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PolarisHub

Math-MCP

by PolarisHub

percentile

Calculates a percentile value from a dataset using sorted linear interpolation, similar to Excel's PERCENTILE.INC.

Instructions

Calculates a percentile using sorted linear interpolation (R-7 / Excel PERCENTILE.INC method)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
numbersYes
percentileYesPercentile from 0 through 100
Behavior2/5

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

No annotations are provided, so the description carries the full burden. It discloses the interpolation method but fails to mention edge-case behaviors (e.g., handling of empty arrays, behavior at percentile=0 or 100), which are important for safe usage.

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, well-structured sentence that conveys core functionality without unnecessary words.

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?

For a simple mathematical tool with two parameters and no output schema, the description captures the essential behavior. However, it lacks details on edge cases and the fact that data is sorted internally.

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

Parameters2/5

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

Schema description coverage is 50% (only 'percentile' has a description). The tool description adds no further detail about 'numbers' parameter meaning, format, or constraints. The method notation adds context but not parameter-level semantics.

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 verb 'Calculates', the resource 'percentile', and specifies the exact method 'sorted linear interpolation (R-7 / Excel PERCENTILE.INC method)'. This distinguishes it from sibling tools like mean, median, etc.

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 provides no explicit guidance on when to use this tool versus alternatives. It only states what it does, leaving the agent to infer usage context from the tool name and siblings.

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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