# Statistics

see attached

Will have more data as soon as instructor posts.

Statistics Project

For this assignment, you will implement a project involving statistical procedures. The topic may be something that is related to your work, a hobby, or something you found interesting. If you choose, you may use the example described below.

The project report must include

· name of project and your name

· purpose of project

· data (provide the raw data used, and cite the source)—the sample size must be at least 10

· median, sample mean, range, sample variance, and sample standard deviation (show work)

· frequency distribution

· histogram

· percentage of data within one standard deviation of the mean, percentage of data within two standard deviations of the mean, percentage of data within three standard deviations of the mean (include explanation and interpretation). For a bell-shaped distribution, the respective percentages are approximately 68%, 95%, and 100%. Do your percentages imply that your data distribution is approximately bell-shaped? Note that the answer could be Yes or No, depending on your data. You can also look at the shape of your histogram (is it roughly bell-shaped?) as well as the percentages when making your judgment.

· conclusion (several paragraphs interpreting your statistics and graphs; relate to the purpose of the project)

If you choose, you may use the following example for your data.

· Purpose: Compare the amount of sugar in a standard serving size of different brands of cereal. (You may instead choose to compare the amount of fat, protein, salt, or any other category in cereal or some other food.)

· Procedure: Go to the grocery store (or your pantry) and pick at least 10 different brands of cereal. (Instead of choosing a random sample, you might purposely pick from both the “healthy” cereal types and the “sugary” ones.)

From the cereal box, record the suggested serving size and the amount of sugar per serving. The raw data is the serving size and amount of sugar per serving for each of the 10 boxes of cereal. Before calculating the statistics on the amount of sugar in each cereal, be sure you are comparing the same serving size.

If you use a serving size of 50 grams, you must calculate how much sugar is in 50 grams of each cereal. For example, if the box states that there are 9 grams of sugar in 43 grams of cereal, there would be 50 times 9 divided by 43, or 10.5 grams in 50 grams of cereal. The result of this simple calculation (for each of 10 boxes) is the data you will use in the project statistics and charts.

Additional details, discussion, and a complete project example will be provided in the Statistics Project conference.