Z Score Table

Z Score Table Z Score Table Definition of the Standard Normal Distribution The Standard Normal distribution follows a normal distribution and has mean 0 and standard deviation 1 Notice that the distribution is perfectly symmetric about 0.

If a distribution is normal but not standard, we can convert a value to the Standard normal distribution table by first by finding how many standard deviations away the number is from the mean.

The z-score The number of standard deviations from the mean is called the z-score and can be found by the formula Know More About Ogive

Z=x - m/s Example Find the z-score corresponding to a raw score of 132 from a normal distribution with mean 100 and standard deviation 15.

Solution We compute Z = 132 - 100 / 15 Z = 2.133 The z-score and Area Often we want to find the probability that a z-score will be less than a given value, greater than a given value, or in between two values. To accomplish this, we use the table from the textbook and a few properties about the normal distribution.

Example:-

Find =

P(z < 2.37)

Solution:- We use the table. Notice the picture on the table has shaded region corresponding to the area to the left (below) a z-score. This is exactly what we want.

Below are a few lines of the table.

Learn More About Measures of Central Tendency

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