Question

the box - and - whisker plot below represents some data set. what percentage of the data values are greater than or equal to 76?

Explanation:

Step1: Recall the properties of box - and - whisker plot

In a box - and - whisker plot, the median divides the data into two halves. The right half of the box (from the median to the third quartile) and the right whisker represent \(50\%\) of the data.

Step2: Analyze the position of \(76\)

Since \(76\) is the third quartile (\(Q_3\)) of the data set. According to the properties of quartiles, \(25\%\) of the data lies between the median (\(Q_2\)) and \(Q_3\), and \(25\%\) of the data lies beyond \(Q_3\).

Answer:

\(25\%\)