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 lowest scores

Ben's lowest score is lower than Nadia's. So "Ben's lowest score was equal to Nadia's lowest score" is false.

Step2: Analyze highest scores

Nadia's highest score is higher than Ben's. So "Nadia had the highest score on a test" is true.

Step3: Analyze medians

The median of Nadia's data is lower than Ben's median. So "The median of Nadia's data is equal to the median of Ben's data" is false.

Step4: Analyze upper - quartiles

Ben's upper - quartile is higher than Nadia's upper - quartile. So "The upper quartile of Ben's data are both higher than the lower quartile and upper quartile of Nadia's data" is true.

Step5: Analyze ranges

Ben's range (difference between highest and lowest values) is smaller than Nadia's. So "Ben has the smaller range of test scores" is true.

Answer:

Nadia had the highest score on a test.
The upper quartile of Ben's data are both higher than the lower quartile and upper quartile of Nadia's data.
Ben has the smaller range of test scores.