Question

after examining a child at his 2 - year checkup, the boys pediatrician said that the z - score for his height relative to other 2 - year - olds in the country was 0.75. explain to the parents what that means.
he is 0.75 inches below the mean in height for 2 - year - olds in the country.

Explanation:

The z - score is a measure of how many standard deviations an individual data point is from the mean. A z - score of 0.75 means the child's height is 0.75 standard deviations above the mean height of 2 - year - olds in the country (not inches as inches is a unit of length and z - score is in terms of standard deviations). The incorrect words in the given statement are "inches" and "below" (since z - score is 0.75 which is positive, so it should be above).

Answer:

The correct statement should be: He is 0.75 standard deviations above the mean in height for 2 - year - olds in the country.