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Chapter 8: Discrete Probability Distributions

8-5 Variance and Standard Deviation of a Discrete Random

Variable

The following diagrams,

Figure 8-8

through

Figure 8-10

, show the shapes

of different distributions about the same mean for different random

variables. Observe that some are more spread out about the mean, while

others are more clustered about the mean. The spread gives us an idea about

the

variability

of the random variable about the mean.

Figure 8-8:

Distribution with a fair amount of

spread about the mean