Answer :
The point estimate of the population standard deviation is 5.91 (Option A)
Standard deviation refers to the spread of a data distribution and measures the distance between each data point and the mean. The sample standard deviation (s) is a point estimate of the population standard deviation σ.
The mean of the population ẋ = sum of all values/ total number of values = 97/6 ≈ 16
The point estimate of the population standard deviation S =√(∑(xi - ẋ)^2/n-1)
∑(xi - µ)^2 = (9 – 16)^2 + (13– 16)^2 + (15– 16)^2 + (15– 16)^2 + (21– 16)^2 + (24– 16)^2 = 79 + 9 + 1 + 1 + 25 + 64 = 179
s = √(179/5) = 5.98
Note: The question is incomplete. The complete question probably is: The following information was collected from a simple random sample of a population. 9 13 15 15 21 24 The point estimate of the population standard deviation is Select one: O a. 5.91. O b. 7.688. O C. 7.018. O d. 4.925.
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