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

Explanation:

Step1: Understand box - and - whisker plot

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

Step2: Locate 45 on the plot

Assume that 45 is at the first quartile ($Q_1$) position.

Step3: Calculate the percentage

The first quartile divides the data set such that 25% of the data is less than or equal to $Q_1$ and 75% of the data is greater than or equal to $Q_1$. Since 45 is at $Q_1$, the percentage of data values greater than or equal to 45 is 75%.

Answer:

75%