数学

Z-Score Calculator

Calculate the z-score (standard score) and p-value from a raw data point, mean, and standard deviation.

Z-Score (Standard Score)
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P-Value (Area Under Curve)

Left Tail (X < x)
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Right Tail (X > x)
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Two-Tailed (|X| > |x|)
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使い方
  1. Enter the Raw Data Value you want to evaluate.
  2. Enter the Mean of your population.
  3. Enter the Standard Deviation of your population.
  4. The calculator will determine your Z-Score, which tells you how many standard deviations your value is from the mean. It will also calculate the P-Values (probabilities) for the normal distribution.

計算式

Z-Score Formula:
Z = (x - μ) / σ

Where:
x = Raw value
μ = Population mean
σ = Population standard deviation

A Z-Score (or standard score) indicates how many standard deviations an element is from the mean. Calculating a Z-score allows you to compare results from two different tests or populations by standardizing them onto a normal distribution curve.