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Heavier Tails

Definition

Heavier tails refer to the phenomenon where the probability of extreme events occurring in a distribution is higher than what would be expected in a normal distribution.

Analogy

Imagine you are at a party and there's a game where people throw darts at a dartboard. In a normal distribution, most darts would hit near the center, but with heavier tails, more darts would hit towards the outer edges of the board, indicating a higher likelihood of extreme scores.

Related terms

Skewness: Skewness measures the asymmetry of a distribution. A positively skewed distribution has a longer tail on the right side, while a negatively skewed distribution has a longer tail on the left side.

Kurtosis: Kurtosis measures how peaked or flat a distribution is compared to the normal distribution. Higher kurtosis indicates heavier tails and more extreme values.

Outliers: Outliers are data points that significantly deviate from other observations in a dataset. They can contribute to heavier tails in distributions.



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© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.