Question

A highly selective boarding school will only admit students who place at least 2 standard deviations above the mean on a standardized test that has a mean of 3000 and a standard deviation of 26. What is the minimum score that an applicant must make on the test to be accepted

Answer 1

Answer:

  3052

Step-by-step explanation:

You want to know the score that is 2 standard deviations above the mean if the mean is 3000 and the standard deviation is 26.

2 Standard deviations

Two times the standard deviation is ...

  2×26 =  52

This number of points above 3000 is ...

  3000 +52 = 3052

The minimum score an applicant must have is 3052.

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Additional comment

The coefficient of variation is 26/3000 ≈ 0.87%. This is unusually small, suggesting a typo in the problem statement. Whatever the real numbers may be, the math is the same: multiply the standard deviation by 2 and add that to the mean.