Empirical Rule (Leaving Cert Mathematics): Flashcards

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Empirical Rule
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Other name for Empirical Rule

68-95-99.7 Rule

Distribution type for Empirical Rule

Bell-shaped, normal distributions

% of data within μ±σ\mu \pm \sigma

Approximately 68%

% of data within μ±2σ\mu \pm 2\sigma

Approximately 95%

% of data within μ±3σ\mu \pm 3\sigma

Approximately 99.7%

What μ\mu represents

Mean of the data

What σ\sigma represents

Standard deviation

Outlier threshold in Empirical Rule

Data points beyond μ±3σ\mu \pm 3\sigma

3 applications of Empirical Rule

Quick estimation, outlier detection, prediction

Empirical Rule: 1σ, 2σ, 3σ percentages

68%, 95%, 99.7%

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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