An economist compared annual household income, in thousands of dollars, for an independent random sample of 75 households in Region E with an independent random sample of 77 households in Region F, and displayed the results in the histograms shown below. A student claims that the mean income is higher than the median income in both regions. Is this claim reasonable based on the histograms?
comparing distributions of a quantitative variable
Review comparing distributions of a quantitative variable for AP Statistics and try 2 free AP-style practice questions. 18 questions on this topic in AP Statistics · Unit 1 · Exploring One-Variable Data.
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A survey asked a random sample of customers at two coffee shops to rate their visit on a five-point scale, with results summarized in the frequency table below.
| Rating | Shop 1 (n=60) | Shop 2 (n=60) |
|---|---|---|
| 1 | 3 | 8 |
| 2 | 7 | 12 |
| 3 | 12 | 18 |
| 4 | 20 | 15 |
| 5 | 18 | 7 |
Based on this table, which of the following best compares the two shops' distributions of ratings?
16 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% 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."