AP Statistics Chapter 5 Review
Authored by Sarah Newton
Mathematics
9th Grade - University
CCSS covered
Used 120+ times
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This AP Statistics Chapter 5 Review focuses on probability concepts and their applications, designed for advanced high school students in grades 11-12 taking college-level statistics. The quiz comprehensively assesses students' understanding of fundamental probability principles including the law of large numbers, independence of events, probability distributions, conditional probability, and the addition rule for probability. Students need to demonstrate mastery of calculating probabilities from two-way tables, interpreting probability models, understanding the difference between theoretical and empirical probability, and applying formulas for compound events. The questions require students to analyze real-world scenarios involving coin tosses, household vehicle ownership, and academic performance data, demanding both computational skills and conceptual understanding of when and how to apply different probability rules. Created by Sarah Newton, a Mathematics teacher in the US who teaches grades 9-13. This quiz serves as an excellent review tool for students preparing for AP Statistics assessments, providing comprehensive coverage of probability topics that form the foundation for statistical inference. Teachers can utilize this quiz for multiple instructional purposes: as a diagnostic tool to identify areas where students need additional support, as homework to reinforce classroom learning, or as a formative assessment before unit tests. The varied question formats and real-world contexts make it particularly effective for helping students connect abstract probability concepts to practical applications they might encounter on the AP exam. This assessment aligns with Common Core Standards S-CP.1, S-CP.2, S-CP.3, S-CP.4, and S-CP.6, covering sample spaces, independence, conditional probability, and the rules of probability that are essential for success in advanced statistics coursework.
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6 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Dr. Stats plans to toss a fair coin 10,000 times in the hope that it will lead him to a deeper understanding of the laws of probability. Which of the following statements is true?
It is unlikely that Dr. Stats will get more than 5000 heads.
Whenever Dr. Stats gets a string of 15 tails in a row, it becomes more likely that the next toss will be a head.
The fraction of tosses resulting in heads should be exactly ½
The chance that the 100th toss will be a head depends somewhat on the previous 99 tosses.
It is likely that Dr. Stats will get about 50% heads.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.2
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Choose an American household at random and record the number of vehicles they own. Here is the probability model if we ignore the households that own more than 5 cars:
A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold?
7%
13%
20%
45%
55%
Tags
CCSS.HSS.CP.A.1
CCSS.HSS.MD.A.1
CCSS.HSS.MD.A.3
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
One thousand students at a city high school were classified according to both GPA and whether or not they consistently skipped classes. The table summarizes the data:
What is the probability that a student has a GPA of under 2.0?
0.227
0.255
0.450
0.475
0.506
Tags
CCSS.HSS.CP.A.1
CCSS.HSS.CP.A.4
CCSS.HSS.ID.B.5
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
One thousand students at a city high school were classified according to both GPA and whether or not they consistently skipped classes. The table summarizes the data:
What is the probability that a student has a GPA under 2.0 or has skipped many classes?
0.080
0.281
0.285
0.365
0.727
Tags
CCSS.HSS.CP.A.1
CCSS.HSS.CP.A.4
CCSS.HSS.CP.B.7
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
One thousand students at a city high school were classified according to both GPA and whether or not they consistently skipped classes. The table summarizes the data:
What is the probability that a student has a GPA under 2.0 given that he or she has skipped many classes?
0.080
0.281
0.285
0.365
0.727
Tags
CCSS.HSS.CP.A.4
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.6
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Choose an American adult at random. The probability that you choose a woman is 0.52. The probability that the person you choose has never been married is 0.25. The probability that you choose a woman who has never been married is 0.11. The probability that person you choose is either a woman or has never been married (or both) is therefore about
0.77
0.66
0.44
0.38
0.13
Tags
CCSS.HSS.CP.B.7
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