Math & Numbers
Calculate the margin of error for a mean or proportion from sample size, confidence level, and variability
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/margin-of-error-calculator' \
-H 'Content-Type: application/json' \
-d '{"estimateType":"mean","standardDeviation":15,"sampleSize":100,"confidenceLevel":"0.95","populationProportion":50,"proportionScale":"percent","useTDistribution":true,"decimalPlaces":4}'Send a POST request with your inputs as JSON. File parameters require a separate upload first.
POST https://api.elysiatools.com/en/api/tools/margin-of-error-calculator| Name | Type | Required | Description |
|---|---|---|---|
| estimateType | select | No | — |
| standardDeviation | number | No | — |
| sampleSize | number | No | — |
| confidenceLevel | select | No | — |
| populationProportion | number | No | — |
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-margin-of-error-calculator": {
"name": "margin-of-error-calculator",
"description": "Calculate the margin of error for a mean or proportion from sample size, confidence level, and variability",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=margin-of-error-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "margin-of-error-calculator",
"arguments": {
"estimateType": "mean",
"standardDeviation": 15,
"sampleSize": 100,
"confidenceLevel": "0.95",
"populationProportion": 50,
"proportionScale": "percent",
"useTDistribution": true,
"decimalPlaces": 4
}
}
}Questions or issues? Contact [email protected]
| proportionScale |
| select |
| No |
| — |
| useTDistribution | checkbox | No | — |
| decimalPlaces | number | No | — |
JSON result
{
"key": {...},
"metadata": {
"key": "value"
},
"error": "Error message (optional)",
"message": "Notification message (optional)"
}