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

Modal class =30-40

So we have, `1=30, f_{0}=12, f_{1}=32, f_{2}=20 `and h=10



`Rightarrow { Mode } =1+frac{f_{1}-f_{1}}{2 f_{1}-f_{j} f_{2}} times h `

`=30+frac{32-12}{2 times 32-12-20} times 10 `

=30+6.25

=36.25

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