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 $ .