Answered

Which data set has the same standard deviation as the data set {1, 1, 3, 5, 8} ?


{9, 8, 9, 8, 9}

{2, 2, 4, 6, 9}

{1, 2, 6, 6, 9}

{1, 1, 1, 2, 2}

Answer :

AKPOSEVICTORGO

The data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.

How to Find the Standard Deviation of a Data Set?

Given the data set, {1, 1, 3, 5, 8}, the standard deviation (σ) is calculated as shown below:

Standard deviation (σ) = √(SS/n)

Count (n) = 5

Mean (μ) = 3.6

Sum of Squares (SS) = 35.2

Standard deviation (σ) = (√35.2/5)

Standard deviation (σ)  = √7.04

Standard deviation (σ) ≈ 2.7

Also, the standard deviation of {2, 2, 4, 6, 9} is calculated as shown below:

Count (n) = 5

Mean (μ) = 4.6

Sum of Squares (SS) = 35.2

Standard deviation (σ) = (√35.2/5)

Standard deviation (σ)  = √7.04

Standard deviation (σ) ≈ 2.7

Therefore, the data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.

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