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AP Statistics Study Guide Trivia Quiz

Passing an Advanced Placement math test earns you college credit at most U.S. universities. How well would you do on a sample AP Statistics study guide test? Warning: statistics problems can be wordy!

A multiple-choice quiz by GBfan. Estimated time: 5 mins.

Author
GBfan

Time
5 mins

Type
Multiple Choice

Quiz #
382,586

Updated
Dec 03 21

# Qns
10

Difficulty
Average

Avg Score
6 / 10

Plays
188

One at a Time - Single Page - Timed Game

Question 1 of 10

1. The number of points scored in an NBA season for a team has the following statistics: Games played is 82, mean = 99.6, mode = 104, and median = 102. How would you describe a graph of this data? Hint

Skewed Right

Uniform Distribution

Symmetrical Distribution

Skewed Left

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Question 2 of 10

2. In a five number summary of a set of data, the second number in the summary can be described as all of the following BUT which wrong answer? Hint

25th Percentile

Median

Median of the lower half

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Question 3 of 10

3. When graphing a scatterplot of data points involving two variables, what do the letters LSRL stand for? Hint

lazy sisters ride llamas

lowest standard residual line

least squares regression line

linear stabilization reaction limit

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Question 4 of 10

4. If you're randomly calling students of a university to get the students' opinion on an increase on tuition costs, which students would you miss if you were guilty of undercoverage? Hint

Those who declared to have no opinion

All of the professors

Those who hung up on you

Those without phones

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Question 5 of 10

5. The following distribution of blood types in Brazil: O (45%), A (42%), B (10%), and AB (3%). What is the probability (within 0.1%) of choosing two random Brazilian blood donors and both having type O blood? Hint

2.5%

20.3%

need more information

45.0%

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Question 6 of 10

6. If something involves a binomial distribution, it must be able to meet four conditions. One is a fixed number of distributions. Second condition is a fixed probability of success for each trial. The third requirement is each observation falls into just one of two categories (success or fail). The fourth condition is that each observation is what? Hint

Independent

Normal

Dependant

Linear

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Question 7 of 10

7. Let's say the average teenager watches 2.5 hours of TV a day. You believe this number is much too low and want to do a hypothesis test to see if that claim can be supported. What would be the alternative hypothesis for the population mean of daily teenager TV hours be here? Hint

Teenage TV hours > 2.5 hrs

Teenage TV hours = 2.5 hours

Teenage TV hours < 2.5 hrs

Teenage TV hours = 3 hours

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Question 8 of 10

8. We want to compare if dogs run faster in the day or at night. So you run a Matched Pairs t Test where each randomly chosen dog runs the same obstacle course in the day and at night and we can compare their time to complete the course. We flip a coin to determine if their first trial is run at night or during the day. Why? Hint

Coin flips always make it feel more scientific.

Dogs will take their time the second time since they're bored.

Lucky dogs get to choose their favorite time.

Familiarity with the course may lower future trial times.

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Question 9 of 10

9. Given a two-way table with four rows and three columns, which formula is used to compute the number of Degrees of Freedom (DF) to conduct a Chi-Square Test of Association/Independence? Hint

(# of Rows) x (# of Columns)

Sum of all variables - 1

(Largest row or column) - 1

(# of Rows -1) x (# of Columns -1)

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Question 10 of 10

10. A given regression equation of 2006 adults in a chosen city is: Predicted IQ = 95 + 6(Years of College Attended). If someone attended four years of college and has an IQ of 117, what is their residual value? Hint

-2

119

404

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Quiz Answer Key and Fun Facts

Answer: Skewed Left

If the mean equals the median, the graph would be a symmetrical distribution. But we know the mean follows the tail. In this scenario, the mean is lower than the median so this graph would be skewed left.

2. In a five number summary of a set of data, the second number in the summary can be described as all of the following BUT which wrong answer?

Answer: Median

A five number summary consists of: 1)lowest value in the set, 2)Q1 or the 25th percentile, 3)Q2 or the median, 4)Q3 or the 75th percentile, and 5)the largest value in the set.

3. When graphing a scatterplot of data points involving two variables, what do the letters LSRL stand for?

Answer: least squares regression line

The least squares regression line helps identify if the data follows a linear pattern or not. From the LSRL we can compute the residual value using the formula: Residual = Observed value - Predicted LSRL value.

4. If you're randomly calling students of a university to get the students' opinion on an increase on tuition costs, which students would you miss if you were guilty of undercoverage?

Answer: Those without phones

Non-response refers to individuals who chose not to cooperate (hung up on you or refused to answer any questions). This survey was attempting to get the students' opinions so the answers given by the professors would not be applicable here. Undercoverage refers to individuals missed by your survey method. Students without a phone or with unlisted numbers in the college record could not reached by the survey method chosen.

Answer: 20.3%

When looking for multiple probabilities, you need to consider whether these are independent or dependent events. Since the population of Brazil is so large, this scenario essentially involves independent probability since choosing Person #1 does not significantly affect the second choice. P(A and B) = P(A) times P(B) so P(Type O and Type O) = .45 x .45 = .2025.

Answer: Independent

An independent observation ensures that the result of the first event has no effect on the outcome on any future observations. If events conflict or affect each other, the distribution would involve dependent probability rules.

Answer: Teenage TV hours > 2.5 hrs

The null hypothesis in this scenario is "Teenage TV Hours is less than or equal to 2.5 hours". We begin with a statement that matches the given claim. We believe that parameter given is too low so we analyze our data to see whether our sample's mean and standard deviation support or refute the null hypothesis regarding the claim of 2.5 mean TV hours for teenagers.

Answer: Familiarity with the course may lower future trial times.

The goal of a Matched Pairs t Test is to find the difference between two data sets given similar treatments. By randomizing which course is run first we can eliminate the advantage of knowing which obstacles will be part of the race. Remember if you run the course in a faster time, your registered time would be a lower number.

9. Given a two-way table with four rows and three columns, which formula is used to compute the number of Degrees of Freedom (DF) to conduct a Chi-Square Test of Association/Independence?

Answer: (# of Rows -1) x (# of Columns -1)

A Chi-Square Test of Association/Independence determines if there is a mathematically significant relationship between two categorical variables in a chosen population. An example would be do men and women both purchase the same brand of soft drinks at a restaurant? The formula to determine Degrees of Freedom is (# of Rows - 1) times (# of Columns - 1). Given a four row and three column table, we would multiple (4-1)x(3-1) to get 6 Degrees of Freedom.

The name Chi-Square is derived from the Greek letter, Chi, a symbol that looks like our English letter X.

Answer: -2

The formula for residuals is observed value minus the predicted value. In this scenario the observed IQ is 117. Their predicted IQ would be 95 + 4(6) which equals 119 if you're using the correct order of operations. So 117-119 = -2 for your residual score. This means our predicted value is two IQ points higher than it actually was.

Source: Author GBfan

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