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AP Statistics Practice Quiz: Introducing Statistics: Do the Data We Collected Tell the Truth?

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

When presented with data from a study, what is the most critical initial question to ask to evaluate the trustworthiness of its conclusions?

All Questions (7)

When presented with data from a study, what is the most critical initial question to ask to evaluate the trustworthiness of its conclusions?

A) What is the average of the data?

B) How was the data collected?

C) How many variables were measured?

D) Who performed the statistical analysis?

Correct Answer: B

The provided content emphasizes that the first step in evaluating data is to identify and ask questions about the data collection methods, as this directly impacts the validity of any conclusions.

A blogger surveys their own readers to determine the most popular new smartphone. Why might the conclusions drawn from this data be considered untrustworthy?

A) The sample size is likely too small to be meaningful.

B) The data collection method was not based on chance.

C) The blogger may have made errors in their calculations.

D) Smartphones are a rapidly changing technology.

Correct Answer: B

According to the provided content, data collection methods not based on chance can lead to untrustworthy conclusions. Surveying a self-selected group like a blog's readership is a non-chance method.

Based on the provided content, which of the following is a foundational principle for ensuring that data can lead to trustworthy conclusions?

A) The data should be collected by the person who will also analyze it.

B) The data collection method should incorporate an element of chance.

C) The data should be collected from the largest possible group of people.

D) The data should be easy and inexpensive to collect.

Correct Answer: B

The content warns that methods *not* based on chance can lead to untrustworthy conclusions. By logical inference, a key principle for obtaining trustworthy conclusions is to use a method that *is* based on chance.

The primary reason to be critical of a data collection method that relies on voluntary response (e.g., an online poll) is that it...

A) is not based on a chance selection process.

B) often results in a very large dataset.

C) is too difficult for the average person to understand.

D) requires advanced software to analyze.

Correct Answer: A

The content states that data collection methods not based on chance can lead to untrustworthy conclusions. Voluntary response is a non-chance method because participants select themselves.

Which statement best synthesizes the relationship between data collection and statistical conclusions as described in the provided text?

A) If a data collection method is simple, the conclusions will also be simple.

B) The reliability of any conclusion is fundamentally dependent on the quality of the data collection method.

C) A flawed data collection method can be corrected by using advanced statistical analysis techniques.

D) Data collection methods based on chance are guaranteed to produce true conclusions.

Correct Answer: B

The provided content establishes a direct link: one must question the data collection method because non-chance methods can lead to untrustworthy conclusions. This implies that the quality of the method determines the reliability of the conclusion.

A researcher wants to understand the study habits of university students. They collect data by interviewing students who are currently in the library. This method could lead to untrustworthy conclusions because...

A) students in the library may not be representative of all students.

B) the data collection process is not randomized.

C) the researcher is asking questions directly to the students.

D) study habits are difficult to quantify.

Correct Answer: B

While option A is a likely outcome, the core statistical reason, based on the provided content, is that the method is not based on chance. Selecting students from the library is a convenience sample, which is a non-chance method.

The act of identifying and asking questions about data collection methods serves what primary purpose in a statistical investigation?

A) To ensure the calculations in the analysis are correct.

B) To find a reason to discard the data entirely.

C) To assess the potential for bias and determine the validity of the results.

D) To decide which type of graph will best display the data.

Correct Answer: C

By questioning the data collection method, a statistician can evaluate whether it was based on chance and identify potential issues that could lead to untrustworthy conclusions, thereby assessing the overall validity of the study's results.