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

Answer:

25%

Explanation:

Step1: Identify quartile values

In a box - and - whisker 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 ($Q_3$). Here, assume the values are such that the box starts around 30, the median is around 40, and the box ends around 50. The value 52 is greater than $Q_3$.

Step2: Recall quartile property

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 values greater than $Q_3$ are in the top 25% of the data set. Since 52 > $Q_3$, 25% of the data values are greater than or equal to 52.