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Sagot :
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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