two students compared the scores on their math tests. their results on 9 tests are shown in the box plots…

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. nadia ben 76 80 84 88 92 96 100

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. nadia ben 76 80 84 88 92 96 100

Answer

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Find Nadia's range

From the box - plot, Nadia's minimum is 76 and maximum is 100. Range of Nadia's data = 100 - 76=24

Step3: Find Ben's range

Ben's minimum is 76 and maximum is 96. Range of Ben's data = 96 - 76 = 20. So Ben has the smaller range of test scores.

Step4: Check quartiles

The lower quartile of Nadia's data is around 80 and upper quartile is around 92. The lower quartile of Ben's data is around 84 and upper quartile is around 90. So the lower quartile and upper quartile of Nadia's data are not both higher than the lower quartile and upper quartile of Ben's data.

Step5: Check medians

The median of Nadia's data is around 88 and the median of Ben's data is around 88. So the median of Nadia's data is equal to the median of Ben's data.

Step6: Check highest scores

Nadia's highest score is 100 and Ben's highest score is 96. So Nadia had the highest score on a test.

Step7: Check lowest scores

Both Nadia and Ben have a lowest score of 76. So Ben's lowest score was equal to Nadia's lowest score.

Answer:

Ben has the smaller range of test scores. The median of Nadia's data is equal to the median of Ben's data. Nadia had the highest score on a test. Ben's lowest score was equal to Nadia's lowest score.