statistical-analysis

Instructions for statistical analysis, such as summarising data, finding trends and unusual values, testing hypotheses, and interpreting results.

In plain words
What is it for?
Use it to calculate descriptive statistics, analyse trends, detect anomalies, test significance, and examine correlations.
Why use it?
It helps choose suitable statistical measures and avoid misleading conclusions from skewed data or outliers.

Skill for Claude CodeCodex

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

agentmods
npx agentmods add skills/fergupa/claude_plugins/statistical-analysis
Any agent
npx skills add fergupa/claude_plugins --skill statistical-analysis
Clone the repo
git clone --depth 1 https://github.com/fergupa/claude_plugins

Made for: Claude Code, Codex.

Per session 42 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 2,441 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. Scan, not verified.
Origin 97% copy Near-identical to another mod in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5 $0.00042 $0.02441
Opus 5 $0.00021 $0.01221
Sonnet 5 $0.00008 $0.00488
Haiku 4.5 $0.00004 $0.00244

Measured 2d ago against content hash bc3ba97bd777, method: parsed. Prices are Anthropic first-party input rates as of 2026-08-30, from the pricing page.

Security

Grade A, and why

statistical-analysis scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 2d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

Origin

This is a copy

97% identical to statistical-analysis — 1 line differ, which has more behind it and is treated as the original. This page carries a canonical link to it rather than competing with it.

data/skills/statistical-analysis/SKILL.md · 245 lines

How it starts

The opening of the file, as written. The whole thing — 245 lines — stays where its author put it; the contents beside it link to each section on GitHub.

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.

Spread and Variability

  • Standard deviation: How far values typically fall from the mean. Use with normally distributed data.
  • Interquartile range (IQR): Distance from p25 to p75. Robust to outliers. Use with skewed data.
  • Coefficient of variation (CV): StdDev / Mean. Use to compare variability across metrics with different scales.
  • Range: Max minus min. Sensitive to outliers but gives a quick sense of data extent.

Percentiles for Business Context

Report key percentiles to tell a richer story than mean alone:

p1:   Bottom 1% (floor / minimum typical value)
p5:   Low end of normal range
p25:  First quartile
p50:  Median (typical user)
p75:  Third quartile
p90:  Top 10% / power users
p95:  High end of normal range
p99:  Top 1% / extreme users

Example narrative: "The median session duration is 4.2 minutes, but the top 10% of users spend over 22 minutes per session, pulling the mean up to 7.8 minutes."

Describing Distributions

Characterize every numeric distribution you analyze:

  • Shape: Normal, right-skewed, left-skewed, bimodal, uniform, heavy-tailed
  • Center: Mean and median (and the gap between them)
  • Spread: Standard deviation or IQR
  • Outliers: How many and how extreme
  • Bounds: Is there a natural floor (zero) or ceiling (100%)?

Read the full file on GitHub · 245 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 2d ago First seen · 245 lines · 42 tokens per session scan A bc3ba97bd777

Subscribe to this mod's changes

statistical-analysis is a skill published in the GitHub repository fergupa/claude_plugins (2 stars, last pushed 6mo ago), licensed Apache-2.0. It adds 42 tokens to every session and 2,441 once invoked, about $0.0002 per session on Opus 5. A static security scan graded it A with 0 findings. It is 97% identical to statistical-analysis, differing in 1 line, and is treated as a copy.

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