which statement is true about the box plots? number of incorrect questions on exams marcs class sues class 0…

which statement is true about the box plots? number of incorrect questions on exams marcs class sues class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 both the ranges and the interquartile ranges for the data sets are the same. neither the ranges nor the interquartile ranges for the data sets are the same. the interquartile ranges for the box plots are the same, but their ranges are different. the ranges for the box plots are the same, but their interquartile ranges are different.
Answer
Answer:
The interquartile ranges for the box plots are the same, but their ranges are different.
Explanation:
Step1: Calculate Marc's class range
Range = Max - Min. Max = 10, Min = 2, so range = 10 - 2 = 8.
Step2: Calculate Sue's class range
Max = 13, Min = 3, so range = 13 - 3 = 10.
Step3: Calculate Marc's class IQR
Q1 = 3, Q3 = 8, IQR = Q3 - Q1 = 8 - 3 = 5.
Step4: Calculate Sue's class IQR
Q1 = 5, Q3 = 10, IQR = Q3 - Q1 = 10 - 5 = 5. Since Marc's range is 8 and Sue's is 10 (different), and both IQRs are 5 (same).