Question

1. the management team of an amusement park plans new attractions based on the ages of visitors to the park. a survey collects the ages of visitors to the park on two randomly selected days. the box - and - whisker plots represent the data collected from the survey. which statement is true? a) half of the visitors on day 1 are between 12 and 28 years old, while half of the visitors on day 2 are between 16 and 20 years old. b) half of the visitors on day 1 are between 12 and 22 years old, while half of the visitors on day 2 are between 16 and 24 years old. c) half of the visitors on day 1 are between 22 and 28 years old, while half of the visitors on day 2 are between 20 and 24 years old. d) half of the visitors on day 1 are between 22 and 32 years old, while half of the visitors on day 2 are between 20 and 29 years old.

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the box represents the inter - quartile range (IQR), which contains the middle 50% of the data. The lower end of the box is the first quartile ($Q_1$) and the upper end is the third quartile ($Q_3$).

Step2: Analyze Day 1 box - and - whisker plot

For Day 1, the lower end of the box is at 22 and the upper end is at 30. This means that half of the visitors on Day 1 are between 22 and 30 years old.

Step3: Analyze Day 2 box - and - whisker plot

For Day 2, the lower end of the box is at 16 and the upper end is at 24. This means that half of the visitors on Day 2 are between 16 and 24 years old.

Answer:

C. Half of the visitors on Day 1 are between 22 and 28 years old, while half of the visitors on Day 2 are between 16 and 24 years old.