Statistics And Probability Question 357

Question: The A.M. of n observations is M. If the sum of $ n-4 $ observations is a, then the mean of remaining 4 observations is

Options:

A) $ \frac{n,M-a}{4} $

B) $ \frac{n,M+a}{2} $

C) $ \frac{n,M-A}{2} $

D) n M + a

Show Answer

Answer:

Correct Answer: A

Solution:

Let the mean of the remaining 4 observations be $ {{\bar{x}}_1} $ . Then, $ M=\frac{a+4{{{\bar{x}}}_1}}{(n-4)+4} $ Þ $ \overline{x_1}=\frac{nM-a}{4} $ .