Therefore, the 10th percentile of the standard normal distribution is -1.28. This says that x x is a normally distributed random variable with mean 5 5 and standard deviation 6 6. A z-score is measured in units of the standard deviation. We look to the leftmost of the row and up to the top of the column to find the corresponding z-value. A z-score table allows us to determine, for a normal distribution, the percentage of data values that lie below (to the left) of a specific zscore. The value x x comes from a normal distribution with mean and standard deviation. We search the body of the tables and find that the closest value to 0.1000 is 0.1003. 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. The question is asking for a value to the left of which has an area of 0.1 under the standard normal curve. 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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