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?
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 and Collecting Data.
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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?
Sample free-response question
A courier company recorded the delivery times, in minutes, for 10 randomly selected deliveries on each of two routes.
| Route | Delivery times (minutes) |
|---|---|
| North | 12, 15, 15, 16, 18, 19, 21, 22, 24, 38 |
| South | 14, 16, 17, 17, 18, 18, 19, 20, 20, 21 |
(a) Calculate the median delivery time for each route. Show your work.
(b) Is the North delivery time of 38 minutes an outlier? Justify your answer using the 1.5 x IQR rule. The North quartiles are Q1 = 15 and Q3 = 22.
(c) Compare the distributions of delivery times for the two routes. Address center and variability, in context.
(d) The company wants deliveries that rarely take a long time. Which route should it choose? Explain using the comparisons in part (c).
25 more questions on this topic
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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% sureReason: 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% sureReason: Graph shows relatively inelastic demand.
Evidence: Draws a steep demand curve.
Point 2: Earned
Grader confidence 88% sureReason: Correct new equilibrium price.
Evidence: Shifts supply left, P1 → P2.
Point 3: Not earned
Grader confidence 82% sureReason: With inelastic demand, a price increase raises total revenue.
Evidence: "Revenue goes down."