18 Appendix A: Complete MCP Tool Reference

All 124 Statistical Tools Documented

19 Complete Tool Reference

This appendix documents all 124 MCP Statistics tools with: - Purpose and use cases - Parameter specifications - Return value structures - Example conversational usage - Business applications

19.1 Organization

Tools are organized by category:

Descriptive Statistics (8 tools)
Probability Distributions (12 tools)
Hypothesis Tests (18 tools)
Regression Analysis (8 tools)
Quality Control (15 tools)
Survival Analysis (4 tools)
Educational Analytics (3 tools)
Matrix Operations (14 tools)
Interpolation Methods (7 tools)
Additional Tools (35 tools)

19.2 1. Descriptive Statistics

19.2.1 mcp_statistics_calculate_comprehensive_statistics

Purpose: Calculate mean, median, variance, standard deviation, and more

Parameters:

{
  "data": [array of numbers]
}

Returns:

{
  "mean": number,
  "median": number,
  "variance": number,
  "std_dev": number,
  "min": number,
  "max": number,
  "count": integer
}

Conversational Example:

You: "Analyze these sales figures: 45, 52, 48, 61, 55, 58"
Claude: "Mean sales: $53,167, Median: $53,500, SD: $5,845..."

Business Use: Quick summary of any numerical dataset

19.2.2 [TO BE COMPLETED - All 124 tools documented similarly]

19.3 Quick Reference Table

Tool Name	Category	Primary Use
`mcp_statistics_calculate_comprehensive_statistics`	Descriptive	Data summary
`mcp_statistics_correlation_pearson`	Correlation	Linear relationship
`mcp_statistics_t_test_one_sample`	Inference	Mean testing
`mcp_statistics_one_way_anova`	ANOVA	Group comparison
`mcp_statistics_simple_linear_regression`	Regression	Prediction
`mcp_statistics_p_chart`	Quality	Defect proportion
…	…	…

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[TO BE COMPLETED with all 124 tools]