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A study compared the overall college GPAs (upon graduation) of 1,000 traditional

ID: 3124963 • Letter: A

Question

A study compared the overall college GPAs (upon graduation) of 1,000 traditional students who took math their entire senior year of high school and 1,000 traditional students who did not take math during their senior year of high school The numerical summary of the data is as follows:

Students who took math during senior year:

Maximum GPA: 2.3; Q1=2.7; Median=3.0; Q3=3.5; Maxumum=4.0

Students who took no math during senior year:

Minimum GPA=1.9; Q1=2.3; Median=2.6; Q3=3.1; Maximum=3.9

Using side-by-side box plots, which state is true about the interpretation of the data?

a. It appears the students who took math as seniors in high school graduated college with higher GPAs than those who did not take math, but there is also greater spread in the GPA;s of college students who did not take math as high school seniors.

b. It appears that there is no notable difference in overall college GPAs between the two groups, but there seems to be greater spread in the data of students who took no math as high school seniors

c. It appears that sutdnts who took math as seniors in high school finished college with higher GPAs than those who did not take math their senior year of high school and there does not seem to be a difference in spread between the two groups.

d. It appears that there is no notable difference in the overall GPAs between the two groups, nor is there a notable difference in spread. No further investigatin is justified.

Thank you and please explain.

Explanation / Answer

Maximum GPA: 2.3; Q1=2.7; Median=3.0; Q3=3.5; Maxumum=4.0

Students who took no math during senior year:

Minimum GPA=1.9; Q1=2.3; Median=2.6; Q3=3.1; Maximum=3.9

a. It appears the students who took math as seniors in high school graduated college with higher GPAs than those who did not take math, but there is also greater spread in the GPA;s of college students who did not take math as high school seniors.