Question

if the standard deviation of 1,2,3,4,5 is root 2, what is the variance of 51,52,53,54,55?​

Answer 1

Answer:

Ans: 2

Step-by-step explanation:

We have to use 2 properties here,

1) The 2 given series are similiar and hence their standard deviations are the same.

2) The relation between standard deviation and variance is given by ,

var = σ²   (where σ is the standard deviation)

soln:

given, σ for 1,2,3,4,5 = √2

therefore σ for 51,52,53,54,55 also = √2

and hence variance var = σ²

                                         =   √2² = 2

Answer 2

Answer:

The variance of 51, 52, 53, 54, 55 = (√2)² = 2.

Step-by-step explanation:

Given:

The standard deviation of 1, 2, 3, 4, 5 is √2.

Concept used:

If we add or subtract in standard deviation data it remains same.

Variance = (Standard Deviation)²

Calculation:

The standard deviation of 1, 2, 3, 4, 5 is √2.

If we add or subtract in standard deviation data it remains same.

Variance (Standard Deviation)²

The variance of 51, 52, 53, 54, 55 = (√2)² = 2.

To learn more about standard deviation

https://brainly.com/question/475676

To learn more about Variance

https://brainly.in/question/26967579

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