Basic Descriptive Statistics (UMAP)
Author: Richard Walker, Mansfield State College
With completion of this module students will be able to: 1) use frequency distributions and histograms to summarize data; 2) calculate means, medians, and modes as measures of central location; 3) decide which measure of central location may be most appropriate in a given instance; and 4) calculate and interpret precentiles.
Table of Contents:
1. THE NEED TO SUMMARIZE DATA - AN EXAMPLE
2. METHODS OF SUMMARIZING DATA
2.1 Frequency Distribution
2.2 Histograms
3. MEASURES OF LOCATION - ANOTHER METHOD OF SUMMARIZING DATA
3.1 The Arithmetic Mean
3.1.1 Computing the mean for raw data
3.1.2 Computing the mean from a frequency distribution
3.1.3 Properties of the mean
3.2 The Median
3.2.1 Computing the median from raw data
3.2.2 Computing the median from a frequency distribution
3.2.3 Properties of the median
3.3 The Mode
4. CHOOSING A MEASURE OF LOCATION
5. PERCENTILES, DECILES AND QUARTILES
5.1 Perecntiles
5.2 Computing Percentiles
5.3 Deciles and Quartiles
6. MODEL EXAM
7. ANSWERS TO EXERCISES
8. ANSWERS TO MODEL EXAM
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Mathematics Topics:
Application Areas:
Prerequisites:
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