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This calculator will compute a Z-score (i.e., a standard normal score), given an unstandardized raw value, the population mean, and the standard deviation of the population to which the unstandardized value belongs.
Please supply the necessary parameter values, and then click 'Calculate'.
The mean (average value) of the population to which the unstandardized value belongs.
Population standard deviation:
The standard deviation of the population to which the unstandardized value belongs.
The unstandardized raw value for which you want to compute a Z-score.
The following formula is involved in the calculation of Z-scores when the population mean and standard deviation are known:
Standard normal score (Z-score):
is the raw score to be standardized,
is the population mean, and
is the population standard deviation.
The following references can be used to cite this z-score calculator:
Soper, D.S. (2015). Z-score Calculator [Software]. Available from http://www.danielsoper.com/statcalc
Cohen, J., Cohen, P., West, S.G., and Aiken, L.S. (2003). Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences (3rd edition). Mahwah, NJ: Lawrence Earlbaum Associates.
The following statistics calculators are related to this z-score calculator, and may be useful for your research:
Miscellaneous Statistics Calculators
Adjusted R-square Calculator (Population R-square)
Coefficient of Variation Calculator
Normal Distribution Calculators
Confidence Interval Calculator for the Population Mean
Confidence Interval Calculator for the Population Mean (when population std dev is known)
Cumulative Area Under the Standard Normal Curve Calculator
Cumulative Distribution Function (CDF) Calculator for the Normal Distribution
Cumulative Distribution Function (CDF) Calculator for the Standard Normal Distribution
One-Tailed Area Under the Standard Normal Distribution Calculator
Probability Density Function (PDF) Calculator for the Normal Distribution
Probability Density Function (PDF) Calculator for the Standard Normal Distribution
Standard Normal Distribution Z-Score Calculator
Two-Tailed Area Under the Standard Normal Distribution Calculator
Statistics Calculators Index
now contains 104 free statistics calculators!
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