Therefore, the 10th percentile of the standard normal distribution is -1.28. We look to the leftmost of the row and up to the top of the column to find the corresponding z-value. We search the body of the tables and find that the closest value to 0.1000 is 0.1003. Z scores tell you how many standard deviations from the mean each value lies. Any normal distribution can be standardized by converting its values into z scores. Since the entries in the Standard Normal Cumulative Probability Table represent the probabilities and they are four-decimal-place numbers, we shall write 0.1 as 0.1000 to remind ourselves that it corresponds to the inside entry of the table. Let x represent the data value, mu represent the mean, sigma represent the standard deviation, and z represent the z-score. The standard normal distribution table is a compilation of areas from the, more commonly known as a bell curve, which provides the area of the region located under the bell curve and to the left of a given score to represent probabilities of occurrence in a given population. The standard normal distribution, also called the z-distribution, is a special normal distribution where the mean is 0 and the standard deviation is 1. The question is asking for a value to the left of which has an area of 0.1 under the standard normal curve. \(P(Z<3)\) and \(P(Z<2)\) can be found in the table by looking up 2.0 and 3.0. If we click on a cell and enter NORM.S.DIST (.25, 1), after hitting enter the cell will contain the value 0.5987, which has been rounded to four decimal places. Table 1: Table of the Standard Normal Cumulative Distribution Function (z) z. To find the probability between these two values, subtract the probability of less than 2 from the probability of less than 3.
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