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The formula for calculating a z-score is is z = (x-?)/?, where x is the raw score, ? is the population mean, and ? is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.

First, look at the left side column of the z-table to find the value corresponding to one decimal place of the z-score (e.g. whole number and the first digit after the decimal point). In this case it is 1.0. Then, we look up a remaining number across the table (on the top) which is 0.09 in our example.

To use the z-score table, start on the left side of the table go down to 1.0 and now at the top of the table, go to 0.00 (this corresponds to the value of 1.0 + . 00 = 1.00). The value in the table is . 8413 which is the probability.

A standard normal table (also called the unit normal table or z-score table) is a mathematical table for the values of ?, indicating the values of the cumulative distribution function of the normal distribution.

A continuous random variable Z is said to be a standard normal (standard Gaussian) random variable, shown as Z?N(0,1), if its PDF is given by fZ(z)=1?2?exp{?z22},for all z?R.

table, also called the standard normal table, is a mathematical table that allows us to know the percentage of values below (to the left) a zscore in a standard normal distribution (SND). Figure 1. A standard normal distribution (SND).

The TI 83 normalPDF function, accessible from the DISTR menu will calculate the normal probability distribution function, given the mean ? and standard deviation ?. The function doesn't actually give you a probability, because the normal distribution curve is continuous.