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danielsimonjr

Math MCP Server

statistics

Calculate mean, median, mode, standard deviation, variance, min, max, sum, and product from a data array in JSON format.

Instructions

Calculate statistical values like mean, median, mode (returns array), std (standard deviation), variance, min, max, sum, product.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
dataYesData array in JSON format (e.g., '[1, 2, 3, 4, 5]')
operationYesStatistical operation to perform. Note: mode returns an array (single mode: [value], multiple modes: [value1, value2])
Behavior2/5

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

With no annotations, the description bears the full burden of behavioral disclosure. It only notes that mode returns an array, which is already stated in the schema's operation description. It does not clarify return types for other operations, error handling, or edge cases like empty data, so transparency is limited.

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

Conciseness5/5

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

The description is a single, efficient sentence that clearly lists the operation names. It is front-loaded with the verb 'Calculate' and leaves no unnecessary words. Every part of the sentence contributes to understanding the tool's purpose.

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

Completeness4/5

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

Given the tool's simplicity (2 parameters, enum, no output schema), the description is mostly complete. It lists all supported operations and highlights mode's array return. However, it could mention that other operations return numeric values or that data must be a JSON array string, but the schema covers the latter, so the overall context is adequate.

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?

Schema description coverage is 100%, so the baseline is 3. The description does not add significant meaning beyond the schema; it lists operation names that are already in the enum and does not elaborate on the data format beyond what the schema states. Thus it provides no extra value.

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

Purpose5/5

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

The description clearly states the tool calculates statistical values and enumerates the specific operations (mean, median, mode, etc.), which is a specific verb+resource. It distinguishes itself from sibling tools like evaluate, simplify, and derivative, which handle other types of math operations.

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

Usage Guidelines3/5

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

The description implies usage for statistical calculations by listing supported operations, but it does not explicitly state when to use this tool over alternatives or provide exclusions. No sibling alternatives are mentioned, so guidance is implied rather than explicit.

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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