Review summary statistics for a quantitative variable for AP Statistics and try 2 free AP-style practice questions. 19 questions on this topic in AP Statistics · Unit 1 · Exploring One-Variable Data and Collecting Data.
A regional manager records the number of customers served on one Monday at each of the seven coffee shops in a chain, as shown in the table.
| Shop | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Customers served | 88 | 94 | 101 | 107 | 112 | 119 | 126 |
Which of the following is the interquartile range of the numbers of customers served?
An automotive analyst compiled the highway fuel efficiency, in miles per gallon, of 140 used sedans listed for sale in a metropolitan area. The distribution of fuel efficiencies is displayed in the histogram below. Consider the following statements about this distribution. I. The distribution of fuel efficiency is approximately symmetric. II. The mean fuel efficiency is greater than the median fuel efficiency. III. The median fuel efficiency lies in the 20-to-30-mile-per-gallon interval. Which of the statements is/are true?
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).
Full practice for AP Statistics · Unit 1 · Exploring One-Variable Data and Collecting Data: timed tests, step-by-step explanations for every answer, and AI grading for free-response questions.
Start practicing freeAnswer, 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.
Reason: Correctly identifies demand for gasoline as inelastic.
Evidence: "The price of gasoline rises and the quantity falls only a little."
Reason: Graph shows relatively inelastic demand.
Evidence: Draws a steep demand curve.
Reason: Correct new equilibrium price.
Evidence: Shifts supply left, P1 → P2.
Reason: With inelastic demand, a price increase raises total revenue.
Evidence: "Revenue goes down."