The following table shows the State-of-Origin for the students in a large statistics class at Duke...
The following table shows the State-of-Origin for the students
in a large statistics class at Duke University.
| State | Number of Students |
| North Carolina | 35 |
| Virginia | 9 |
| South Carolina | 8 |
| Florida | 15 |
| Another country | 8 |
| Another state | 24 |
(a) Determine the distribution for the State-of-Origin variable using proportions (relative frequencies) instead of counts (frequencies) as above. (Give each answer to 3 decimal places.)
| State | Proportion of Students |
| North Carolina | |
| Virginia | |
| South Carolina | |
| Florida | |
| Another country | |
| Another state | |
Homework Answers
total number of students (n) = 35+9+8+15+8+24 = 99
relative frequency = (individual count)/(total number n)
North carolina = (individual count)/(total number n) = 35/99 = 0.354
Virginia = (individual count)/(total number n) = 9/99 = 0.091
South carolina = (individual count)/(total number n) = 8/99 = 0.081
Florida = (individual count)/(total number n) = 15/99 = 0.152
Another country = (individual count)/(total number n) = 8/99 = 0.081
Another state = (individual count)/(total number n) = 24/99 = 0.242
| State | Proportion of Students |
| North Carolina | 0.354 |
| Virginia | 0.091 |
| South Carolina | 0.081 |
| Florida | 0.152 |
| Another country | 0.081 |
| Another state | 0.242 |
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