We have seen that the standard deviation plays an important role in the normal distribution. The area under the curve represents 100% (or 1.00) of the data (or population) and the mean score is 0. The normal curve, also called a bell-shaped curve, is represented in Figure 1. This section will explore how to determine this.Ĭonsider the normal curve which is an idealized representation of a normally distributed population. As an example, a student who has written a college entrance exam may want to know where they placed in comparison to all other students. We will shift gears and explore how to determine where a specific data value lies in relation to all other values.
When a set of data values is normally distributed, the 68-95-99.7 Rule can be used to determine the percentage of values that lie one, two or three standard deviations from the mean.
By the end of this section it is expected that you will be able to:
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