PRACTICE

AP Statistics

Attempt a question, check your answer, then follow the working.

Unit Topic Subtopic Question type Difficulty My progress

80 matching questions · Page 1 of 8

MCQ · Hard · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.1 · Model selection

A student proposes a model for distributions, sampling, and experimental design. Which statement provides the strongest physics or statistical justification?

AThe model is valid whenever a calculator produces a result.BThe model is valid because uncertainty can be ignored.Crandom assignment supports cause-and-effect conclusions; random sampling supports generalizationDThe conclusion follows because the variables have the same numerical value.

MCQ · Hard · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.10 · Principle evaluation

A classmate states: ‘random assignment supports cause-and-effect conclusions; random sampling supports generalization.’ Which response best evaluates the statement?

AIt can be tested only by memorizing a definition.BIt is useful only if the quantities, system or population, and conditions are identified.CIt is universally valid without conditions.DIt is false because scientific and statistical laws never use models.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.11 · Residual analysis

Which observation would provide the clearest evidence that a chosen model for distributions, sampling, and experimental design is inadequate?

AResiduals or deviations show a consistent pattern larger than expected uncertainty.BThe data contain units.CThe title of the graph is brief.DTwo values happen to be equal.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.12 · Scientific conclusion

What is the best final sentence in a response about distributions, sampling, and experimental design?

AThe calculation is finished, so assumptions do not matter.BTherefore, under the stated conditions, the evidence supports the result; the principal limitation is the identified uncertainty or model assumption.CTherefore the result applies to every possible system.DTherefore the answer is obvious.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.2 · Assumptions

Which response best describes what must be established before using a representative sample and a defensible comparison?

AThat every observation has zero uncertainty.BOnly that all measured values are positive.CA representative sample and a defensible comparison.DThat the graph passes through the origin regardless of theory.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.3 · Quality control

A result from a study of distributions, sampling, and experimental design conflicts with the governing model. What is the best first action?

ADelete the result without recording it.BChange the model until it agrees with every point.CCheck the measurement, assumptions, and uncertainty before deciding whether the result is anomalous.DAverage the result with zero.

MCQ · Hard · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.4 · Claim and evidence

Which explanation most clearly connects evidence to a claim about distributions, sampling, and experimental design?

AThe measured trend agrees with the predicted relationship within uncertainty, so the evidence supports the claim over the tested range.BThe largest recorded value proves the claim for every possible case.CThe claim is correct because the axes use standard units.DThe claim is correct because it is familiar.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.5 · Representations

When translating a result about distributions, sampling, and experimental design to another representation, which approach is most reliable?

AReplace the data by a single unlabeled sketch.BUse the same symbol for every quantity.CCompare center, spread, shape, and unusual features in context.DKeep the shape but remove all units and directions.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.6 · Domain

Which feature would most weaken a conclusion about distributions, sampling, and experimental design?

AAn independently calibrated instrument.BRepeated trials that agree within uncertainty.CA model derived from the relevant conservation or inference conditions.DA conclusion that extends far beyond the measured domain without justification.

MCQ · Hard · 1 pointCalculator: allowed

Unit 1 · distributions, sampling, and experimental design · 1.7 · Method comparison

Two methods are used to analyze distributions, sampling, and experimental design. Method 1 states assumptions; Method 2 reports more decimal places but no assumptions. Which judgment is best?

AMethod 2 must be better because it has more digits.BMethod 1 is more defensible because validity depends on assumptions as well as arithmetic precision.CBoth methods are automatically equivalent.DNeither method can ever be evaluated.