Question

two students compared the scores on their math tests. their results on 9 tests are shown in the box plots below. compare the box plots. which statements are true? check all that apply. ben has the smaller range of test scores. the lower quartile and upper quartile of nadias data are both higher than the lower quartile and upper quartile of bens data. the median of nadias data is equal to the median of bens data. nadia had the highest score on a test. bens lowest score was equal to nadias lowest score.

Explanation:

Step1: Analyze the range

The range is the difference between the maximum and minimum values. From the box - plots, Ben has a larger range (since the whiskers of Ben's plot are more spread out compared to Nadia's in terms of range calculation based on the scale).

Step2: Analyze quartiles

By observing the box - plots, the lower quartile (Q1) and upper quartile (Q3) of Nadia's box (the left and right edges of the box for Nadia) are higher than those of Ben's box.

Step3: Analyze the median

The median (the line inside the box) of Nadia's data is higher than Ben's.

Step4: Analyze the maximum value

Nadia's maximum (the end of the right - hand whisker) is higher than Ben's.

Step5: Analyze the minimum value

Ben's minimum (the end of the left - hand whisker) is lower than Nadia's.

Answer:

• The lower quartile and upper quartile of Nadia’s data are both higher than the lower quartile and upper quartile of Ben’s data.
• Nadia had the highest score on a test.