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Advanced Proof

Skewness and Kurtosis: Unveiling the Shape of the Distribution's Arc

Students often conflate 'peakedness' with kurtosis. While γ2 \gamma_2 does describe the peak, it is mathematically more sensitive to the 'fatness' of the tails. A distribution can be visually flat-topped yet still exhibit high kurtosis due to the extreme prevalence of outliers.
Institutional Reference: Applied Statistics
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