1.

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

Answer»

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



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