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describing the distribution of a quantitative variable

Review describing the distribution of a quantitative variable for AP Statistics and try 2 free AP-style practice questions. 27 questions on this topic in AP Statistics · Unit 1 · Exploring One-Variable Data.

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Question 1

A city traffic engineer recorded the number of minutes each of 200 commuters spent delayed during a morning commute. The mean delay was 27.3 minutes, the median was 19.8 minutes, the first and third quartiles were 14.1 and 24.6 minutes, and the maximum recorded delay was 116 minutes. Based on these summary statistics, which of the following is the best description of the distribution's shape?

Question 2

The stemplot above shows the pulse rates, in beats per minute (bpm), of 22 adults, measured immediately after each adult finished a 10-minute walk. A pulse rate of 100 bpm or more after this walk is considered elevated. Which of the following is closest to the percent of these adults whose post-walk pulse rate was elevated?

25 more questions on this topic

Full practice for AP Statistics · Unit 1 · Exploring One-Variable Data: timed tests, step-by-step explanations for every answer, and AI grading for free-response questions.

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Answer, then see why

The price of gasoline rises 10% and the quantity demanded falls 5%. What happens to total revenue?

Not quite. The answer is B.

Why the other options are wrong

AI grading for free-response

Write your FRQ answer and get it scored point by point against the AP rubric, with the line from your answer that earned or missed each point.

Question 13 / 4 pts
Part a1 / 1 pts
Point 1: Earned
Grader confidence 94% sure

Reason: Correctly identifies demand for gasoline as inelastic.

Evidence: "The price of gasoline rises and the quantity falls only a little."

Part b2 / 3 pts
Point 1: Earned
Grader confidence 91% sure

Reason: Graph shows relatively inelastic demand.

Evidence: Draws a steep demand curve.

Point 2: Earned
Grader confidence 88% sure

Reason: Correct new equilibrium price.

Evidence: Shifts supply left, P1 → P2.

Point 3: Not earned
Grader confidence 82% sure

Reason: With inelastic demand, a price increase raises total revenue.

Evidence: "Revenue goes down."

Describing the distribution of a quantitative variable: AP Statistics Practice Questions | S&D Academy