What is the mean of the following distribution?

Marks	19	36	60	69	85
No. of Students	63	62	59	17	70

Correct option is D

Given:

Marks ($$x_i:)$$​19, 36, 60, 69, 85
No. of Students $$(f_i:) 63$$​, 62, 59, 17, 70

Formula Used:

Mean of a discrete frequency distribution:
​$$\bar{x}=\frac{\sum f_i x_i}{\sum f_i}$$​​
Solution:

Compute ($$f_i x_i):$$​​

​$$(19\times63=1197)$$​​

($$36\times62=2232)$$​​

($$60\times59=354$$​0)

​$$(69\times17=1173)$$​​

(8$$5\times7$$​0=5950)

​$$\sum f_i = 63+62+59+17+70 = 271 \\ \ \\\sum f_i x_i = 1197+2232+3540+1173+5950 = 14092\\ \ \\\bar{x}=\frac{14092}{271}=52$$​​
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