Question

question the box-and-whisker plot below represents some data set. what percentage of the data values are less than or equal to 85?

Explanation:

Step1: Recall box - and - whisker plot concepts

In a box - and - whisker plot, the data is divided into four quartiles, each representing 25% of the data. The five - number summary consists of the minimum, the first quartile (\(Q_1\)), the median (\(Q_2\)), the third quartile (\(Q_3\)), and the maximum. The third quartile (\(Q_3\)) is the value such that 75% of the data is less than or equal to it.

Step2: Analyze the position of 85

Looking at the box - and - whisker plot, we assume that 85 is at the third quartile (\(Q_3\)) position (since the whisker on the right side extends to around 80 - 100 and 85 is within that range and in the context of quartiles, \(Q_3\) marks the point where 75% of the data is below it). So, by the definition of quartiles in a box - and - whisker plot, the percentage of data values less than or equal to \(Q_3\) (which we are assuming 85 represents here) is 75%.

Answer:

75%