Question

an amusement park attraction has a sign that indicates that a person must be at least 48 inches tall to ride the attraction. the following boxplot shows the heights of a sample of people who entered the amusement park on one day. based on the boxplot, approximately what percent of the people who entered the amusement park met the height requirement for the attraction? a 25% b 48% c 50% d 75% e 100%

Explanation:

Step1: Recall box - plot properties

A box - plot divides data into quartiles. The lower quartile (Q1) represents the 25th percentile, the median (Q2) represents the 50th percentile, and the upper quartile (Q3) represents the 75th percentile.

Step2: Identify the height requirement and box - plot values

The height requirement is 46 inches. Looking at the box - plot, the minimum value is 46 inches.

Step3: Calculate the percentage of people meeting the requirement

Since the minimum value of the data set (in terms of height) is 46 inches, all of the people in the sample have heights of at least 46 inches. So 100% of the people meet the height requirement.

Answer:

E. 100%