SOLUTION: A sample of 10 was chosen from a population. The sample has a variance of 0. Which of the following are true? I. The data values in the sample are equal. II. The data values in t

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Question 577962: A sample of 10 was chosen from a population. The sample has a variance of 0. Which of the following are true?
I. The data values in the sample are equal.
II. The data values in the population are equal.
III. The distribution is symmetrical.
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Choice I is true because a sample variance of 0 means that there is no variation or change in the values in the sample.

Choice II is not necessarily true because this sample may or may not accurately reflect/represent the overall population.

Choice III is true because the distribution is symmetrical about the equal data value.