Summarizing Data
Math 550 at UNC, Summer 2008
The following files include information on basic statistical approaches to summarizing data, including measures of central tendency, position, and dispersion. Click on the "Preview" thumbnails to see a slideshow of the documents, or click the "PDF" button to download a handout.
Downloadable Handouts
| Document Title |
Content |
Preview |
Download |
| Measures of Central Tendency and Distribution Shape |
Consider mean, median, and mode and its relationship to shapes of distributions |
|
 |
| Steps for Finding the Standard Deviation |
Compute standard deviation of the number of homeruns hit by Colorado Rockies' hitter Todd Helton |
|
 |
| Empirical Rules |
Understand and verify the Emprical Rule using SAT scores |
|
 |
| Chebyshev’s Rubles |
Verify Chevyshev's inequality using sample data about dates of penny mintings |
|
 |
| Weighted Weightless Flights |
Compute weighted averages and weighted standard deviations for space flight data |
|
 |
| Comparing Test Scores |
Use mean and standard deviation values for pairs of students to decide which student did better on their exam. |
|
 |
| Old Faithful Geysers |
Explore percentiles, percentile-ranks, quartiles, and box plots for geyser data |
|
 |
| Sampling Analysis |
Use simple random samples, stratified random samples, clustered samples, and systematic samples to explore random rectangle data |
|
 |
| Measures of Dispersion |
Slides for standard deviation and other measures of dispersion |
|
 |
| Measures of Position |
Slides for z-scores, percentiles, quartiles, and other measures of position |
|
 |
|