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# Normal Distribution and Normal curve; sample vs population

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Describe the basic characteristics of a normal distribution and the normal curve. What are z scores and how are they used in relation to distributions and raw scores? What is the difference between population and sampling distributions? Provide at least one example for each concept, explaining how the chosen example illustrates the concept.

https://brainmass.com/statistics/z-test/normal-distribution-and-normal-curve-sample-vs-population-434834

#### Solution Preview

Normal Distribution and Normal curve
Provide at least one example for each concept, explaining how the chosen example illustrates the concept.
1. Describe the basic characteristics of a normal distribution and the normal curve.
A normal distribution is:
? Symmetrical & uniform in shape
? Has the mean in the middle
? Mean and standard deviation determine the size of the curve but the shape is always symmetrical (meaning you can fold it in half and it matches on either side of the mean)
? standard deviation tells you the "spread" (width)
A normal curve is the curve that contains all the data points such as this one:

(see attached word document for diagram)

? Will have a certain percent of the data within each standard deviation (see below)

(see attached word document for diagram)

You can find normal distributions for all sorts of things but it usually requires ...

#### Solution Summary

Your tutorial is 567 words and includes four diagrams to give you examples of the concepts. No references because no outside sources were used.

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