수학

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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사용 방법
  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.

공식

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.