If a random variable (RV) X is distributed Normally with mean m and standard deviation sthen
Z = (X - m)/s is the corresponding Normal variable which is distributed with mean 0 and variance 1. The distribution of X is difficult to compute but that for Z is readily available. It can be used to find the probabilities of the RV lying in different domains and thereby for testing hypotheses.
Chat with our AI personalities
A z-score of 0 means the value is the mean.
Z=²8² = 8x8 = 64the value of z = 8
4
The Z Value, or Z Score, does not apply to the mean, it is a representation of a piece of data. z = (x-µ)/sigma
z-score of a value=(that value minus the mean)/(standard deviation). So a z-score of -1.5 means that a value is 1.5 standard deviations below the mean.