Z-score Calculator
Use this online Z-score calculator to find how many standard deviations a member value deviates from the group of members in a dataset. It provides a complete step-by-step mathematical workout showing standard normal transformation steps.
What is Z-score and its Purpose?
Z-score is also known as standard normal variate, standard score, normalized score and normal score. It's a numerical value which represents how many standard deviation a member X in a group of members in a dataset, distribution or population deviates from its mean. The Z-score generally used to identify the well or under performing members of a population. The higher or lower normalized score represents the higher or lower deviation of a member from its population mean of the data distribution respectively. The lower Z-scores of each members of population collectively improves the standard deviation of the distribution and so the uncertainty of expected results become low. Users may use this Z-score calculator to find how each individual member in a group or population deviates from the mean of distribution.
Z-score Formula
The below formula is the mathematical represenation for Z-score to find the deviation of a member from its population mean, or common behavior of the distribution. Find the mean and standard deviation of the distribution and apply the values in the below Z-score formula to find the deviation of an individual member from the mean of distribution.
