Answer :
To determine which group of students' heights the population variance, [tex]\(\sigma^2\)[/tex], refers to, let’s first define what population variance represents.
Population variance, [tex]\(\sigma^2\)[/tex], is a measure of the spread of a set of values in a population. In other words, it tells us how much the values in the entire population deviate from the mean of the population.
Given the problem:
- We have a population of 508 students.
- We take a sample of 69 students from this population.
The population variance, [tex]\(\sigma^2\)[/tex], is specifically related to the entire population, meaning it measures the variance of heights for all 508 students, not just the sample.
So, the population variance [tex]\(\sigma^2\)[/tex] corresponds to the variance of the heights of all 508 students, not just the 69 students in the sample.
Thus, the correct answer is:
D. 508
Population variance, [tex]\(\sigma^2\)[/tex], is a measure of the spread of a set of values in a population. In other words, it tells us how much the values in the entire population deviate from the mean of the population.
Given the problem:
- We have a population of 508 students.
- We take a sample of 69 students from this population.
The population variance, [tex]\(\sigma^2\)[/tex], is specifically related to the entire population, meaning it measures the variance of heights for all 508 students, not just the sample.
So, the population variance [tex]\(\sigma^2\)[/tex] corresponds to the variance of the heights of all 508 students, not just the 69 students in the sample.
Thus, the correct answer is:
D. 508
