Question

the box - and - whisker plot below represents some data set. what percentage of the data values are between 6 and 13?

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the box represents the inter - quartile range (IQR). The left end of the box is \(Q_1\) (first quartile) and the right end is \(Q_3\) (third quartile). The line inside the box is \(Q_2\) (median). The whiskers extend from the minimum to \(Q_1\) and from \(Q_3\) to the maximum. The range from \(Q_1\) to \(Q_3\) contains 50% of the data.

Step2: Identify the values of \(Q_1\) and \(Q_3\)

From the box - and - whisker plot, \(Q_1 = 6\) and \(Q_3=13\) (assuming the scale is such that these are the quartile values).

Answer:

50%