Question

the box - and - whisker plot below represents some data set. what percentage of the data values are greater than or equal to 92?

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the right - hand side of the box represents the third quartile ($Q_3$), which is the 75th percentile. The median (50th percentile) is the line inside the box, the left - hand side of the box is the first quartile ($Q_1$) or 25th percentile, and the end of the left whisker is the minimum value (0th percentile) and the end of the right whisker is the maximum value (100th percentile).

Step2: Identify the position of 92

Assume 92 is at the third - quartile position. Since 92 is at the third quartile ($Q_3$), 75% of the data values are less than or equal to 92.

Step3: Calculate the percentage of data greater than or equal to 92

We use the formula $100 - 75$.
$100 - 75=25$

Answer:

25%