Question

the box plot shows the distribution of the scores on a science test. decide whether each statement is true or false. the range of the data set is 12. the median test score is 84.

Explanation:

Step1: Calculate the range

The range is the difference between the maximum and minimum values. From the box - plot, the minimum value is \(82\) and the maximum value is \(94\). So, the range \(R=94 - 82=12\).

Step2: Determine the median

The median is the middle value of the data set. In a box - plot, the line inside the box represents the median. Looking at the box - plot, the line inside the box is not at \(84\). The median is the value that divides the data set into two equal parts. From the box - plot, we can see that the median is greater than \(84\).

Answer:

The first statement (The range of the data set is 12) is True. The second statement (The median test score is 84) is False.