Question

Mrs. Munson is concerned about how her daughter’s height and weight compared with those of other girls of the same age. She uses an online calculator to determine that her daughter is at the $87th$ percentile for weight and the $67th$ percentile for height. Explain to Mrs. Munson what this means.

Questions 3 and 4 relate to the following setting. The graph displays the cumulative relative frequency of the lengths of phone calls made from the mathematics department office at Gabaldon High last month.

Short answer

Mrs. Munson's daughter is $87$ percent heavier than other girls her age and $67$ percent larger than other girls her age.

Step-by-step solution

Step 1. Given

Mrs. Munson's daughter is in the $87th$ percentile for weight and the $67th$ percentile for height, according to the online calculator.

Step 2. Concept

The pth percentile of a distribution is the value with p percent of the observations less than it.

Step 3. Explanation

This indicates Mrs. Munson's daughter is $87$percent heavier than other girls her age and $67$ percent larger than other girls her age.