , ` `f1= 32 , ` `f0= 12 , ` `f2=20`

`therefore Mode = l + (f1-f0)/(2f1-f0-f2) xx h`

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

`= 30 + (20)/(64-12-20) xx 10`

`= 30 + (20)/(32) xx 10`

`= 30 + (200)/(32)`

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