The variance of numbers is V. Consider the following statements:
| The variance of numbers is V. Consider the following statements:
is V. Consider the following statements:
1) If each 
is increased by 2, the variance of the new set of numbers is V.
2) If the numbers xi is squared, the variance of the new set is V2.
Which of the following statements is/are correct?
A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
The variance is the measure of the distance of each value in a set from its mean. It is average of squared distance from each point to the mean.
It is given as
S2 = 
Variance is not dependent on the change of origin.
Therefore, if every xi is increased by 2, the variance of the new set of numbers is not changed.
And if the numbers xi is squared, then also variance will be the same.
