** **

**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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