The following data was collected from a simple random sample of a population.

The point estimate of the population standard deviation is
A)2.500
B)1.581
C)2.000
D)1.414

Question

The following data was collected from a simple random sample of a population.

The point estimate of the population standard deviation is
A)2.500 
B)1.581 
C)2.000 
D)1.414

Quizplus · Accepted Answer

The point estimate of the population standard deviation can be calculated using the formula s = √[Σ(xi - x̄)² /(n - 1)], where s is the sample standard deviation, xi is each data point, x̄ is the sample mean, and n is the sample size. Without the actual data, we cannot calculate the point estimate. However, given the answer choices, the only option closest to the typical relationship between the sample standard deviation and the population standard deviation (s ≈ σ/√n) is B, which is approximately equal to σ/√n = 5/√(20-1) = 1.581.

The Following Data Was Collected from a Simple Random Sample