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 nadia’s data are both higher than the lower quartile and upper quartile of ben’s data. 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.

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 nadia’s data are both higher than the lower quartile and upper quartile of ben’s data. 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.

Answer

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Analyze Nadia's range

Nadia's maximum is around 96 and minimum around 76, range = 96 - 76 = 20

Step3: Analyze Ben's range

Ben's maximum is around 100 and minimum around 76, range = 100 - 76 = 24. So Ben has a larger range, first statement is false.

Step4: Compare quartiles

Nadia's lower - quartile is around 84 and upper - quartile around 92. Ben's lower - quartile is around 80 and upper - quartile around 90. So the second statement is true.

Step5: Compare medians

Nadia's median is around 88 and Ben's median is around 88. So the third statement is true.

Step6: Find highest score

Ben's highest score is 100 and Nadia's is 96. So Nadia did not have the highest score, fourth statement is false.

Step7: Compare lowest scores

Both Nadia and Ben's lowest scores are 76. So the fifth statement is true.

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.; The median of Nadia’s data is equal to the median of Ben’s data.; Ben’s lowest score was equal to Nadia’s lowest score.