Question

the box plot below represents some data set. approximately what percentage of the data values are less than 60?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box is divided into two parts by the median. The left part of the box represents the lower half of the data (25% - 50% of the data depending on the position). The whiskers and the box together: The first quartile ($Q_1$) is the value such that 25% of the data is below it, and the median ($Q_2$) is the value such that 50% of the data is below it.

Step2: Analyze the position of 60

Since 60 is the median (the line inside the box). By the definition of the median in a box - plot, 50% of the data values are less than the median.

Answer:

50%