Question

The following exercise refers to scores on standardized exams with results that are normally distributed. Round your answer to one decimal place. Suppose you have a score that puts you 1.2 standard deviations below the mean. What is your percentile score?

A) 11.1%
B) 23.9%
C) 88.9%
D) 96.1%

Answer 1

A score of 1.2 standard deviations below the mean corresponds approximately to the 11th percentile, which in the given options is closest to A) 11.1%.

Step-by-step explanation:

To determine your percentile score when you have a score that is 1.2 standard deviations below the mean in a normally distributed set of scores, you would use a z-score table or a calculator that provides percentile rankings for z-scores. A z-score represents the number of deviations you are away from the mean.

A z-score of -1.2 corresponds approximately to the 11.5th percentile, but since we must choose the closest option from A) 11.1%, B) 23.9%, C) 88.9%, D) 96.1%, the correct answer is A) 11.1%. This means that if you score 1.2 deviations below the mean, about 11.1% of the test takers scored the same or lower than you.