What is the mean of the following distribution?

Marks	12	22	58	79	89
No. of Students	98	74	17	28	44

Correct option is D

Given:

A frequency distribution with:

Marks = [12, 22, 58, 79, 89];

No. of Students = [98, 74, 17, 28, 44];

Required: Mean of the distribution.

Formula Used:

Mean = $$\frac{\sum (f \times x)}{\sum f}$$​​

where f = frequency (number of students),

x = value (marks)

Solution:

∑f  = 98 + 74 + 17 + 28 + 44 = 261

∑f$$\times$$​x = 1176 + 1628 + 986 + 2212 + 3916 = 9918

Mean = $$\frac{9918}{261}$$​ = 38