AP Statistics Flashcards: Introducing Statistics: Should I Worry About Error?
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 10 cards to help you master important concepts.
What key question does the probability of error in statistics suggest we ask?
The probability of error suggests we ask how confident we can be in our conclusion and whether our observed result could simply be due to random chance.
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What key question does the probability of error in statistics suggest we ask?
The probability of error suggests we ask how confident we can be in our conclusion and whether our observed result could simply be due to random chance.
What is the relationship between random variation and statistical inference?
Random variation introduces uncertainty into the process of statistical inference, meaning that conclusions drawn from a sample might be incorrect due to chance.
What is statistical inference?
Statistical inference is the practice of using data from a sample to draw conclusions about a larger population, a process in which random variation can cause errors.
What is an error in statistical inference?
An error in statistical inference occurs when a conclusion drawn from sample data does not accurately reflect the true characteristics of the population, often due to random variation.
Define 'random variation'.
Random variation is the natural, unpredictable fluctuation in data that occurs by chance when selecting a sample from a population.
How do statisticians address the problem of errors from random variation?
Statisticians address this by calculating the probabilities of making errors, which allows them to quantify the level of confidence in their inferences.
Why is it impossible to completely eliminate errors in statistical inference?
Because inference is based on samples, inherent random variation means there is always a chance that the sample does not perfectly represent the population, leading to potential errors.
A researcher tests a new drug and finds it is effective. What question should they ask themselves regarding statistical error?
They should ask what the probability is that this result is an error caused by random variation, rather than a true effect of the drug.
What is a primary cause of errors in statistical inference?
Random variation is a primary cause that may result in errors when making a statistical inference.
A poll suggests a candidate is leading, but they lose the election. What statistical concept could explain the poll's inaccuracy?
The poll's inaccuracy could be explained by random variation, where the specific sample of voters polled was not perfectly representative of the entire voting population, leading to an error in inference.