Confidence Interval Calculator

Calculate confidence intervals for population means using Z or T distributions

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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/confidence-interval' \
  -H 'Content-Type: application/json' \
  -d '{"csvData":"Enter your CSV data here...\n\nExample:\nSample,Measurement,Score,Temperature\n1,23.5,85.2,22.3\n2,24.1,87.8,22.8\n3,22.9,83.4,21.9\n4,24.3,89.1,23.1\n5,23.8,86.5,22.6\n6,23.2,84.7,22.2\n7,24.0,88.2,22.9\n8,23.6,85.9,22.4","confidenceLevel":"0.95","knownStdDev":"Enter known population standard deviation. Leave empty if unknown.","selectedColumns":"Comma-separated column names. Leave empty to auto-detect numeric columns.","hasHeader":true,"outputFormat":"report"}'

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

Parameters

Name	Type	Required	Description
csvData	textarea	Yes	—
confidenceLevel	select	Yes	—
knownStdDev	text	No	If the population standard deviation is known, use Z-test. Otherwise, T-test will be used with sample standard deviation.
selectedColumns	text	No	Specify which columns to analyze. If empty, all numeric columns will be automatically detected and analyzed.
hasHeader	checkbox	No	Treat first row as column headers
outputFormat	select	Yes	—

Response format

Text result

JSON

{
  "result": "Processed text content",
  "error": "Error message (optional)",
  "message": "Notification message (optional)",
  "metadata": {
    "key": "value"
  }
}

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": {
      "name": "confidence-interval",
      "description": "Calculate confidence intervals for population means using Z or T distributions",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=confidence-interval",
      "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",
    "arguments": {
  "csvData": "Enter your CSV data here...\n\nExample:\nSample,Measurement,Score,Temperature\n1,23.5,85.2,22.3\n2,24.1,87.8,22.8\n3,22.9,83.4,21.9\n4,24.3,89.1,23.1\n5,23.8,86.5,22.6\n6,23.2,84.7,22.2\n7,24.0,88.2,22.9\n8,23.6,85.9,22.4",
  "confidenceLevel": "0.95",
  "knownStdDev": "Enter known population standard deviation. Leave empty if unknown.",
  "selectedColumns": "Comma-separated column names. Leave empty to auto-detect numeric columns.",
  "hasHeader": true,
  "outputFormat": "report"
}
  }
}

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]