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Statistics Formulas Summary

By Dr. Iris Vaughan, Mathematics Editor·Published 20 November 2025·Last reviewed 5 March 2026

Descriptive statistics formulas — mean, median, standard deviation, z-score — plus inference formulas: standard error, confidence interval, test statistics.

Key Formulas
Mean: x̄=Σxᵢ/n
Variance: s²=Σ(xᵢ−x̄)²/(n−1)
z-score: z=(x−μ)/σ
SE: s/√n
95% CI: x̄±1.96·SE (large n)
t-stat: t=(x̄−μ₀)/(s/√n) with df=n−1

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