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

No annotations are provided, so the description carries the full disclosure burden, and it discloses nothing: not whether the operation is a pure read, not the expected input encoding (array? comma-separated string? JSON?), not the return shape. Zero behavioral context for a computation tool.

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

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

The text is short but not concise in any useful sense — it is under-specified rather than economical, containing zero information beyond the title. Brevity here comes from omission, not from editing.

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

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

For a statistics tool with no annotations, no output schema, and a vague single-parameter schema, the description should at minimum explain the input format and what statistic is returned. Nothing is covered, leaving the agent unable to call the tool correctly.

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

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

There is one parameter ('values', string). Schema coverage is nominally 100%, but the schema's own description is the tautology 'Values to process', and the tool description adds no format guidance (delimiter, numeric range, min/max elements). The description therefore fails to compensate for an uninformative schema.

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

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

The description is a verbatim restatement of the tool name ('Range Statistic: Range Statistic') with no verb, no resource scope, and nothing that separates it from siblings like x402-range, x402-range-stat, or x402-midrange. An agent learns nothing it could not already infer from the identifier.

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

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

There is no when-to-use guidance, no statement of inputs expected, and no mention of the near-identical sibling tools (x402-range, x402-midrange, x402-midrange tools) that an agent would need to disambiguate against. Selection would be pure guesswork.

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