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  1. Sampling Distributions and Inferential Statistics. Standardized test statistic: statistic − parameter standard error of the statistic. Confidence interval: statistic ± ( critical value )( standard error of statistic ) Chi-square statistic: 2 ∑ ( observed − expected ) 2. χ = expected III.

  2. Download free-response questions from past AP Statistics exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions.

  3. See how students performed on each AP Exam for the exams administered in 2023. PDF. 4.42 KB. 2024 AP score distribution tables show the percentages of 1s, 2s, 3s, 4s, and 5s for each AP subject for all AP students.

  4. The exam covers the following course content categories: Exploring One-Variable Data: 15%‒23% of test questions. Exploring Two-Variable Data: 5%‒7% of test questions. Collecting Data: 12%‒15% of test questions. Probability, Random Variables, and Probability Distributions: 10%‒20% of test questions.

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    • Part (c):
    • 3 Substantial Response
    • 2 Developing Response
    • 1 Minimal Response
    • 3 Substantial Response
    • 2 Developing Response
    • 1 Minimal Response
    • 3 Substantial Response
    • 2 Developing Response
    • 1 Minimal Response
    • Intent of Question:
    • 3 Substantial Response
    • 2 Developing Response
    • 1 Minimal Response
    • 3 Substantial Response
    • 2 Developing Response
    • 1 Minimal Response
    • Part (a):

    The histogram clearly shows the bimodal nature of the distribution of room sizes, but this is not apparent in the boxplot.

    Two sections essentially correct and one section partially correct

    Two sections essentially correct and no sections partially correct OR One section essentially correct and one or two sections partially correct OR Three sections partially correct

    One section essentially correct OR No sections essentially correct and two sections partially correct

    Two parts essentially correct and one part partially correct

    Two parts essentially correct and no parts partially correct OR One part essentially correct and one or two parts partially correct OR Three parts partially correct

    One part essentially correct OR No parts essentially correct and two parts partially correct

    Two parts essentially correct and one part partially correct

    Two parts essentially correct and no parts partially correct OR One part essentially correct and one or two parts partially correct OR Three parts partially correct

    One part essentially correct OR No parts essentially correct and two parts partially correct

    The primary goals of this question were to assess a student’s ability to perform an appropriate hypothesis test to address a particular question. More specific goals were to assess students’ ability to state appropriate hypotheses, identify the appropriate statistical test procedure, check appropriate assumptions/conditions for inference; calculate...

    Two sections essentially correct and one section partially correct

    Two sections essentially correct and no sections partially correct OR One section essentially correct and one or two sections partially correct OR Three sections partially correct

    One section essentially correct OR No section essentially correct and two sections partially correct

    Two parts essentially correct and one part partially correct

    Two parts essentially correct and no parts partially correct OR One part essentially correct and one or two parts partially correct OR Three parts partially correct

    One part essentially correct OR No parts essentially correct and two parts partially correct

    Because random sampling was used, the results of the sample may be generalized to the population of rental prices for one-bedroom apartments in the city that are listed on this particular website at the time the sample was taken.

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  5. May 26, 2019 · Section II: Probability and Distributions. Most of the formulas in this section have been arranged in a table. The formulas for binomial and geometric probability in the new formula sheet use P(X=x) instead of P(X=k) and replace all instances of k with x.

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  7. Sample Question. AP® STATISTICS. Note: This is an example of 2020 Question 2, a multi-focus free-response item with allotted time of 15 minutes (plus 5 minutes to submit). Question 1 is a longer multi-focus free-response item, with allotted time of 25 minutes (plus 5 minutes to submit). Question 2.