Below are the home states of 17 college professors.


Ohio Georgia New Jersey Georgia Nebraska
Michigan Ohio Pennsylvania South Carolina New Jersey
New Jersey South Carolina Wisconsin Michigan Pennsylvania
Ohio Wisconsin


i. Make a frequency table using these 8 states:
Georgia
Michigan
Nebraska
New Jersey
Ohio
Pennsylvania
South Carolina
Wisconsin

ii. What is (are) the mode(s)?
iii. Does it make sense to talk about the average for this data? Why or why not?
iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table:
Home State Frequency % of total Measure of Central Angle (in degrees)

Georgia


Michigan


Nebraska


New Jersey


Ohio


Pennsylvania


South Carolina


Wisconsin



SO CONFUSED!!

You only have a nominal scale, allowing you to only use the mode as measure of central tendency.

http://www.members.cox.net/dagershaw/lol/TwoPlusTwo.html

Cannot do pie chart on bulletin board.

how can i draw the frequency table and pie chart if i cannot use microsoft word program???

To solve the problem step by step:

i. To create a frequency table, count the occurrences of each state in the given list. Here's an example of how to do it:

- Georgia: 2
- Michigan: 3
- Nebraska: 1
- New Jersey: 3
- Ohio: 3
- Pennsylvania: 2
- South Carolina: 2
- Wisconsin: 2

ii. The mode(s) are the value(s) that appear most frequently in the data set. In this case, there are multiple modes because several states have the same highest frequency. The modes in this data set are Michigan, New Jersey, Ohio, Pennsylvania, South Carolina, and Wisconsin, as they each occur 3 times.

iii. It does not make sense to calculate an average (mean) in this case. The data consists of categorical variables (states), and the average is typically calculated for numerical data. Additionally, taking the average of the states wouldn't provide meaningful information in this context.

iv. To create a pie chart, you need the frequencies and their corresponding percentages. Here's an example of how to fill in the table:

Home State | Frequency | % of Total | Measure of Central Angle (in degrees)
------------------------------------------------------------------------------
Georgia | 2 | |
Michigan | 3 | |
Nebraska | 1 | |
New Jersey | 3 | |
Ohio | 3 | |
Pennsylvania| 2 | |
South Carolina | 2 | |
Wisconsin | 2 | |

To calculate the percentages, divide each frequency by the total number of professors (17) and multiply by 100. For example, the percentage for Georgia would be (2 / 17) * 100 ≈ 11.76%.

To calculate the measure of the central angle (in degrees), use the formula: (Frequency / Total Frequency) * 360 degrees. For example, the central angle for Georgia would be (2 / 17) * 360 ≈ 42.35 degrees.

Once you've filled in the table, you can create a pie chart using the frequencies or percentages as the values for each state. The measure of the central angle represents the proportion of the pie each state occupies.

I hope this helps clarify the process. Let me know if you have any further questions!