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AP Statistics - Chapter 6 Test Review

Authored by TJ Reuteman

Mathematics

9th Grade - University

CCSS covered

Used 250+ times

AP Statistics - Chapter 6 Test Review
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This quiz comprehensively covers Chapter 6 of AP Statistics, focusing on discrete and continuous random variables with particular emphasis on binomial and geometric distributions. Students need to understand fundamental concepts including the distinction between discrete and continuous random variables, expected value calculations, and the specific conditions that define binomial and geometric settings. The material requires mastery of probability distribution properties, including how transformations affect measures of center and spread, independence of random variables, and the ability to calculate probabilities using binomial and geometric formulas. Students must demonstrate proficiency in applying the BINS criteria (Binary outcomes, Independent trials, Number of trials fixed, Same probability of success) for binomial settings and recognize when geometric distributions apply. The content demands strong computational skills for expected value problems, understanding of sampling scenarios, and the ability to distinguish between different types of probability distributions based on their characteristics and applications. Created by TJ Reuteman, a Mathematics teacher in US who teaches grade 9-13. This comprehensive test review serves multiple instructional purposes, providing students with essential practice before their AP Statistics Chapter 6 examination. Teachers can utilize this quiz as a structured review session to reinforce key concepts, assign it as targeted homework to identify knowledge gaps, or implement it as a formative assessment tool to gauge student readiness for the upcoming test. The quiz effectively supports differentiated instruction by covering both conceptual understanding and computational applications, allowing students to self-assess their mastery of random variables, probability distributions, and expected value calculations. The variety of question types, from definitional to applied problem-solving, makes this resource valuable for both individual study and collaborative learning environments. This assessment aligns with Common Core Standards S-MD.A.1, S-MD.A.2, and S-MD.A.4, which address probability distributions, expected values, and decision-making using probability models.

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30 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the difference between a discrete random variable and a continuous random variable?

A discrete random variable takes all values in an interval of numbers while a continuous random variable has a fixed set of possible values with gaps between.
A discrete random variable has a fixed set of possible values with gaps between while a continuous random variable takes all values in an interval of numbers.
A discrete random variable takes only negative numbers while a continuous random variable takes both positive and negative numbers.
A discrete random variable takes both positive and negative numbers while a continuous random takes only negative numbers.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the two types of random variables

Discrete and Continuous
Binary and Non-Binary
Expected and Predicted
Positive and Negative

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A regular deck of cards has 4 aces. You are asked to pick one card from the deck. If the card you picked is an ace you win $5! However if you pick any other card, you lose $2. If you play this game many times, on average how much would you expect to win?

About $1.46
About $4.46
About -$1.46
About $3

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.B.5

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Multiplying/Dividing each value of a random variable by a number x will...
I. Multiply/Divide the mean, median, quartiles, and percentiles by number x
II. Multiply/Divide the shape of the distribution by number x
III. Multiply/Divide the range, IQR, standard deviation by |x|

I and II
I and III
II and III
I, II, and III

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The count of X successes in a binomial setting is a:

Binary outcome
Binomial probability
Binomial distribution
Binomial random variable

Tags

CCSS.HSS.MD.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

To find the mean of a binomial random variable

Multiply the probability of success times the probability of failure.
Multiply the number of trials times the probability of failure
Multiply the number of trials times the probability of success.
Multiply the number of trials times the probability of success times the probability of failure.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

To find the mean/expected value for a geometric random variable

Multiply the number of trials times the probability of success on each trial.
Divide 1 by the probability of success on each trial.
Multiply the number of trial times the probability of failure on each trial.
Divide 1 by the probability of failure on each trial.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

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