Question

Consider the following two sets of scores X: 80, 70, 55, 63, 72 Y: 50, 52,...

Consider the following two sets of scores

X: 80, 70, 55, 63, 72

Y: 50, 52, 59, 60

Which of these sets of scores was more likely drawn from a population with the greater variance and why?

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Answer #1

since sample variance is unbaised estimator of population variance and it is higher for data set X:

data set X is more likely drawn from a population with the greater variance

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