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