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random sampling and data collection

Review random sampling and data collection for AP Statistics and try 2 free AP-style practice questions. 17 questions on this topic in AP Statistics · Unit 1 · Exploring One-Variable Data and Collecting Data.

9 topics174 multiple-choice8 free-response

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Question 1

A health reporter wants to estimate the proportion of adults aged 18 to 75 in her state who exercise at least three times a week. She plans to post a link to an online survey on social media and use the responses of everyone who completes it. Which of the following is the most important reason that her estimate is likely to be biased?

Question 2

A psychologist studying the mental health of college students first selects 20 universities at random, then selects 5 dormitories at random within each selected university, and finally selects 10 students at random within each selected dormitory. Which of the following best describes this sampling method?

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).

15 more questions on this topic

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.

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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."

Random sampling and data collection: AP Statistics Practice Questions | S&D Academy