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the normal distribution

Review the normal distribution for AP Statistics and try 2 free AP-style practice questions. 21 questions on this topic in AP Statistics · Unit 1 · Exploring One-Variable Data.

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Question 1

A machine fills bags of potato chips. The weights of the filled bags are approximately normally distributed with mean 16 ounces and standard deviation 0.3 ounce. Any bag that weighs less than 15.5 ounces is rejected by an automatic scale at the end of the production line. Which of the following is closest to the proportion of the filled bags that are rejected?

Question 2

A bottling plant fills bottles of spring water. The volumes are approximately normally distributed with mean 500 milliliters (mL) and standard deviation 4 mL. In the plant's quality report, each inspected bottle is listed with the z-score of its volume. One bottle is listed with a z-score of −1.75-1.75. How many milliliters of water does this bottle contain?

19 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% 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."

The normal distribution: AP Statistics Practice Questions | S&D Academy