# MAT125 Project 1

Question # 49588 | 1 month ago |
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$50 |
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**Project 1 MAT125**

For this project you MUST use Minitab, include all printouts and hand written calculations, the data set and where you obtained the data set. **Please copy and paste all information from Minitab into a word document of some type**. Do not submit to me a Minitab file. There is a link located in the project #1 folder in Blackboard to access Minitab.

For this assignment, use the data set provided to you in Blackboard, find a data set that is of interest to you on the internet or gather your own data set. Information included at the end of this assignment. The data set should have at least one quantitative variable, at least one qualitative variable and have at least 25 values for each variable.

For this project, you will be using one quantitative variable and one qualitative variable. If your data set has more than one quantitative variable and/or more than one qualitative variable, just chose one of each type to do this project.

1) Print out the data set from Minitab and state where or how you obtained the data. State which is the

quantitative variable and which is the qualitative variable that you will be using for this project.

2) Construct a bar graph of the qualitative variable from your data set.

3) Construct a pie chart of the qualitative variable from your data set, include category name, frequency and

percent on graph.

4) Based on parts 2 and 3, write a sentence or two describing the qualitative variable.

5) Find the mean, median, mode, standard deviation, Q1, Q3 and IQR of all observations of the quantitative variable.

6) Find the mean, median, mode, standard deviation, Q1, Q3 and IQR for the quantitative variable for each value of the qualitative variable.

7) Construct a histogram of all the observations of the quantitative variable. Based on your histogram,

construct a frequency table.

8) Construct a boxplot of all the observations of the quantitative variable.

9) Construct a side-by-side boxplot for the quantitative variable by the qualitative variable.

10) Construct a stem-and-leaf display for the quantitative variable.

11) Based on parts 5, 7, 8, and 10, does it look like the distribution is skewed to the left, right, or symmetric? Give justification by comparing the median with the mean. Also, write a sentence or two describing any other observation about the quantitative variable.

12) Based on parts 6 and 9, write at least two sentences describing the quantitative by the qualitative variable, one sentence should include which qualitative variable has the largest IQR and what it is and others should be some other observation or observations.

13) Based on information from part 5, what percentage of data is in each of the following intervals?

(x̅−s,x̅+s), (x̅−2s,x̅+2s), and (x̅−3s,x̅+3s) (State the intervals and percentages.)

14) State the intervals where mild outliers could occur and where extreme outliers could occur. Then give the data values which are mild outliers and extreme outliers, if any. If there are none, state that there are no outliers.

Suggestions for data sets:

The data set should contain at least 25 data values.

There is a data set consisting of information gathered from previous statistics classes. It is in the Project #1 folder in Blackboard. Note: If you are using this data set, you need to copy all 50 values for the variables under consideration, not just 25 of them.

The ESPN website has information about various statistics for many sports. (The data set you chose must have at least 25 data values and you must use all the data values in the data set for the variables you are using for this project not just the first 25.)

The following website also has many different data sets of interest: https://dasl.datadescription.com/ ,

(The data set you chose must have at least 25 data values and you must use all the data values in the data set for the variables you are using for this project not just the first 25.)

Also, Minitab.com has data sets available for you to use: https://support.minitab.com/datasets/

(The data set you chose must have at least 25 data values and you must use all the data values in the data set for the variables you are using for this project not just the first 25.)

You can also gather your own data: Here are three suggestions.

Go to a local grocery store and collect these data for at least 25 breakfast cereals: cereal name; grams of sugar per serving; and the shelf location (bottom, middle, or top). If the store that you select does not have at least 25 breakfast cereals, then collect data from another store too. Group the data by shelf location this would be your qualitative variable.

Follow the directions for the preceding project, but instead of the grams of sugar per serving, record the price per ounce (or per gram) and the shelf location.

Go to a local grocery store and collect data for a least 25 different soups from each of 2 major soup makers; for example, Campbell’s and Progresso. For each of these soups, record the per-serving amounts of calories, fat and sodium. The two soup makers would be your qualitative variable.