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Use the following format to find a z-score: z = X - Î¼ / Ï. This formula allows you to calculate a z-score for any data point in your sample. 1  Remember, a z-score is a measure of how many standard deviations a data point is away from the mean.2  In the formula X represents the figure you want to examine.his will start out the calculations for a z-score. 1  For example, in our sample of tree heights we want to find out how many standard deviations 7.5 is from the mean of 7.9. 2  Therefore, you would perform the following: 7.5 - 7.9.
U = z SD + M. where, SD is the Standard Deviation and M is the Mean of the distribution. Thus, we get the corresponding value of the upper limit. We then find the lower limit L by making the sign of z score as negative and using the same formula again.L = z SD + M. First, we find out the various quantities we would need, like mean, standard deviation, variance, mid % amount of the distribution.n graph, the upper limit is shown as U and lower limit as L. We convert half of the % to decimal. In our example, we would get 0.25. Next, we check the Z-table for value we got as decimal number in the previous step. We write the closest value for the answer.