AP Statistics Flashcards: Introducing Statistics: Random and Non-Random Patterns?
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.
A quality control check finds 5 defective items in a row. Does this pattern prove the manufacturing machine is broken?
Not necessarily. While this pattern suggests asking if the machine is broken, it could also be a cluster that occurred by random chance.
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A quality control check finds 5 defective items in a row. Does this pattern prove the manufacturing machine is broken?
Not necessarily. While this pattern suggests asking if the machine is broken, it could also be a cluster that occurred by random chance.
Does the existence of a pattern in a dataset definitively prove that the variation is non-random?
No, patterns in data do not necessarily mean that the variation is non-random, as apparent patterns can emerge from purely random processes.
What is the initial step when analyzing a new dataset, based on the provided content?
The initial step is to observe the data for any patterns and then identify questions that these patterns might suggest for further investigation.
What is the relationship between identifying patterns and forming statistical questions?
Identifying patterns in data is the process that directly leads to the formation of statistical questions about the potential causes of those patterns.
If a student gets A's on three consecutive tests, what statistical question does this pattern suggest?
This pattern suggests the question of whether the consistent high scores are due to a non-random factor (like effective studying) or simply random variation in performance.
What is the critical distinction a statistician must make when observing a pattern?
A statistician must distinguish whether an observed pattern is the result of a meaningful, non-random cause or if it could simply be the product of random chance.
Define 'random variation'.
Random variation is the fluctuation in data that occurs due to chance and cannot be attributed to a specific, underlying cause.
What is meant by a 'pattern in data'?
A pattern in data refers to a noticeable regularity, trend, or structure within a set of observations that might suggest an underlying relationship.
Data shows that a company's sales have increased slightly every December for the past three years. What question does this suggest?
This pattern suggests the question of whether there is a non-random seasonal effect (like holiday shopping) causing the increase, or if it's just random fluctuation.
Why is it a mistake to assume every pattern has a non-random cause?
Assuming every pattern has a non-random cause can lead to incorrect conclusions, as one might assign significance to what is merely a coincidence arising from random variation.