# Applied Statistics: PROJECT I

## MAT 273 — Applied Statistics:  PROJECT I

50 points

This past couple of weeksyou have just studied the topics of mean, median, mode, quartiles and standard deviation. Now, we are going to use these mathematical concepts to analyze the weights of the Tiffin University football team. Attached is a roster of the players with their weights, and an electronic form of this data is available on the course webpage.

Data Analysis:

1. Find your 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 you get 30 people. (Jump to the top of the table if you run out.)
2. Compute the five-number summary using the sample data above and then construct a box-and-whisker plot for the data. Drawthe graph neatly and accurately by hand.(For online submission, submit a scan or picture.)
3. Calculate the mean and standard deviation for the sample data.
4. Use the mean and standard deviation from Part 3 to create an Empirical Rule graph (normal curve). Draw the graph neatly and accurately by hand. Compare the curve to the box and whisker plot to determine if the data “roughly” follows the Empirical Rule.(For online submission, submit a scan or picture.)
5. The population mean for the entire team is 221.5 pounds and population standard deviation for the entire team is 46.2 pounds. Compare these to the results for step 3. Do your sample statistics fairly represent the population parameters?