Question

the box - and - whisker plot below represents some data set. what percentage of the data values are greater than or equal to 17?

Explanation:

Step1: Identify quartile positions

In a box - and - whisker plot, the box represents the inter - quartile range (IQR). The left - hand side of the box is the first quartile ($Q_1$), the line inside the box is the median ($Q_2$), and the right - hand side of the box is the third quartile ($Q_3$). The values at the ends of the whiskers are the minimum and maximum values of the data set (excluding outliers). Here, 17 is the first quartile ($Q_1$).

Step2: Calculate the percentage

The first quartile ($Q_1$) divides the data set such that 25% of the data values are less than or equal to $Q_1$. So, the percentage of data values that are greater than or equal to $Q_1$ is $100 - 25=75\%$.

Answer:

75%