Find the value of Mode from the following data. Marks No of Students…

The correct answer is Option 3 :33.70

Marks	No of Students
0-10	5
10-20	12
20-30	15
30-40	25
40-50	8
50-60	3
60-70	2

The Modal class is (30-40) as it has the highest frequency of 25.

Mode = L + [D1/ (D1 + D2)] * h

Where,

L = lower limit of the modal class

D1 = difference between the frequency of the modal class and the frequency of the class preceding the modal class (ignoring signs).

D2 = difference between the frequency of the modal class and the frequency of the class succeeding the modal class (ignoring signs).

h = class interval of the distribution.

Putting the values in the formula of mode,

D1= 25 - 15 = 10

D2= 25 - 8 = 17

h= 10

Mode = 30 + [10/ (10 + 17)] * 10

        = 30 + 100/27

       = 33.70