This ap statistics collecting data quiz asks 10 multiple-choice questions on collecting data: sampling and experiments, and each answer comes with a short explanation.
This quiz has 10 multiple-choice questions on sampling methods, bias, observational studies, experiment design and scope of inference. Choose the single best answer for each, and read each explanation to learn why the other choices are wrong.
AP StatisticsCommon Core: AP Statistics Unit 1 (2026-27)
🎯 Collecting Data: Sampling and Experiments – AP Statistics math quiz
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Question 1
A researcher splits 24 classrooms into three groups of eight neighbors, randomly picks one group, and surveys every student in those eight classrooms. Which sampling method is this? Dots are individuals; marked dots are in the sample.
AStratified sample
BSystematic sample
CSimple random sample
DCluster sample
Question 2
A school has 600 students: 300 in Grade 9, 150 in Grade 10 and 150 in Grade 11. A stratified sample of 60 is proportional to grade size. How many Grade 10 students are in the sample? Students per grade.
A20 students
B15 students
C30 students
D10 students
Question 3
A radio station asks listeners to call in and say whether the city should build a new stadium. What is the main problem with the results?
AUndercoverage bias
BNonresponse bias
CVoluntary response bias
DA sample size that is too small
Question 4
Researchers compare the GPA of 80 students who chose to join the band with 80 students who did not join. What type of study is this and what can be concluded?
AExperiment; band membership causes the GPA difference
BObservational; only an association can be shown
CExperiment; the groups are the same size
DObservational; band membership is proven to cause it
Question 5
What is the main purpose of random assignment in an experiment?
ATo balance other variables across the treatment groups on average
BTo make the sample represent the population
CTo guarantee the groups are identical
DTo remove the need for a control group
Question 6
In the diagram, what role does Group 2 play? A completely randomized design.
AA block that removes variation due to grade
BA placebo that hides the treatment
CA control group that gives a baseline for comparison
DA second factor in the experiment
Question 7
A researcher compares two diets using 20 men and 20 women, assigning diets at random within each gender. What is the purpose of splitting the participants by gender first?
ATo remove variation due to gender from the comparison
BTo replace random assignment
CTo make the experiment double-blind
DTo increase the number of treatments
Question 8
In a double-blind experiment on a new vitamin, who does not know which participants receive the vitamin?
AOnly the participants
BOnly the people measuring the response
CBoth the participants and the people measuring the response
DOnly the statistician who analyzes the data after unblinding
Question 9
The shaded cell of the table describes which kind of study? Shaded cell: random sample, no random assignment.
AAn experiment on student volunteers
BA convenience survey of mall shoppers
CAn experiment on a random sample of adults
DA survey of a random sample of voters
Question 10
Cities with higher ice cream sales also have more drownings. Which variable is most likely a confounding variable?
ABrand of ice cream sold
BColor of swimsuits
CDay of the week the data were recorded
DHot weather
🎉 Quiz complete!
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How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
Simple random, stratified, cluster and systematic samples use chance; convenience and voluntary response samples are biased.
Sources of bias include undercoverage, nonresponse and response bias such as a leading question; a bigger sample does not fix bias.
Observational studies show association; experiments with random assignment can show cause and effect.
Good experiments use comparison, random assignment, replication and blocking, and may be blind.
Random selection allows generalizing to a population; random assignment allows causal claims.
How to use this ap statistics collecting data quiz
Retake this ap statistics collecting data quiz until every answer is right, then move on to the worksheet and the test.
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AP Statistics Collecting Data: Sampling and Experiments quiz
