2
QuizMultiple Choice

Variation in Predictions and Estimates

Question 2 • Pre-Algebra B

Why will random samples from a given population not have the same mean?

Answer
A
Sample means will vary because the data values selected for samples are not randomly chosen.
B
Sample means will vary because for each sample the same data values are selected.
C
Sample means will vary because the data values are randomly selected from different populations.
D
Sample means will vary because the data values selected for each sample will be different.

Explanation

Random samples from the same population can contain different data values. Since a sample mean is calculated from the values in that sample, different samples can have different means. This variation is called sampling variability; the samples are still randomly chosen from the same population.

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