
AP Stats 4.2 and 4.3 HW questions
Authored by Carissa Deneca
Mathematics
11th - 12th Grade
CCSS covered
Used 17+ times

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This quiz comprehensively covers two-way tables and linear regression analysis, core topics in Advanced Placement Statistics at the high school level appropriate for grades 11-12. Students demonstrate their understanding of categorical data analysis through marginal distributions, conditional distributions, and contingency tables, while also applying regression concepts including linear equations and the coefficient of determination. The questions require students to interpret data from two-way tables, calculate percentages within specific categories, distinguish between marginal and conditional distributions, and understand how averages can be misleading across different groups through Simpson's Paradox. Students must also demonstrate fluency with regression analysis by identifying proper equation format and understanding that r² represents the coefficient of determination, measuring the proportion of variance explained by the linear relationship. Created by Carissa Deneca, a Mathematics teacher in the US who teaches grades 11-12. This assessment effectively supports AP Statistics instruction by providing targeted practice on fundamental statistical concepts that students must master before advancing to more complex inferential procedures. The quiz serves excellently as homework practice, allowing students to work through real-world scenarios involving survey data, weather forecasting accuracy, and demographic analysis at their own pace. Teachers can also deploy this as a formative assessment tool to gauge student readiness before unit tests, or as a warm-up review before introducing more advanced topics in statistical inference. The questions align with AP Statistics curriculum standards focusing on exploring categorical data (AP Stats Standard 1.C) and modeling relationships in bivariate quantitative data (AP Stats Standard 1.D), providing essential practice for the types of analysis students encounter on the AP examination.
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17 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A survey explored the relationship between gender and band class. Which is a reasonable conclusion?
Tags
CCSS.8.SP.A.4
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What percentage of the days that it rained, did they forecast no rain?
Tags
CCSS.8.SP.A.4
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Of the times when the forecast called for rain, what is the percentage that it actually rained?
Tags
CCSS.8.SP.A.4
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the marginal distribution of Females.
≈ 49 %
≈ 51 %
≈ 45 %
≈ 55 %
Tags
CCSS.8.SP.A.4
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the marginal distribution of the Military dependent status .
≈ 49%
≈ 3%
≈ 96%
≈ 51%
Tags
CCSS.8.SP.A.4
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
when averages are taken across different groups, they can appear to contradict the overall averages
Simpson's Paradox
Area Principle
Frequency Distribution
Marginal Distribution
Tags
CCSS.2.MD.D.10
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What percent of females prefer sports cars? This answer is part of what distribution?
25%; conditional distribution of car type preference among people of a given gender
25%; conditional distribution of gender among people with a particular car type preference
18.8%; marginal distribution of gender
18.8%; marginal distribution of car type preference
Tags
CCSS.HSS.ID.B.5
CCSS.HSS.CP.A.4
CCSS.HSS.CP.B.6
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