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. test scores ms. dobsons class district - wide which statement is true about the box plots? select three options. ms. dobsons class has a smaller range of scores. the district has a greater interquartile range. fifteen is an outlier for the districts scores. 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. test scores ms. dobsons class district - wide which statement is true about the box plots? select three options. ms. dobsons class has a smaller range of scores. the district has a greater interquartile range. fifteen is an outlier for the districts scores. one hundred is an outlier for the districts scores.

Answer

Explanation:

Step1: Calculate ranges

Range = Maximum - Minimum. For Ms. Dobson's class, assume min is around 40 and max is around 90, range is (90 - 40=50). For district - wide, assume min is around 10 and max is around 100, range is (100 - 10 = 90). So Ms. Dobson's class has a smaller range.

Step2: Calculate inter - quartile ranges

Inter - quartile range (IQR)=Q3 - Q1. For Ms. Dobson's class, assume Q1 is around 60 and Q3 is around 80, IQR is (80 - 60 = 20). For district - wide, assume Q1 is around 50 and Q3 is around 70, IQR is (70 - 50=20). So the statement about the district having a greater IQR is false.

Step3: Check for outliers

Outliers are values less than (Q1-1.5\times IQR) or greater than (Q3 + 1.5\times IQR). For district - wide, (Q1\approx50), (Q3\approx70), (IQR = 20). (Q1-1.5\times IQR=50-1.5\times20=50 - 30 = 20), (Q3 + 1.5\times IQR=70+1.5\times20=70 + 30 = 100). 15 is less than 20, so 15 is an outlier for the district's scores. 100 is not an outlier as it is equal to (Q3 + 1.5\times IQR).

Answer:

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