Statistics And Probability Question 456
Question: The mean of a set of numbers is $ \bar{X} $ if each number is divided by 3, then the new mean is
Options:
A) $ \bar{X} $
B) $ \bar{X}+3 $
C) $ 3\bar{X} $
D) $ \frac{{\bar{X}}}{3} $
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Answer:
Correct Answer: D
Solution:
[d] Let $ x_1,x_2,….,x_{n} $ be n numbers. Then $ \bar{X}=\frac{1}{n}\sum\limits_{t=1}^{n}{x_1.} $ If each number is divided by 3, then the new mean $ \bar{Y} $ is given by $ \bar{Y}=\frac{1}{n}\sum\limits_{i=1}^{n}{( \frac{x_{i}}{3} )=\frac{1}{3}( \frac{1}{n}\sum\limits_{i=1}^{n}{x_{i}} )=\frac{{\bar{X}}}{3}} $
BETA
