What is the mean of the following distribution? 

Correct option is A

Given:

Discrete data with marks x$$_i=$$​{14,26,44,61,84} and frequencies $$f_i=$$​{91,78,95,36,98}.

Formula Used:
Mean of discrete distribution
​$$\bar{x}=\frac{\sum f_i x_i}{\sum f_i}$$​​

Solution:

​$$\sum f_i=91+78+95+36+98=398 \\ \ \\ \sum f_ix_i=14(91)+26(78)+44(95)+61(36)+84(98)=17910 \\ \ \\\bar{x}=\frac{17910}{398}=45$$​​