Enter your percent, mean, and standard deviation into the calculator to determine your Z score.
Z Score Calculation Formula
The following formula is used to calculate the Z score from your percent.
Z Score = (Percent - Mean) / Standard Deviation
Variables:
- Z Score is the standard score
- Percent is the observed value
- Mean is the average value of the dataset
- Standard Deviation is the measure of the amount of variation or dispersion of a set of values
To calculate the Z score, subtract the mean from the percent, and then divide the result by the standard deviation.
What is Z Score Calculation?
Z score calculation is a statistical process that quantifies the distance (in standard deviations) a data point is from the mean of the dataset. It helps in identifying how unusual or typical a value is within a dataset. A positive Z score indicates that the data point is above the mean, while a negative Z score signifies it is below the mean. Z scores are widely used in various fields such as finance, healthcare, and education to standardize data and make meaningful comparisons.
How to Calculate Z Score?
The following steps outline how to calculate the Z score using the given formula.
- First, determine the percent you want to evaluate.
- Next, determine the mean of your dataset.
- Calculate the standard deviation of your dataset.
- Use the formula: Z Score = (Percent – Mean) / Standard Deviation.
- Finally, calculate the Z