Statistics And Probability Question 268
Question: The mean of a set of numbers is $ \bar{x} $ . If each number is multiplied by l, then the mean of new set is
Options:
A) $ \bar{x} $
B) $ \lambda +\bar{x} $
C) $ \lambda \bar{x} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ \bar{x}=\frac{\Sigma x_{i}}{n} $ , $ \Sigma x_{i}=n\bar{x} $ New mean = $ \frac{\Sigma \lambda x_{i}}{n} $ $ =\lambda \frac{\Sigma x_{i}}{n} $ $ =\lambda \bar{x} $ .
BETA
