Calculate Interquartile Range

statistics.interquartile_range

ProductionBounded custom (Class B)Deterministicstrictfastv1.0.0

No network

Overview

You send a numeric vector and we return the first quartile, the third quartile, and Q3 minus Q1 under the same interpolation as statistics.quantile. LINEAR_R7 is the default. This is the spread statistic, not an outlier rule, box-plot whiskers, or a robust scale (use statistics.median_absolute_deviation for MAD).

Calling quantile twice for 0.25 and 0.75 invites a method mismatch. One skill computes both under the same convention and subtracts them.

Reliability

q1 and q3 equal statistics.quantile at 0.25 and 0.75 with the same method. A constant series yields interquartileRange 0.0. SERIES_INVALID — trigger: every observation was null under OMIT, or a null arrived under REJECT; retryable: no; next: send at least one finite number. ITEM_LIMIT_EXCEEDED — trigger: more than 100000 observations; retryable: no; next: split the series.

Context footprint

One vector in, three spread figures out. A successful call costs 1 execution credit.

When to use it

When you need Q1, Q3 and their difference under one named quantile method.

When you need an arbitrary probability list, outlier labels, or MAD scale.

Scope

Note

Returns Q1, Q3 and Q3 minus Q1 under one declared quantile convention.

Non-goals

Does not flag outliers or draw box-plot whiskers
Does not apply a robust scale factor (that is statistics.median_absolute_deviation)

Properties

IdempotentRetry safeStreaming supportedFile input supportedRequires external service

Capabilities

analysismath

Cost & billing

Flat rate per invocation

MetercallsBillable onsuccessCost per call1 credit

File handling

Accepts file_refProduces file_refMax input2 MB

How we handle your data

Sensitive input, safe output

What this means

This skill may receive sensitive content, but it does not target sensitive data and returns only a structured non-sensitive result.

Squillify guarantees

Runs inside Squillify
This skill runs inside Squillify.
Payloads are not sent to an external service by this skill.
Squillify does not permanently store submitted payloads.
Telemetry records metadata only, not submitted content.
Submitted payloads are not used for training.
Submitted payloads are not reviewed by humans.
This skill does not target sensitive data.
The response does not contain submitted content.

Your responsibility

Squillify does not determine whether submitted content is sensitive. Your application is responsible for deciding what data it is allowed to submit. Your application is responsible for securing the response.

Read the Microskill Data Handling Policy

Input schema

Field	Type	Required	Description
values	array	Yes	Required 1 to 100000 finite numbers. One extra slot exists in the schema so the typed ITEM_LIMIT_EXCEEDED failure is reachable at 100001.
method	string	No	Interpolation method; omit it for LINEAR_R7.
nullPolicy	string	No	REJECT fails on any JSON null; OMIT drops nulls and reports omittedCount. Omit this field and we REJECT.

Output schema

Field	Type	Required	Description
q1	number	Yes	First quartile at probability 0.25 under the declared interpolation method.
q3	number	Yes	Third quartile at probability 0.75 under the declared interpolation method.
interquartileRange	number	Yes	Q3 minus Q1 after negative-zero canonicalization, never a second independent pass.
method	string	Yes	Applied interpolation method.
count	integer	Yes	Finite observations used.
omittedCount	integer	Yes	How many JSON null observations were dropped under OMIT; zero under REJECT.

API contract

POST /v1/execute

curl

curl -sS -X POST "$BASE/v1/execute" -H "Authorization: Bearer $KEY" -H 'Content-Type: application/json' -d '{"skillKey":"statistics.interquartile_range","input":{"values":[1,2,3,4,5,6,7,8,9,10]}}'

Integrations

TypeScript SDK

import { Squillify } from "@squillify/sdk";

const sq = new Squillify({ apiKey: process.env.SQUILLIFY_API_KEY });

const { output } = await sq.execute("statistics.interquartile_range", {"values":[1,2,3,4,5,6,7,8,9,10]});

Errors

Code	HTTP	Retryable	Description
VALIDATION_ERROR	400	No	The request payload failed schema validation.
UNAUTHORIZED	401	No	Missing or invalid API key.
SKILL_NOT_ACCESSIBLE	403	No	The API key is not granted access to this skill.
SKILL_NOT_AVAILABLE_FOR_PLAN	403	No	This skill is not included in your current plan.
PLAN_ELIGIBILITY_UNAVAILABLE	503	Yes	Plan eligibility could not be decided. Retry after backoff.
SKILL_NOT_FOUND	404	No	The requested skill or version does not exist.
TENANT_RATE_LIMITED	429	Yes	Request rate limit exceeded. Retry after backoff.
QUOTA_EXCEEDED	429	Yes	Plan quota exhausted. Retryable once the quota period resets.
EXECUTION_TIMEOUT	504	Yes	Execution exceeded the allowed time budget.
SERIES_INVALID	400	No	The request payload failed this skill's input validation.
ITEM_LIMIT_EXCEEDED	429	No	A size, quota, rate, or time limit was exceeded.

Other limits

Limit	Value
Recommended inline bytes	32 KiB

Limitations

Does not flag outliers or draw box-plot whiskers
Does not apply a robust scale factor (that is statistics.median_absolute_deviation)
An arbitrary probability list (use statistics.quantile)
Median absolute deviation around the sample median

How to call

POST /v1/execute (requires authentication)

Request bodyjson

{
  "skillKey": "statistics.interquartile_range",
  "input": {
    "values": [
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9,
      10
    ]
  }
}

Examples

Type-7 IQR of the integers one through ten

Inputjson

{
  "values": [
    1,
    2,
    3,
    4,
    5,
    6,
    7,
    8,
    9,
    10
  ]
}

Expected outputjson

{
  "interquartileRange": 4.5,
  "count": 10,
  "omittedCount": 0,
  "q1": 3.25,
  "method": "LINEAR_R7",
  "q3": 7.75
}

Tip

h25 = 2.25 and h75 = 6.75 on the 0-based order statistics

Constant series has a zero interquartile range