Statistics And Probability Question 425

Question: The variance of a, b and g is 9, then variance of 5a, 5b and 5g is

[AMU 1998]

Options:

A) 45

B) 9/5

C) 5/9

D) 225

Show Answer

Answer:

Correct Answer: D

Solution:

When each item of a data is multiplied by $ \lambda $ , variance is multiplied by $ {{\lambda }^{2}} $ . Hence, new variance $ =5^{2}\times 9 $ $ =225 $ .