Question

the companies planet jump and just bounce run many trampoline parks around the country. the box plots show the number of trampolines at their parks. which conclusion is best supported by the box plots? just bounce has a park with 26 trampolines, but planet jump does not. for both companies, about 25% of the parks have 22 or fewer trampolines. planet jump has more parks than just bounce. for both companies, about half the parks have more than 27 trampolines.

Explanation:

Step1: Analyze the first option

A box - plot shows the distribution of data, not the exact number of a particular value. Just because the box - plot of Just Bounce has a whisker or part of the plot near 26, we can't be sure that there is a park with exactly 26 trampolines. And we can't say for sure that Planet Jump doesn't have a park with 26 trampolines from the box - plot.

Step2: Analyze the second option

In a box - plot, the first quartile ($Q_1$) represents the value below which 25% of the data lies. For Planet Jump, $Q_1\approx22$ and for Just Bounce, $Q_1\approx22$. So, for both companies, about 25% of the parks have 22 or fewer trampolines.

Step3: Analyze the third option

A box - plot does not give information about the number of data points (i.e., the number of parks). It only gives information about the distribution of the data (minimum, $Q_1$, median, $Q_2$, maximum).

Step4: Analyze the fourth option

For Planet Jump, the median ($Q_2$) is less than 27. So, less than 50% of Planet Jump's parks have more than 27 trampolines. For Just Bounce, the maximum value is 26 (from the end of the whisker), so no park of Just Bounce has more than 26 trampolines.

Answer:

For both companies, about 25% of the parks have 22 or fewer trampolines.