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by io.github.9thShini
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Standard deviation calculator

standard_deviation_calculator

Mean, variance and standard deviation (both sample and population) of a list of numbers. Runs on smart-tools.xyz.

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "values": "<values>"
    },
    "name": "standard_deviation_calculator"
  }
}

Input Schema

NameRequiredDescriptionDefault
localeNoLanguage for the source_url link (default en)
valuesYesThe data set (at least 2 numbers)

Schema Changelog

Changes observed during successful MCP inspections.

  1. First observed

TDQS

B3.2/5.0
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description carries the burden. It discloses that both sample and population statistics are returned, which is useful, but it does not describe the output format, rounding behavior, or how errors are handled. The note about running on smart-tools.xyz adds little behavioral insight.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is a single concise sentence that conveys the core functionality. The second sentence about running on smart-tools.xyz is arguably unnecessary and adds no value for an AI agent, but overall the description is not bloated.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness3/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a simple calculator tool with a well-documented schema, the description adequately explains the statistical outputs, but it omits any information about the return structure or potential limitations (e.g., handling of non-numeric strings). The lack of output schema and annotations means more detail would be helpful.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

The input schema already provides 100% coverage for both parameters with clear descriptions. The tool description adds no extra semantics for 'values' or 'locale' beyond what the schema states, so the baseline score of 3 is appropriate.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states the tool computes mean, variance, and standard deviation for both sample and population, which is specific and matches the tool name. However, it does not explicitly mention an action verb like 'calculate' or distinguish itself from sibling tools beyond the resource scope.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance is provided on when to use this tool over alternatives like scientific_calculator or other statistical calculators. There is no mention of prerequisites, exclusions, or typical use cases.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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