AP Statistics MCQs
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AP Statistics practice questions by unit
Fiveable has 13,775 AP Statistics multiple-choice practice questions across 5 units, plus 339 stimulus-based question sets built around a source. Practice one unit or topic at a time.
- Unit 1 – Exploring One–Variable Data and Collecting Data: 2,279 multiple-choice questions, 75 stimulus sets
- Unit 2 – Probability, Random Variables, and Probability Distributions: 2,558 multiple-choice questions, 79 stimulus sets
- Unit 3 – Inference for Categorical Data: Proportions: 4,872 multiple-choice questions, 90 stimulus sets
- Unit 4 – Inference for Quantitative Data: Means: 3,321 multiple-choice questions, 61 stimulus sets
- Unit 5 – Regression Analysis: 745 multiple-choice questions, 34 stimulus sets
Sample AP Statistics practice question
Fiveable derived practice dataset. Values are synthetic and designed for AP Statistics exam practice.
A school compared a new review method with its standard method. The 120 participating students were first grouped by prior achievement level. Within each achievement group, students were randomly assigned to one of the two review methods. All students then took the same assessment.
| Prior achievement | Standard method n | Standard mean | New method n | New mean |
|---|---|---|---|---|
| Lower | 30 | 72.4 | 30 | 77.1 |
| Higher | 30 | 84.8 | 30 | 86.2 |
The response variable is assessment score, measured in points.
Which of the following best justifies the researchers' decision to group students by prior achievement level before randomly assigning the review methods?
To reduce variation in assessment scores attributed to prior achievement, making it easier to detect treatment differences.
To eliminate all potential confounding variables, ensuring that prior achievement cannot influence the final assessment scores.
To guarantee that the standard and new review method groups have identical distributions of prior achievement levels.
To establish a direct cause-and-effect relationship between a student's prior achievement level and their final assessment score.
Explanation
The primary purpose of a randomized block design is to reduce unexplained variability in the response variable. By grouping students by prior achievement, the researchers account for the variance in scores caused by baseline knowledge, which makes any difference caused by the review methods easier to identify.