First slide

Introduction to statistics

Question

If the S.D. of $y_{1}, y_{2}, y_{3}, \dots, y_{n}$ is 6, then the variance of $y_{1} - 3, y_{2} - 3, y_{3} - 3 \dots, y_{n} - 3$ , is

Moderate

A

6
B

36
C

3
D

27

Solution

As S.D. is independent of change of origin.
Therefore S.D. of $y_{1} - 3, y_{2} - 3, \dots, y_{n} - 3$ is also 6.
So, their variance is 36.

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