Question

(round to two decimal places as needed.)
interpret the z-scores.
the best actor was □ more than 2 standard deviations above the mean, and the best supporting actor was □ less than 1 standard deviation above the mean. □ neither of their ages is/are unusual.

Explanation:

To interpret z - scores: A z - score tells us how many standard deviations an element is from the mean. If a z - score has an absolute value less than 3, the value is not considered unusual (in the context of the empirical rule for normal distributions). For the Best Actor, being more than 2 standard deviations above the mean: since 2 < 3, it's not unusual. For the Best Supporting Actor, being less than 1 standard deviation above the mean: 1 < 3, so also not unusual. So "Neither" of their ages is unusual as both z - score related deviations are within the range where values are not considered unusual.

Answer:

The Best Actor was more than 2 standard deviations above the mean, and the Best Supporting Actor was less than 1 standard deviation above the mean. Neither of their ages is/are unusual.