All z scores greater than 0 must coincide with percentiles which are greater than 50.

Question

Quizplus · Accepted Answer

This statement is true. A z score of 0 represents the mean of the distribution, and any z score greater than 0 indicates a value above the mean. Since the area under the normal curve to the right of the mean (i.e. the area corresponding to z scores greater than 0) exceeds 50%, any z score greater than 0 must coincide with a percentile greater than 50.

All Z Scores Greater Than 0 Must Coincide with Percentiles