Z Score For Sample Mean. The z-scores have a mean of 0 and a standard deviation of 1. Z score 800-700 180. Assuming a normal distribution your z score would be. X zSD mean.
The individual value is less than the mean. The individual value is equal to the mean. The individual value is greater than the mean. For example consider a data set with a mean of 50 and a standard deviation of 2. If the Z value is positive it indicates that the value or score. The test has a mean μ of 150 and a standard deviation σ of 25.
If a data value has a z-score of 31 then this data value is 31 standard deviations smaller than the mean.
The z-scores have a mean of 0 and a standard deviation of 1. In other words Z-score measures the dispersion of data. As the formula shows the z-score and standard deviation are multiplied together and this figure is added to the mean. If a z score is less than 0 then it denotes an element less than the mean. If the Z score is zero that means the students score is the same as the mean value. A z-score of zero means that the data value equals the mean.