Question

The scores on a standardized test are normally distributed with a mean of 85 and standard deviation of 5. What test score is 1.2 standard deviations above the mean?

Answer 1

A test score that is 1.2 standard deviations above the mean of 85, with a standard deviation of 5, is calculated to be 91.

Step-by-step explanation:

The question asks for the test score that is 1.2 standard deviations above the mean on a standardized test where the mean score is 85 and the standard deviation is 5. To calculate this, use the formula:

Score = Mean + (Number of Standard Deviations)(Standard Deviation)

Substituting the given values in:

Score = 85 + (1.2)(5)

Score = 85 + 6

Score = 91

Therefore, a test score that is 1.2 standard deviations above the mean would be 91.