Statistics trivia

8 statistics trivia questions, from easy to hard. Tap a question to see the answer. They're real questions from Rubicon, where you type the answer yourself and an AI judge reads what you meant.

This set covers Bayesian Inference & Conditional Probability, Combinatorics & Counting, Correlation vs Causation, Data, Charts & Visualization, Distributions & Averages, Game Theory Basics, Odds & Chance and Paradoxes of Probability.

Questions and answers

  1. Easy How does a weather app adjust its rain percentage throughout the day?

    It recalculates probabilities by combining initial projections with new radar signals.

  2. Easy Why do the available choices decrease with each position filled when arranging distinct objects?

    Each object placed reduces the pool of available items, leading to fewer options for subsequent positions.

  3. Easy Why does a rooster crowing before dawn fail to prove it causes sunrise?

    The rooster reacts to time or light, while Earth's rotation independently brings the dawn.

  4. Medium In a right-skewed income distribution, which measure of central tendency is pulled farthest toward the high values?

    The mean gets pulled farthest toward high values because calculating the arithmetic average directly incorporates every extreme figure.

  5. Medium Why does thinking backward through future moves cause a rational player to stop the centipede game early?

    Each player anticipates the opponent's inevitable defection, choosing to take the larger share first.

  6. Medium In standard five-card poker, which sequence ranks these hands correctly from rarest to most common?

    A full house is the rarest among them, followed by a flush, while two pair is the most common.

  7. Hard What fundamental principle of modern data analysis was statistician Francis Anscombe aiming to prove by constructing these four bizarre datasets?

    He demonstrated that researchers must always visualize raw distributions because standard numerical summaries fail to convey real structural relationships.

  8. Hard In the Sleeping Beauty thought experiment, why do thinkers known as 'thirders' argue that her credence in a tossed coin showing heads should be one third?

    Tails generates twice as many distinct awakenings as heads, making any individual waking experience twice as likely to come from tails.

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