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AP · · Statistics

Sampling Distributions
Practice Questions

115 AP Statistics questions on Sampling Distributions, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Sampling Distributions.

Try 2 sample questions on Sampling Distributions

Question 1 · 1 mark · Difficulty 2/3

The standard deviation of the sample mean x̄ is:

  1. σ
  2. σ/√n
  3. σ·n
  4. s
Show answer & explanation
✓ Answer: Bσ/√n
SD of x̄ = σ/√n (standard error).
Question 2 · 1 mark · Difficulty 2/3

A statistic is unbiased if its sampling distribution is centered at the:

  1. sample mean
  2. true parameter
  3. median
  4. mode
Show answer & explanation
✓ Answer: Btrue parameter
Unbiased: mean of the statistic = parameter.
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20 questions · 25 min · free

AP Statistics: Sampling Distributions FAQ

Is Kramizo free for AP students preparing for Statistics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Sampling Distributions practice with other Statistics topics or even switch to a totally different AP subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Sampling Distributions questions aligned to the official AP Statistics syllabus?
Every question is written against the published AP Statistics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real AP paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from AP.
How is Sampling Distributions typically tested on AP Statistics papers?
Sampling Distributions appears across multiple question types on real AP Statistics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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