Answer:
The range of the data, shown as a box plot, is equal to 42.
Step-by-step explanation:
Let's recall how we find the range:
The range is equal to the maximum value minus the minimum value.
Let's also recall how we read a box plot.
The box in a box plot shows the 50th percentile of the data. It also shows Q1 and Q3 as well as the median of the data.
The endpoints of the box plot show the minimum and maximum values of the data.
Now, piecing these 2 parts together, we can find the range of the data given the box plot.
Looking at the box plot, we can see that each tick mark is equal to 2 steps on the number line.
- Let's start out with finding the minimum and maximum of the given data using the box plot. We can see that our maximum value is equal to 96. We can also identify that our minimum value is equal to 54.
- Now, to find the range, we must subtract the minimum value from the maximum value. We should get an equation like this:
Range = 96 - 54.
Evaluating this, we get our final answer of 42.
∴ our best answer choice that matches the value we found is D.
Hope this helps!
