Question

question: 11
the box plot shows the ages of people at a movie screening. what percent of the people are between 20 and 37 years
old?
a 17%
b 25%
c 28.5%
d 50%

Explanation:

Step1: Recall the properties of a box - plot

In a box - plot, the box represents the inter - quartile range (IQR). The left end of the box is \(Q_1\) (first quartile) and the right end is \(Q_3\) (third quartile). The data between \(Q_1\) and \(Q_3\) represents \(50\%\) of the data set.

Step2: Identify the values in the box - plot

In the given box - plot, the left end of the box ( \(Q_1\)) is at \(20\) and the right end of the box (\(Q_3\)) is at \(37\).

Answer:

D. \(50\%\)