Chapter 4: Analysing the Data |

## The Normal DistributionOne of the more important distributions in statistics is the "normal" distribution. The normal distribution is depicted in Figure 4.7 below. Notice a few things about its features. First, it is a symmetrical distribution, meaning that the left half of the normal distribution is a mirror image of the right half. Second, most of the scores in a normal distribution tend to occur near the center, while more extreme scores on either side of the center become increasingly rare. As the distance from the center increases, the frequency of scores decreases. Third, the mean, median, and mode of the normal distribution are the same. Figure. 4.7 Histogram of Computer-Generated Normal Data Some people claim that the many variables are distributed normally, including such things are heights, IQ scores, performance on psychological tests, and other things that psychologists often study. While there is some truth to the claim that many distributions are similar to the normal distribution, I believe the ubiquity of the normal curve as a description of a distributionŐs shape has been somewhat exaggerated. There is evidence that when you look carefully enough, many of the things that appear normally distributed in fact are not. Still, many of the constructs that we study, when measured, do |

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