SAT Scores Suppose that the mathematics SAT scores for high school seniors for a specific year have a mean of 456 and a standard deviation of 100 and are approxi�mately normally distributed. If a subgroup of these high school seniors, those who are in the National Honor So�ciety, is selected, would you expect the distribution of scores to have the same mean and standard deviation

 Not necessarily, but most likely that subgroup would be different. The mean for the NHS group would be higher because the qualifications for membership include a higher than average grade-point, so they tend to be more academically inclined, and will get higher scores on the SAT.

Explanation: It is possible that this is not the case. The math test is only part of the SAT test. The NHS members may have higher overall grade-point averages, but many may be no more proficient in math than the other  college-bound seniors who took the test.

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