A highly selective boarding school will only admit students who place at least 2.5 2.5 standard deviations above the mean on a standardized test that has a mean of 100 100 and a standard deviation of 24 24. what is the minimum score that an applicant must make on the test to be accepted?

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Austin

Mathematics

1 December, 18:51

A highly selective boarding school will only admit students who place at least 2.5 2.5 standard deviations above the mean on a standardized test that has a mean of 100 100 and a standard deviation of 24 24. what is the minimum score that an applicant must make on the test to be accepted?

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Holly Blackburn · Answer 1

160 Since we've been given the standard deviation and that only those that are 2.5 standard deviations above the mean, the minimum score is mean + 2.5 * standard_deviation = 100 + 2.5 * 24 = 100 + 60 = 160