Question

students at javis school perform community service hours by volunteering at nursing homes, hospitals, and other places in their community. the box plot shows the number of hours each student volunteered. at least what percent of the students volunteered between 15 and 30 hours? 25% 75% 50% 100%

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR). The lower quartile ($Q_1$) is at the left - hand side of the box and the upper quartile ($Q_3$) is at the right - hand side of the box. The median is the line inside the box. The minimum value is the end of the left whisker and the maximum value is the end of the right whisker.

Step2: Identify quartile values

The value 15 is the lower quartile ($Q_1$) and 30 is the upper quartile ($Q_3$).

Step3: Calculate the percentage of data in IQR

The inter - quartile range contains 50% of the data. That is, the percentage of data between $Q_1$ and $Q_3$ is 50%.

Answer:

50%