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Math & Numbers

Normal Distribution Plotter

Plot a normal-distribution bell curve as SVG with z-score markers, interval or tail-probability shading, and 68/95/99.7 standard-deviation bands.

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/normal-distribution-plotter' \
  -H 'Content-Type: application/json' \
  -d '{"mu":0,"sigma":1,"mode":"interval","marker":"-1.96 1.96","showBands":true,"decimals":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP
POST https://api.elysiatools.com/en/api/tools/normal-distribution-plotter

Parameters

NameTypeRequiredDescription
munumberYes—
sigmanumberYes—
modeselectYes—
markertextNo—
showBandscheckboxNo—
decimals

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json
{
  "mcpServers": {
    "elysiatools-normal-distribution-plotter": {
      "name": "normal-distribution-plotter",
      "description": "Plot a normal-distribution bell curve as SVG with z-score markers, interval or tail-probability shading, and 68/95/99.7 standard-deviation bands.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=normal-distribution-plotter",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call
{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "normal-distribution-plotter",
    "arguments": {
  "mu": 0,
  "sigma": 1,
  "mode": "interval",
  "marker": "-1.96 1.96",
  "showBands": true,
  "decimals": 4
}
  }
}
Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

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Response format

HTML result

JSON
{
  "result": "<div>Processed HTML content</div>",
  "error": "Error message (optional)",
  "message": "Notification message (optional)",
  "metadata": {
    "key": "value"
  }
}