# 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 EXAMPLE2. 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. PERCENTILES, DECILES AND QUARTILES

5.2 Computing Percentiles

5.3 Deciles and Quartiles

**6. MODEL EXAM**

7. ANSWERS TO EXERCISES

8. ANSWERS TO MODEL EXAM

7. ANSWERS TO EXERCISES

8. ANSWERS TO MODEL EXAM

#### Mathematics Topics:

#### Application Areas:

#### Prerequisites:

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