A researcher selects a sample of 24 participants and has them complete a survey

Question

A researcher selects a sample of 24 participants and has them complete a survey on dating preferences. In this example, what are the degrees of freedom for sample variance and what does this figure represent?

df = 24; it represents the number of scores that are free to vary in a sample.df = 23; it represents the number of scores that are free to vary in a sample.    df = 23; dividing SS by df makes the sample variance a biased estimator of the population variance.df = 24; dividing SS by df makes the sample variance an unbiased estimator of the population variance.

Explanation / Answer

Solution:

If sample size =24 than
Degree of freedom = 24-1 =23
sample variance can be calculated as
Variance = summation(X-Xi)^2 / (n-1)
SO Df= 23 and it represents that dividing Sum of square by df makes the sample variance a biased estimator of the popullation variance.

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