The mean of the following distribution is 18. Find the missing frequency f. Classes (marks 11,13,15,17,19,21,23) with frequencies 3,6,9,13,f,5,4. What is the value of f?
Class 10Mean of Grouped DataStatistics and Probability
A56
B112
C50
D62
Step-by-Step Solution
sum fi = 40+f. fi*xi = 3×11+6×13+9×15+13×17+f∗19+5×21+4×23=33+78+135+221+19f+105+92=664+19f. Set (664+19f)/(40+f)=18⇒664+19f=720+18f⇒f=56.
Answer: A) 56
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