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Normal Distribution



If we increase the mean the distribution wanders to the right, it is therefore called a measure of location. In the movie, we change the mean of the distribution from eight to nine; have a look.

What does the red area in the movie mean?

The reader is inclined to think that the height of the curve indicates the frequency. Unfortunately, this is wrong. In the normal distribution frequencies, actually proportions, correspond to an area. The red area in the animation indicates the proportion of values that are larger than ten. Because the mean shifts in the direction of ten, the proportion larger then ten increases. Would we have decreased the mean, the proportion larger than ten would have decreased. Similarly, the red area in the standard deviation movie became smaller, because the distribution is more concentrated around the mean.This also implies that we find a smaller proportion of values larger than ten.