skills/smithery.ai/statistical-analysis

statistical-analysis

SKILL.md

Statistical Analysis Skill

Descriptive statistics, trend analysis, outlier detection, hypothesis testing, and guidance on when to be cautious about statistical claims.

Descriptive Statistics Methodology

Central Tendency

Choose the right measure of center based on the data:

Situation Use Why
Symmetric distribution, no outliers Mean Most efficient estimator
Skewed distribution Median Robust to outliers
Categorical or ordinal data Mode Only option for non-numeric
Highly skewed with outliers (e.g., revenue per user) Median + mean Report both; the gap shows skew

Always report mean and median together for business metrics. If they diverge significantly, the data is skewed and the mean alone is misleading.

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Mar 6, 2026