You can use this Z-Score Calculator to calculate the standard normal score (z-score) based on the raw score value, the population mean, and the standard deviation of the population.
How to use the calculator
- Enter the raw score value
- Enter the mean, standard deviation, and click the "Calculate" button to see the results.
Z-Score Formula
The Z-Score Calculator uses the following formula:
z = (x - μ) / σ
Where:
z is the standard score or Z-score,
x is the raw score to be standardized,
μ is the mean of the population,
σ is the standard deviation of the population.
Z-Score Calculation Example: The mean of a dataset is 20 and the standard deviation is 7. Find the z-score for a value of 6.
x = 6, μ = 20, σ = 7
z = (6 - 20) / 7
z = -14 / 7 = -2
z = -2
You can use this Z-Score Calculator to calculate the standard normal score (z-score) based on the raw score value, the population mean, and the standard deviation of the population.
How to use the calculator
- Enter the raw score value
- Enter the mean, standard deviation, and click the "Calculate" button to see the results.
Z-Score Formula
The Z-Score Calculator uses the following formula:
z = (x - μ) / σ
Where:
z is the standard score or Z-score,
x is the raw score to be standardized,
μ is the mean of the population,
σ is the standard deviation of the population.
Z-Score Calculation Example: The mean of a dataset is 20 and the standard deviation is 7. Find the z-score for a value of 6.
x = 6, μ = 20, σ = 7
z = (6 - 20) / 7
z = -14 / 7 = -2
z = -2