Array integer median

array-integer-median · version 1.0.0 · Numbers & math · free, no key needed

Select lower and upper middle canonical integers; emit median only for odd length.

Use when you need to: array integer median · median of integer strings · middle values of an integer list.

Supported

• array integer median
• median of integer strings
• middle values of an integer list

Not supported

• average even-length arrays
• floating-point median
• percentiles
• CSV column median

Behavior

• values is a non-empty array of at most 10000 canonical integer strings (BigInt; -0 becomes 0).
• Values are sorted by numeric order ascending; equal values keep their original index order.
• n is the input length as a JSON integer.
• For odd n, lower, upper, and median are the sorted element at 0-based index (n-1)/2.
• For even n, lower is sorted[n/2 - 1], upper is sorted[n/2], and the median key is omitted (no averaging).
• lower, upper, and median (when present) are canonical integer strings.

Input

• values (array of string, required): min items 1; max items 10000; each min length 1; each max length 1001

Output

• n (integer, required): min 1; max 10000
• lower (string, required): pattern ^(0|-?[1-9][0-9]*)$
• upper (string, required): pattern ^(0|-?[1-9][0-9]*)$
• median (string, optional): pattern ^(0|-?[1-9][0-9]*)$

Limits

• max values: 10000
• max digits: 1000

Example

Request input:

{
  "values": [
    "9",
    "-1",
    "4"
  ]
}

Response:

{
  "result": {
    "n": 3,
    "lower": "4",
    "upper": "4",
    "median": "4"
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "array-integer-median",
  "version": "1.0.0",
  "input": {
    "values": [
      "9",
      "-1",
      "4"
    ]
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/array-integer-median/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"values":["9","-1","4"]}'

The machine-readable contract is at /v1/tools/array-integer-median/versions/1.0.0.

CLI

node cli.mjs run array-integer-median 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Array integer GCD: Compute the non-negative greatest common divisor of an array of canonical integer strings.
• Array integer LCM: Compute the non-negative least common multiple of an array of canonical integer strings.
• Array integer cumulative sum: Replace an array of canonical integer strings with equal-length prefix sums.
• Array integer mode: Return the most frequent canonical integers, listing every mode in first-seen order.
• Array integer product: Multiply an array of canonical integer strings and return the canonical product.
• Array rational sum: Sum an array of canonical rationals and return the reduced total.