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representing two categorical variables

Review representing two categorical variables for AP Statistics and try 2 free AP-style practice questions. 11 questions on this topic in AP Statistics · Unit 2 · Exploring Two-Variable Data.

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Question 1

A county government surveyed 850 adult residents and recorded whether each owned a pet and whether each owned the home in which they lived. Of the 340 residents who own a pet, 255 also own their home. Of the 510 residents who do not own a pet, 204 own their home. The conditional relative frequency of owning a home, given that a resident owns a pet, is 255/340=0.75255/340 = 0.75. Which of the following is a correct interpretation of this value?

Question 2

A car dealership reviewed records for 400 recent purchases, classifying each purchase as a new or used car and by whether the buyer financed the purchase with a loan or paid entirely in cash. The results are summarized in the table below.

Loan Cash Total
New 168 42 210
Used 76 114 190
Total 244 156 400

Based on the table, which of the following is closest to the conditional relative frequency of buyers who financed with a loan, given that they purchased a used car?

9 more questions on this topic

Full practice for AP Statistics · Unit 2 · Exploring Two-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."

Representing two categorical variables: AP Statistics Practice Questions | S&D Academy