the box plots compare the exam scores of ms. dobsons class to the rest of the students who took the test in…

the box plots compare the exam scores of ms. dobsons class to the rest of the students who took the test in the district.\ntest scores\nms. dobsons class\ndistrict - wide\n0 10 20 30 40 50 60 70 80 90 100 110\nwhich statement is true about the box plots? select three options.\n□ ms. dobsons class has a smaller range of scores.\n□ the district has a greater interquartile range.\n□ fifteen is an outlier for the districts scores.\n□ one hundred is an outlier for the districts scores.

the box plots compare the exam scores of ms. dobsons class to the rest of the students who took the test in the district.\ntest scores\nms. dobsons class\ndistrict - wide\n0 10 20 30 40 50 60 70 80 90 100 110\nwhich statement is true about the box plots? select three options.\n□ ms. dobsons class has a smaller range of scores.\n□ the district has a greater interquartile range.\n□ fifteen is an outlier for the districts scores.\n□ one hundred is an outlier for the districts scores.

Answer

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum For Ms. Dobson's class, maximum is around 90 and minimum is around 50, so range is (90 - 50=40). For district - wide, maximum is around 100 and minimum is around 20, so range is (100 - 20 = 80). So Ms. Dobson's class has a smaller range of scores.

Step2: Recall inter - quartile range (IQR) formula

IQR = (Q_3-Q_1). For Ms. Dobson's class, (Q_1\approx60), (Q_3\approx80), (IQR_{class}=80 - 60=20). For district - wide, (Q_1\approx60), (Q_3\approx80), (IQR_{district}=80 - 60 = 20). So the district does not have a greater inter - quartile range.

Step3: Recall outlier rule

Outliers are values less than (Q_1-1.5\times IQR) or greater than (Q_3 + 1.5\times IQR). For district - wide, (Q_1 = 60), (Q_3=80), (IQR = 20). (Q_1-1.5\times IQR=60-1.5\times20=60 - 30=30), (Q_3 + 1.5\times IQR=80+1.5\times20=80 + 30 = 110). Since (15<30), 15 is an outlier for the district's scores. And since (100<110), 100 is not an outlier for the district's scores.

Answer:

Ms. Dobson's class has a smaller range of scores. Fifteen is an outlier for the district's scores.