test scores\nms. dobsons class\ndistrict - wide\n0 10 20 30 40 50 60 70 80 90 100 110\nwhich statement is…

test 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.\nms. dobsons class has a smaller range of scores.\nthe district has a greater interquartile range.\nfifteen is an outlier for the districts scores.\none hundred is an outlier for the districts scores.\nin general, the districts scores were better than those of ms. dobsons class.

test 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.\nms. dobsons class has a smaller range of scores.\nthe district has a greater interquartile range.\nfifteen is an outlier for the districts scores.\none hundred is an outlier for the districts scores.\nin general, the districts scores were better than those of ms. dobsons class.

Answer

Explanation:

Step1: Recall range formula

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

Step2: Recall inter - quartile range (IQR) formula

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

Step3: Recall outlier rule

Outliers are below Q1 - 1.5IQR or above Q3 + 1.5IQR. For district - wide, Q1 = 50, Q3 = 70, IQR = 20. Q1 - 1.5IQR=50 - 1.520 = 20, Q3 + 1.5IQR=70+1.520 = 100. 15 is below 20, so 15 is an outlier. 100 is not an outlier as it is equal to Q3 + 1.5*IQR.

Step4: Compare overall scores

The median of Ms. Dobson's class is around 70 and the median of district - wide is around 60. So in general, Ms. Dobson's class scores were better.

Answer:

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