PRACTICE

AP Statistics

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

Unit Topic Subtopic Question type Difficulty My progress

86 matching questions · Page 1 of 9

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Applying the 1.5 × IQR rule

Applying the 1.5 × IQR rule For a distribution of commute distances, \(Q_1=4.2\) km and \(Q_3=9.0\) km. Which value is a potential high outlier by the \(1.5\times\operatorname{IQR}\) rule?

A14.9 kmB15.8 kmC16.1 kmD17.4 km

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Blocking in an experiment

Blocking in an experiment Students are assigned at random to one of two study methods. The researcher first groups students by prior achievement level and then randomly assigns students within each level to the methods. What is this design?

ACompletely randomized design with no controlBRandomized block designCCluster sampleDMatched-pairs design

MCQ · Easy · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Choosing a graph for categorical data

Choosing a graph for categorical data A school records students’ preferred lunch option: vegetarian, chicken, fish or other. Which display is most appropriate for showing the distribution of this single categorical variable?

AHistogramBBoxplotCBar chart of counts or relative frequenciesDScatterplot

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Choosing a sampling design

Choosing a sampling design A school district wants estimates of student commute methods. Each school has different proportions of boarding and day students, and the district wants every school represented. Which design is most appropriate?

ASelect one school at random and survey every student there.BRandomly sample students separately within each school.CSurvey students who volunteer at the district office.DSurvey every tenth student entering one school.

MCQ · Easy · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Classifying a variable

Classifying a variable A researcher records the number of streaming services used by each household. Which classification is correct?

ACategoricalBDiscrete quantitativeCContinuous quantitativeDOrdinal categorical

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Comparing one-variable distributions

Comparing one-variable distributions Two study apps recorded the time, in minutes, taken by users to complete the same review lesson. App | Mean | Median | Standard deviation | Q1 | Q3 A | 18.4 | 16.2 | 7.1 | 13.1 | 20.5 B | 16.9 | 16.5 | 3.2 | 14.2 | 19.0 Which statement is supported by the summary statistics?

AApp A has a higher median and less variability.BApp A has a lower median and greater variability.CApp B has a lower median and greater variability.DThe two distributions have approximately the same center and variability.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Comparing quantitative distributions

Comparing quantitative distributions Two groups’ exam scores have the same median. Group A has a larger IQR, and its scores are approximately symmetric. Which statement is best supported?

AGroup A has greater middle-half variability.BGroup A has a larger mean because its IQR is larger.CGroup B has more variability in every part of its distribution.DThe groups have identical distributions because their medians match.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Confounding in an observational study

Confounding in an observational study An observational study finds that people who drink more coffee report higher productivity. Which factor could confound this association?

AParticipants are randomly assigned coffee amounts.BSome participants work night shifts, which may affect both coffee use and productivity.CProductivity is measured using the same instrument for everyone.DThe sample includes both coffee drinkers and nondrinkers.

FRQ · Medium · 10 pointsCalculator: allowed

Unit 1 · Data Exploration and Study Design · Delivery-route performance

Delivery-route performance A company compares delivery times, in minutes, for random samples of 50 deliveries using each of two routes. Route | Mean | SD | Min | Q1 | Median | Q3 | Max A | 32.6 | 7.4 | 18 | 27 | 31 | 36 | 58 B | 34.1 | 4.8 | 23 | 31 | 34 | 37 | 45 A. Use the 1.5 × IQR rule to determine whether either route has a potential outlier. B. Compare the center and variability of the two distributions. C. The company wants a route with a median below 35 minutes and the most consistent times. Recommend a route and justify the recommendation. D. A five-minute inspection delay is added to every Route A delivery. Give the new mean and standard deviation. E. For Route B, calculate and interpret the standardized score for a 43-minute delivery.

Write your answer on paper, showing your working. Compare it with the solution and point allocation when ready.

MCQ · Medium · 1 pointCalculator: allowed

Unit 1 · Data Exploration and Study Design · Describing skew

Describing skew A distribution of household repair costs has a mean of USD 680 and a median of USD 410. Which description is most plausible?

AThe distribution is strongly left-skewed.BThe distribution is approximately symmetric.CThe distribution is right-skewed, with some unusually large costs pulling the mean upward.DThe distribution must be bimodal.