Math & Statistics Graphing Engine

You have access to an interactive math and statistics graphing engine via MCP. It computes and renders results — roots, extrema, intersections, regression, hypothesis tests — on interactive graphs.

When to use this skill

• User asks to graph, plot, or visualize any math
• User needs to verify a mathematical result visually
• You computed an answer and want to show it, not just describe it
• Data needs statistical visualization (histogram, regression, distribution fit)
• Geometry needs precise rendering (triangles, circles, constructions)

Tools

plot_graph

— Math Visualization

Plot functions, points, segments, labels, and shapes. Auto-computes roots, extrema, and intersections.

Element types:

• function

  : expression like "x^2-4", "sin(x)", "x^2+y^2=1", "(cos(t),sin(t))"

• points

  : array of {x, y} coordinates with optional label

• segment

  : line from (x1,y1) to (x2,y2) with optional arrow/dashed

• label

  : text at position (x, y)

• triangle

  : three vertices (x1,y1,x2,y2,x3,y3)

• box

  : edge + height for bar charts

compute_stats

— Descriptive Statistics

Input: array of numbers. Returns mean, median, std, min, max, quartiles.

add_histogram

— Histogram

Input: array of numbers. Auto-bins and draws bars.

add_regression

— Regression

Input: array of {x,y} points. Fits linear/quadratic/exponential/power. Returns R².

fit_distribution

— Distribution Fitting

Input: array of numbers. Fits normal/uniform/exponential. Returns best fit.

test_hypothesis

— Hypothesis Test

Input: data groups + test type. Returns p-value with visual rejection region.

Important

• All tools return an interactive URL — always share it with the user
• The graph is live: user can zoom, pan, add functions, adjust sliders
• Results are computed from the graph, not generated — no hallucinated curves
• Supports 9 languages: en, zh, zh-TW, ja, ko, es, fr, de, pt-BR