Assignment 2
Data Distributions
Submit before 11:30 Sunday September 27
Overview
For this assignment, you will practice interpreting distributions and applying your knowledge to draw inferences from them.
Practice tasks
- Download the rolls folder and run the rolls.R script. You will see that the data frame has a set1 column and a set2 column. For each of the set1 and set2 vectors, do the following:
- Summarize the descriptive statistics
- Create a boxplot and a histogram. Describe their distributions.
- How many values are within one standard deviation of the mean? Is this consistent with the empirical rule?
- How many values are within two standard deviations of the mean? Is this consistent with the empirical rule?
- For the rolls set (above question), one set was created by simulating one 16-sided die (labeled 0 through 15) and another set was created by simulating the sum of 3 6-sided dice (labeled 0 through 5). Which set do you think was created by the single-simulation and which was created by the 3-dice simulation? Why? Support your answer.
- For each of your web server response time samples of last year, do the following:
- Report (again) the mean and standard deviation.
- How many values are within one standard deviation of the mean? Is this consistent with the empirical rule?
Deliverable
Create word or pdf file that contains the following:
- A summary statement of your experience completing this assignment. It should contain a major finding from the paragraph of the last task (not the whole paragraph). Place this summary statement at the top of your document.
- Your clearly labeled answers to questions and problems
- Any additional details or output that you would like to include or document but are too long to insert among your answers.
Grading
The assignment is worth 5 points. Full credit will be awarded to complete, accurate
and well presented submissions. Points will be deducted for the following:
- Summary statements that do not reference concepts or details specific to the assignment
- Summary statements without meaningful experiences and explanations
- Incomplete answers
- Inaccuracies (possibly excepting minor ones)