the box plot below represents some data set. approximately what percentage of the data values are greater…

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. Here, 56 is at the right - hand edge of the box, which is $Q_3$.

Step2: Use quartile percentage relationship

The first quartile ($Q_1$) represents the 25th percentile, the median ($Q_2$) represents the 50th percentile, and the third quartile ($Q_3$) represents the 75th percentile. The percentage of data values greater than $Q_3$ is $100 - 75=25%$.

Answer:

25%