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If a sample of 187 bowlers is taken from a population of 999 bowlers, the sample mean, \( \bar{x} \), is the mean of how many bowlers' scores?

A. Both 187 and 999
B. 999
C. Neither 187 nor 999
D. 187

Answer :

Final answer:

The sample mean (x) is the mean of the scores of bowlers within the selected sample. When a sample of 187 bowlers is taken from a total population of 999 bowlers, the sample mean represents the mean of only these 187 bowlers' scores.

Explanation:

The sample mean or 'x' is the mean of the scores of bowlers within the selected sample. In this situation, if we take a sample of 187 bowlers from a population of 999 bowlers, the sample mean is the mean of the 187 bowlers' scores. Therefore, the correct answer is d. 187.

It's important to understand the difference between a sample and a population in statistics. A population includes every member of a group while a sample is a subset of that population. So, when we calculate the mean of a sample, it relates only to the members of that sample, not the entire population.

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