Question

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?

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