Who can do this one within 3 hours?
I found my own personal sample of 30 players by starting at the player named in the email that accompanied this assignment. Start counting with the next person on the list, and take every third person on the list until I get 30 people. The data can be found in the spreadsheet ``Sample Data".
|
Min |
Q1 |
Median |
Q3 |
Max |
|
175 |
196.25 |
217.50 |
238.75 |
300 |
We draw a box whisker plot of the sample data as follows:
Using Excel, we calculated that the sample mean was 220.6 pounds, and the sample standard deviation was 33.84 pounds. We used the sample mean of 220.6 pounds and sample standard deviation of 33.84 pounds to get an Empirical Rule graph as follows:
As the population has a mean of 214.6 pounds with a population standard deviation of 42.2 pounds, the sample data has a mean of 220.60 pounds with a standard deviation of 33.84 pounds, which is very close to the population parameters. Thus, we would say that the sample statistics fairly represent the population parameters.
The above box whisker plot shows the data is skewed to right, so looks differently than the Empirical Rule graph. So, the data does not follow the Empirical Rule.