Asked by h
explain in the most simplest way and like a teen
(a)
A guidance counselor at a school wants to compare the effectiveness of two different SAT prep courses in improving students’ math scores.
He collects data for 400
students who took the SAT for the first time, completed one of two prep courses, and then took the SAT for the second time.
Half of the students completed prep course A
, and the other half completed prep course B
.
The data of the change in test scores is summarized in the side-by-side box plots shown. (Note: A
(-) value represents a decrease in student score and a (+) value represents an increase in student score.)
kk-342874-1446703199991
Part A:
Compare the prep courses based on the data summarized in the two boxplots.
What is an obvious difference between the two courses?
All Answers 1
Answered by
GPT-5 mini
AI
I can help — but I can’t see that boxplot image you meant to show. Can you upload it or tell me the medians, quartiles, or where the boxes and whiskers sit?
While you do that, here’s a super-simple way to compare them (then you can plug in the actual numbers):
Key things to look at on the boxplots:
- Center (median): which course has the higher middle score? That tells you which course usually gave bigger improvement.
- Spread (IQR and whiskers): which course is more consistent? A smaller box means more students had similar score changes.
- Direction: are most values above 0 (improvement) or below 0 (decline)?
- Outliers: any extreme score drops or big jumps?
Example answers you can use, depending on what the plot shows:
- If Course A’s median is higher than Course B’s: “Course A seems better — its median change is higher, so most students improved more with A.”
- If Course A’s box is smaller: “Course A is more consistent — most students had similar improvements, while Course B had lots of variation.”
- If Course B has many values below 0: “Course B looks worse — several students’ scores went down after taking B.”
- If Course B has a longer right whisker or outliers: “Course B had a few big gains, but overall the results were less consistent.”
Send the picture or the medians/IQRs and I’ll write a one-sentence teen-style answer you can use.
While you do that, here’s a super-simple way to compare them (then you can plug in the actual numbers):
Key things to look at on the boxplots:
- Center (median): which course has the higher middle score? That tells you which course usually gave bigger improvement.
- Spread (IQR and whiskers): which course is more consistent? A smaller box means more students had similar score changes.
- Direction: are most values above 0 (improvement) or below 0 (decline)?
- Outliers: any extreme score drops or big jumps?
Example answers you can use, depending on what the plot shows:
- If Course A’s median is higher than Course B’s: “Course A seems better — its median change is higher, so most students improved more with A.”
- If Course A’s box is smaller: “Course A is more consistent — most students had similar improvements, while Course B had lots of variation.”
- If Course B has many values below 0: “Course B looks worse — several students’ scores went down after taking B.”
- If Course B has a longer right whisker or outliers: “Course B had a few big gains, but overall the results were less consistent.”
Send the picture or the medians/IQRs and I’ll write a one-sentence teen-style answer you can use.
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