Standard normal table for stats
ViSta and the Normal Distribution With ViSta, you can get the proportion of the scores that are below (to the left) of a given z-score by typing, in the listener window, the function: (Hint: Use table B, starting on page A-24 in the back of the book). Practice Problem For the normal distribution N(50,20) - that is that has a mean of 50 and a standard deviation of 20 - find X such that 71.57% of the area under the curve is to the left of X. Percentiles and the Normal Distribution You can use the normal distribution to determine percentiles (and percentile ranks).īecause a percentile (rank) of a score is the percentage of the scores that fall at or below the score, you will need to find the proportion of the distribution that is to the left of the score.
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has 50% of the scores below the mean and 50% above.is symmetrical (the left side is a mirror image of the right side).
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It can be shown mathematically that this shape is guaranteed in certain situations that will be important to us in inferential statistics.Ĭharacteristics: The normal distribution:.It can be shown that many characteristics of interest, such as IQ, height and weight of people, etc., have a normal population distribution.Why use Normal Distributions? What is important is to understand that the normal distribution is used very frequently because: Normal Distribution Definition The normal distribution is defined by a complicated equation that we don't need to know or understand. Probability and Distributions: Gravetter & Wallnau, Chapter 6 Copyright © 1997-8 by Forrest W.