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Statistical Concepts

Part A: What is dispersion? Briefly name five measures of dispersion. Describe the characteristics of the standard deviation. Explain!

Part B: Briefly describe to what kind of data does Chebyshev's Theorem apply? To what kind of data does Empirical Rule apply? Explain.

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RESPONSE:

Part A: What is dispersion? Briefly name five measures of dispersion. Describe the characteristics of the standard deviation. Explain!

DISPERSION

Dispersion refers to an important characteristic of a data set. The data values in a sample are not all the same. This variation between values is called dispersion. When the dispersion is large, the values are widely scattered; when it is small they are tightly clustered. The width of diagrams such as dot plots, box plots, stem and leaf plots is greater for samples with more dispersion and vice versa (http://www.stats.gla.ac.uk/steps/glossary/presenting_data.html#mode).

In other words, dispersion is how the data is distributed, and the measures of dispersion measure how far each element is from some measure of central tendency (average). There are several ways to measure the variability of the data. There are ...

Solution Summary

This solution explains the concept of dispersion, including five measures of dispersion. It describes the characteristics of the standard deviation. Then, it briefly describes the type of data that Chebyshev's Theorem and to The Empirical Rule applies to.

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