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AP Statistics Practice Quiz: Introducing Statistics: Should I Worry About Error?

Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026

Test your understanding with short quizzes. This quiz has 7 questions to check your progress.

Question 1 of 7

According to the provided text, what is a potential cause of errors when making conclusions from statistical data?

All Questions (7)

According to the provided text, what is a potential cause of errors when making conclusions from statistical data?

A) Researcher bias

B) Calculation mistakes

C) Random variation

D) Insufficient data

Correct Answer: C

The provided content explicitly states that 'Random variation may result in errors in statistical inference.' The other options are potential sources of error in a broader sense but are not mentioned in the given text.

The possibility of making an error in statistical inference naturally leads a researcher to ask which of the following questions?

A) What is the exact value of the population parameter?

B) How can I eliminate all possible errors from my study?

C) What is the probability that my conclusion is incorrect due to chance?

D) Which software is best for analyzing my data?

Correct Answer: C

The content mentions the need to 'Identify questions suggested by probabilities of errors in statistical inference.' This directly relates to quantifying the likelihood or probability of making an error, often due to random chance.

A researcher conducts a well-designed experiment and concludes that a new teaching method is more effective than the old one. If, in reality, there is no difference between the methods, what concept best explains the researcher's incorrect conclusion?

A) An error in statistical inference resulting from random variation.

B) A failure to properly define the research question.

C) The use of an inappropriate sample for the study.

D) A mistake in the arithmetic of the data analysis.

Correct Answer: A

The content states that 'Random variation may result in errors in statistical inference.' Even in a well-designed study, the specific sample chosen might, by chance, show a difference that doesn't exist in the broader population, leading to an inferential error.

What is the relationship between 'random variation' and 'errors in statistical inference' as described in the text?

A) They are unrelated concepts in statistics.

B) Errors in statistical inference cause random variation.

C) Random variation is a potential cause of errors in statistical inference.

D) They are two terms for the exact same phenomenon.

Correct Answer: C

The text establishes a cause-and-effect relationship by stating, 'Random variation may result in errors in statistical inference,' meaning the former can lead to the latter.

The fact that statistical inference is subject to error implies that conclusions drawn from data are associated with a degree of uncertainty. This uncertainty primarily stems from which of the following sources mentioned in the text?

A) The complexity of statistical formulas

B) The inherent presence of random variation

C) The subjectivity of the person interpreting the results

D) The limitations of computational tools

Correct Answer: B

The core idea presented is that random variation is a source of potential errors in statistical inference. This inherent randomness is the fundamental reason for the uncertainty associated with statistical conclusions.

Which of the following is a direct consequence of the fact that 'random variation may result in errors in statistical inference'?

A) Statistical results should never be trusted.

B) Statisticians must consider the probability of making an error.

C) Only studies with very large samples should be conducted.

D) Graphical displays of data are more important than numerical summaries.

Correct Answer: B

Because errors can occur due to random variation, a critical step in the process is to evaluate how likely such an error is. This is what is meant by identifying 'questions suggested by probabilities of errors in statistical inference.'

A key principle of statistical inference is acknowledging the possibility of error. Based on the provided content, which question is most central to evaluating the strength of a statistical conclusion?

A) Was the data collected in an ethical manner?

B) How likely is it that the observed result is due to random variation alone?

C) Can the results be replicated by another researcher?

D) What was the sample size of the study?

Correct Answer: B

The content links 'random variation' to 'errors in statistical inference' and highlights the importance of questions related to the 'probabilities of errors'. Asking how likely it is that random variation caused the result directly addresses this core concept of quantifying the chance of making an inferential error.