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Math & Statistics

Z-Score Calculator

Calculate standard scores (z-scores) to find standard deviations from the population mean.

Inputs

-10,00,00010,00,000
-10,00,00010,00,000
01,00,000

Calculation Results

Calculated Z-Score

1.5

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Formula & Mathematical Explanation

z=Xμσ\displaystyle z = \frac{X - \mu}{\sigma}

The z-score represents the number of standard deviations a data point (X) lies from the mean (μ), calculated by dividing the deviation by standard deviation (σ).

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