Question

the box plot below represents some data set. approximately what percentage of the data values are less than 40?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR). The left edge of the box is the first quartile ($Q_1$), the line inside the box is the median ($Q_2$), and the right edge of the box is the third quartile ($Q_3$). The whiskers extend to the minimum and maximum values within a certain range.

Step2: Identify the position of 40

The value 40 is at the right - hand edge of the box, which is the third quartile ($Q_3$). By definition, $Q_3$ represents the 75th percentile. This means that 75% of the data values are less than or equal to $Q_3$.

Answer:

75%