The calculation of sample variance will be larger than the population variance for the following data: 3,5,4,7,3,5,4,8,and 9.

Question

Quizplus · Accepted Answer

The sample variance is calculated using the formula:

s^2 = Σ(xi - x̄)^2 / (n-1)

Where Σ(xi - x̄)^2 is the sum of squared deviations from the mean, n is the sample size, and x̄ is the sample mean.

Since the sample variance formula divides by (n-1) instead of n, it results in a slightly larger value than the population variance formula. Therefore, the statement is true.

The Calculation of Sample Variance Will Be Larger Than the Population