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Question 11 of 25

If a sample of 69 students is taken from a population of 508 students, the population variance, \(o^2\), is the variance of how many students' heights?

A. 69
B. 508
C. Neither 69 nor 508
D. Both 69 and 508

Answer :

Final answer:

The population variance represents the variance of the heights of all students in the population, while the sample variance represents the variance of the heights of only the students in the sample.


Explanation:

The population variance, σ2, is the variance of the entire population. In this case, the population consists of 508 students. Therefore, the population variance represents the variance of the heights of all 508 students in the population.

The sample variance, s2, is the variance of a sample taken from the population. In this case, the sample consists of 69 students. Therefore, the sample variance represents the variance of the heights of only the 69 students in the sample.

So, the answer is C. Neither 69 nor 508 since the population variance is neither the variance of 69 students nor 508 students.


Learn more about Population and sample variance here:

https://brainly.com/question/13708253


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