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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

a
6.5
b
2.87
c
3.87
d
8.25

detailed solution

Correct option is D

We know SD of first 10 natural number is 2.87.Variance =8.24We know that, variance is independent of change oforigin.Hence, after adding 1 on each observation new variancewill same i.e., 8.25

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