Question

The following data values represent a population. What is the variance of the

U= 6. Use the information in the table to help you.
population?

x = 1 5 7 11
(X-U)to the second power= 25 1 1 25
A.11
B.6
C.25
D.13

Answer 1

The variance of the population with the given data values and a mean of 6 is calculated by summing the squared deviations (25 + 1 + 1 + 25) and dividing by the number of values, resulting in a variance of 13 (option D).

Step-by-step explanation:

The question asks for the variance of a population with given values and a provided mean of U = 6. The data values of the population are x = 1, 5, 7, 11, and their corresponding squared deviations from the mean (X-U)2 are 25, 1, 1, 25. To find the variance, we sum the squared deviations and divide by the number of values, since we are dealing with a population, not a sample.

The calculation would be: (25 + 1 + 1 + 25) / 4 = 52 / 4 = 13

Therefore, the variance of the population is 13, which corresponds to option D.