First slide

Introduction to statistics

Question

Consider the numbers 1 ,2,3, 4, 5, 6,7,8, 9, 10. If 1 is added to each number, then variance of the numbers so obtained is

Moderate

A

6.5
B

2.87
C

3.87
D

8.25

Solution

We know SD of first 10 natural number is 2.87.

Variance =8.24
We know that, variance is independent of change of
origin.
Hence, after adding 1 on each observation new variance
will same i.e., 8.25

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