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?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the first quartile ($Q_1$) is at the left - hand side of the box, the median ($Q_2$) is the line inside the box, and the third quartile ($Q_3$) is at the right - hand side of 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 first quartile ($Q_1$) and 30 is the third quartile ($Q_3$).

Step3: Calculate the percentage

The inter - quartile range (IQR) contains the middle 50% of the data. The percentage of data between $Q_1$ and $Q_3$ is given by $Q_3 - Q_1$. The percentage of students who volunteered between 15 and 30 hours is 50%.

Answer:

50%