Frequency tables

[aburchett]

Below are the home states of 19 college professors.

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


i. Make a frequency table using these 9 states:

Florida
Georgia
Michigan
Nebraska
New Jersey
Ohio
Pennsylvania
South Carolina
Wisconsin



My work:
States Tally Frequency
Florida | 1
Georgia |||| 4
Michigan || 2
Nebraska | 1
New Jersey ||| 3
Ohio ||| 3
Pennsylvania | 1
South Carolina || 2
Wisconsin || 2



ii. What is (are) the mode(s)? There are 3 (1s) and 3 (2s)
iii. Does it make sense to talk about the average for this data? Why or why not? Really not sure how to come up with this answer
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 Percentage of total Measure of Central Angle (in degrees)
Florida
Georgia
Michigan
Nebraska
New Jersey
Ohio
Pennsylvania
South Carolina
Wisconsin

My Work:
Home State Frequency Percentage of total Measure of Central Angle (in degrees)
Florida 1 1/19*100=5.26% .0526*360=18.94 degrees
Georgia 4 4/19*100=21.05% .2105*360=75.78 degrees
Michigan 2 2/19*100=10.53% .1053*360=37.91 degrees
Nebraska 1 1/19*100=5.26% .0526*360=18.94 degrees
New Jersey 3 3/19*100=15.79% .1579*360=56.84 degrees
Ohio 3 3/19*100=15.79% .1579*360=56.84 degrees
Pennsylvania 1 1/19*100=5.26% .0526*360=18.94 degrees
South Carolina 2 2/19*100=10.53% .1053*360=37.91 degrees
Wisconsin 2 2/19*100=10.53% .1053*360=37.91 degrees


Anyone know if this is correct? And can someone tell me how to figure out part iii.?

 

[tkhunny]

Average per state, maybe, but that's not very interesting.

The problem without rounding numbers that are NOT independent is that they tend to round the same direction. You'll have to decie what to do with the last 0.01º. Standard operation would be to subtract it from the largest category. Of course, you're not likely to notice 0.01º anyway.