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AP Statistics 1.7 E Compare Multiple Quantitative One Variable Summary Statistics Questions

Practise comparing independent quantitative samples through their centres and variability, while keeping group sizes and the response context in the conclusion.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • calculate and compare means or medians for independent samples, with the response stated in context
  • compare variability using an appropriate IQR or standard deviation from summaries or graphs
  • decide whether subgroup mean comparisons determine the overall result by accounting for group sizes

AP Statistics 1.7 E Compare Multiple Quantitative One Variable Summary Statistics Questions question 1

Studies have shown that foods rich in compounds known as flavonoids help lower blood pressure. Researchers conducted a study to investigate whether there was a greater reduction in blood pressure for people who consumed dark chocolate, which contains flavonoids, than people who consumed white chocolate, which does not contain flavonoids. Twenty-five healthy adults agreed to participate in the study and add 3.5 ounces of chocolate to their daily diets. Of the 25 participants, 13 were randomly assigned to the dark chocolate group and the rest were assigned to the white chocolate group. All participants had their blood pressure recorded, in millimeters of mercury (mmHg), before adding chocolate to their daily diets and again 30 days after adding chocolate to their daily diets.
The reduction in blood pressure (before minus after) for each of the participants in the two groups is shown in the dotplots below.

Figure for Question AP Statistics 1.7 E Compare Multiple Quantitative One Variable Summary Statistics Questions question 1 — AP Statistics

The researchers found the mean reduction in blood pressure for those who consumed dark chocolate is xˉdark =6.08mmHg\bar{x}_{\text {dark }}=6.08 \mathrm{mmHg} and the mean reduction in blood pressure for those who consumed white chocolate is xˉwhite =0.42mmHg\bar{x}_{\text {white }}=0.42 \mathrm{mmHg}.
Determine and compare the medians of the reduction in blood pressure for the two groups.

The researchers found the mean reduction in blood pressure for those who consumed dark chocolate is x_dark =6.08 mmHg and the mean reduction in blood pressure for those who consumed white chocolate is x_white =0.42 mmHg.

Determine and compare the medians of the reduction in blood pressure for the two groups.

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