Math & Numbers

Confidence Interval Calculator

Calculate confidence intervals for a sample mean or proportion using either raw data or summary statistics

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/confidence-interval-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"intervalType":"mean","numbersInput":"48, 52, 47, 50, 53, 49, 51, 54","meanInput":"","standardDeviationInput":"","sampleSize":0,"successCount":"","trialCount":"","confidenceLevel":"0.95","precision":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/confidence-interval-calculator

Parameters

Name	Type	Required	Description
intervalType	select	No	—
numbersInput	textarea	No	—
meanInput	text	No	—
standardDeviationInput	text	No	—
sampleSize	number	No	—
successCount

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-confidence-interval-calculator": {
      "name": "confidence-interval-calculator",
      "description": "Calculate confidence intervals for a sample mean or proportion using either raw data or summary statistics",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=confidence-interval-calculator",
      "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": "confidence-interval-calculator",
    "arguments": {
  "intervalType": "mean",
  "numbersInput": "48, 52, 47, 50, 53, 49, 51, 54",
  "meanInput": "",
  "standardDeviationInput": "",
  "sampleSize": 0,
  "successCount": "",
  "trialCount": "",
  "confidenceLevel": "0.95",
  "precision": 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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