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

the box - and - whisker plot below represents some data set. what percentage of the data values are between 71 and 73?

the box - and - whisker plot below represents some data set. what percentage of the data values are between 71 and 73?

Answer

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 IQR contains 50% of the data. The median divides the box into two halves, each containing 25% of the data.

Step2: Identify quartile positions

The value 71 is the median ($Q_2$) and 73 is the third quartile ($Q_3$).

Step3: Calculate the percentage

The percentage of data between the median and the third quartile is 25%.

Answer:

25%