Z-Score Calculator

Instructions: This statistics calculator will compute the Z-score associated with a raw score X. Please provide the information required below:

Population Mean (\(\mu\))
Population St. Dev. (\(\sigma\))
Raw Score (\(X\))

How Do You Compute a Z-Score?

More about Z-scores so you can better understand this z-scores calculators: The normal probability is a type of continuous probability distribution that can take random values on the whole real line. A random variable X that has a normal distribution with mean \(\mu\) and standard deviation \(\sigma\) can be standardized or normalized to a standard normal distribution (with mean 0 and standard deviation 1), by using the following formula:

\[ z = \frac{X-\mu}{\sigma} \]

This is exactly what this z score calculator with steps will do for you if you type the parameters in the form above.

Now, the inverse process would consist of calculating a raw score associated to a z-score, in which case you should use this calculator.

The above is referred to the z-score associated to the original X score. Another common operation you may be interested in is to compute critical z-values. Also, you may want to use our z score calculator area.

In case you have any suggestion, or if you would like to report a broken solver/calculator, please do not hesitate to contact us.

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