# Project #62555 - stat

Topic: Why do we need to study the variation of a collection

of data? Why isn’t the average by itself adequate?

Instructions

Write a brief but complete essay, in which you summarize the main points. Please include formulas and graphs as appropriate. 1.5 to two pages

We have studied three ways to measure variation: the range, standard deviation, box-and whisker plot. They all indicate the variation within data collection.

Discuss similarities and differences among these ways to measure data variation.

• Why would it seem reasonable to pair the median with a box-and-whisker plot & to pair the mean with the standard deviation?
• What are the advantages and disadvantages of each method of describing data spread?

Comment on statements such as following:

a)      The range is easy to compute, but it doesn’t give much information;

b)      Although the standard deviation is more complicated to compute, it
has some significant applications;

c)      The box-and-whisker plot is fairly easy to construct and it gives a
lot of information at a glance.

 Subject Mathematics Due By (Pacific Time) 03/16/2015 11:59 pm
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