What is the mean of the following distribution?

Marks	13	27	59	61	97
No. of Students	95	57	80	98	73

Correct option is C

Formula Used:

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

where:

f is the frequency (number of students),

x is the value (marks),

Solution:

f × x = (95 × 13) + (57 × 27) + (80 × 59) + (98 × 61) + (73 × 97)

= 1235 + 1539 + 4720 + 5978 + 7081 = 20553

Sum of the frequencies:

∑f  = 95 + 57 + 80 + 98 + 73 = 403

Mean = $$\frac{20553}{403} =51$$ ​

Thus, the mean of the distribution is approximately 51