happytails.ai

Z-score calculator

Open Z-score calculator on Happytails.ai. This view has the same page content and links, with explicit tool capabilities. Read the processing notes before using a tool.

Tool capabilities

{
  "id": "z-score-calculator",
  "category": "calculators",
  "built": true,
  "requirements": "The formula is (value minus mean) divided by standard deviation. Standard deviation must be positive. Inputs are limited to magnitude 1 trillion. The result describes standardized distance, not a probability; no normal-distribution assumption is applied.",
  "implementation": {
    "fields": [
      {
        "key": "value",
        "label": "Observed value",
        "value": 115,
        "type": "number",
        "step": "any"
      },
      {
        "key": "mean",
        "label": "Mean",
        "value": 100,
        "type": "number",
        "step": "any"
      },
      {
        "key": "deviation",
        "label": "Standard deviation",
        "value": 15,
        "type": "number",
        "step": "any",
        "min": 0
      }
    ],
    "input": false,
    "live": true,
    "presentation": "metrics",
    "note": "Z-score = (observed value - mean) / standard deviation. Supply the mean and standard deviation for the same dataset. A z-score measures distance in standard deviations; it does not establish a probability or assume a normal distribution. Values are limited to magnitude 1 trillion.",
    "experience": {
      "automatic": true,
      "single": false,
      "inputMaxLength": 1000000,
      "inputMode": "text",
      "label": "Your text",
      "placeholder": "Type or paste your input…",
      "help": "Change the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.",
      "helpParts": [
        "Change the input or settings to update your result.",
        "Results update as you type.",
        "Up to 1,000,000 characters."
      ],
      "action": null
    },
    "mode": "automatic",
    "interactive": false
  },
  "execution": "Browser interface",
  "api": null,
  "browser_agent": {
    "supported": true,
    "name": "run_current_tool",
    "discovery": "WebMCP on the human page in a supporting browser",
    "verification": "See audit/API-AUDIT.md; availability is not verification"
  }
}

Page guide

See how many standard deviations a value sits above or below the mean.

How to use Z-score calculator
  1. Enter the observed value, the dataset mean and its standard deviation. A positive score is above the mean, a negative score is below it and zero is exactly at the mean.
  2. An observed value of 115, a mean of 100 and a standard deviation of 15 give a z-score of 1. The observation is one standard deviation above the mean.

Useful next steps

AverageStandard deviationWeighted average calculator

Compare a value with its dataset

Enter the observed value, the dataset mean and its standard deviation. A positive score is above the mean, a negative score is below it and zero is exactly at the mean.

Try a small example

An observed value of 115, a mean of 100 and a standard deviation of 15 give a z-score of 1. The observation is one standard deviation above the mean.

What to know

The formula is (value minus mean) divided by standard deviation. Standard deviation must be positive. Inputs are limited to magnitude 1 trillion. The result describes standardized distance, not a probability; no normal-distribution assumption is applied.