week 7 math

Statcrunch Chapter 7

This project requires you to look at income data from 51 different areas (50 states and D.C.). This data has a column for each of the following: White Women, Black Women, All Men. This is actual data comprised from the Census 2013 American Consumer Surveys. The goal is to work with real data, run statistics and draw conclusion on the difference or similarities in income based on race. There are 5 parts to this project that you will work on during 5 different weeks of the course. You will be writing conclusions, differences and similarities between the data sets after each part so in the end you have a complete report that will be submitted. In the end your findings should discuss the discrepancies in income based on race. Each week I will grade your submission and provide feedback on parts you should redo before completing the final project at the end of the semester.

Part 2

Task 1: Open the Income data set in Statcrunch.

Task 2: Create a histogram for each of the three columns (White, Black, and Male). Be sure to select to have the normal curve overlaid on your graph.

Task 3: Make note of the mean and standard deviation from each group as you will use this in the normal calculator. For each of the three datasets you will find the income that represents the 80th Percentile value. This is the value we would expect the top 20% of people to be making above. You can compare these values with each other.

Task 4: Type up your findings. With the histograms please be sure to discuss the overall shape of each of the graphs (normal, skewed, etc) as well as compare the mean and standard deviation between the 3 data sets. Be sure to also note the difference in the values that you calculated in task 3. Make sure all your Statcrunch images are listed and discussed. Upload to blackboard.

***Step by Step directions for Statcrunch are on the following Pages

***Please follow formatting guidance provided in the case study template

Making a Histogram:

Make sure you have opened the Income data set. Click graph Histogram. You can again create each histogram separately or highlight all three variables at one time by holding shift while you click the values. Under Display options from the drop down select Normal. Then click compute. If you have constructed all 3 graphs at once you can use the arrows at the bottom right to switch between the graphs.

The graphs constructed will need to be copied into your write up. To copy a graph please follow these steps. Click Options Copy. A new graph has appeared. You can right click and select copy here. Then when you go to your word document you will hit CTRL+ALT+v then select device independent bitmap. This will paste the graph in the proper format to your word document. Be sure to note the mean and standard deviation as these will be used in the next section. ***Please be sure to shrink the images to fit nicely into your document three graphs side by side in a row.

Using the Normal Calculator:

To open the Normal Calculator, navigate to Stat Calculators Normal. You will repeat the following process three times, once for each dataset. For each data set you will enter the mean and standard deviation from the histograms you created. Then in the far bottom right box .80 to represent the 80th percentile value. Click compute. Be sure to save each of the three screens with the 80th percentile value.

Now you will type your findings for the week. The first part should include the overall shape of each of the histograms as well as comparing or contrasting the mean and standard deviation for each week. Be sure to also note the difference in the 80th percentile values. Are there any inequalities that you are noticing between the income based on your race/gender? Please be sure to review the case study template to make sure your submission is accurate.