Z-Score Calculator

Ever wondered how far a number is from the average? That’s exactly what a Z-Score tells you. This calculator helps you quickly find the Z-score of any value using the mean and standard deviation — no manual math needed!

How to Use the Calculator

1. Enter the raw score (X) — this is the number you want to evaluate.
2. Enter the mean (μ) of your dataset — the average value.
3. Enter the standard deviation (σ) — a measure of how spread out the data is.
4. Click “Calculate Z-Score” and instantly see how many standard deviations the value is from the mean.

Formula Used:

$$Z = \frac{X – \mu}{\sigma}$$

• Z is the Z-Score

• X is the raw score

• μ (mu) is the population mean

• σ (sigma) is the population standard deviation

Example:

Let’s say:

• Raw score (X) = 85

• Mean (μ) = 75

• Standard Deviation (σ) = 5

Then:

$$Z = \frac{85 – 75}{5} = \frac{10}{5} = 2.00$$

Result: The Z-score is 2.00, which means the value 85 is 2 standard deviations above the mean.