---
title: "Z-Score Calculator"
method: GET
path: "/api/calc/z-score-calculator"
tags: ["Math"]
---

# Z-Score Calculator

`GET /api/calc/z-score-calculator`

## Request

- Base URL: `https://calcbright.com`
- URL: `https://calcbright.com/api/calc/z-score-calculator`
- Auth: none declared

Scored 85 with a mean of 70 and SD of 10? That is z = 1.5, the 93.32nd percentile. Get z-scores, tail probabilities or the value for any percentile.

## Query parameters

- `mode` 'z' | 'x' | 'p': Calculate
- `x` number: Raw score (x)
- `pct` number: Percentile (%) Share of values below x
- `mean` number: Mean (μ)
- `sd` number: Standard deviation (σ)
- `z` number: z-score

## Response `200`

Calculation result

- CalcOutput
  - `ok` boolean
  - `tool` string
  - `name` string
  - `url` string: Open this link to see the full calculation
  - `inputs` object
  - `summary` string: Plain-text answer
  - `details` string
  - `result` object
  - `errors` object

## Other responses

- `400`: Invalid input (see errors)

---

[API](https://skmtc.dev/calcbright/apis/calcbright-calculator-api.md) · [All operations](https://skmtc.dev/calcbright/apis/calcbright-calculator-api/llms.txt) · [OpenAPI document](https://skmtc.dev/calcbright/apis/calcbright-calculator-api/revisions/f58229e56e58?raw)