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 12 and 48?

the box - and - whisker plot below represents some data set. what percentage of the data values are between 12 and 48?

Answer

Explanation:

Step1: Identify quartile values

In a box - and - whisker plot, the left - hand side of the box is the first quartile ($Q_1$), the right - hand side of the box is the third quartile ($Q_3$), and the line inside the box is the median ($Q_2$). The minimum value is at the end of the left - hand whisker and the maximum value is at the end of the right - hand whisker. Here, assume the minimum value is 12 and $Q_3$ is 48.

Step2: Recall quartile percentage

The first quartile ($Q_1$) represents the 25th percentile, the second quartile ($Q_2$) represents the 50th percentile, and the third quartile ($Q_3$) represents the 75th percentile.

Step3: Calculate the percentage

The percentage of data between the minimum value and $Q_3$ is 75%. Since the minimum value of the data set is 12 and $Q_3 = 48$, 75% of the data values are between 12 and 48.

Answer:

75%