Question

the box - and - whisker plot below represents some data set. what percentage of the data values are greater than or equal to 27?

Explanation:

Step1: Recall box - and - whisker plot properties

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 ($Q_3$). The whiskers extend to the minimum and maximum values.

Step2: Identify the position of 27

Assume that 27 is the third quartile ($Q_3$) of the data set. By the definition of quartiles, 25% of the data lies above the third quartile.

Answer:

25%