- Subject:
- Statistics and Probability
- Material Type:
- Module
- Level:
- Community College / Lower Division, College / Upper Division
- Provider:
- Ohio Open Ed Collaborative
- Tags:
- License:
- Creative Commons Attribution Non-Commercial
- Language:
- English
- Media Formats:
- Text/HTML, Video
Descriptive Statistics - Supplementary Notes
Chapter 2 - Exercises
Chapter 2 - Key Terms
Chapter 2 - Lab - Descriptive Statistics
Numerical Summary of Data
Numerical Summary of Data
Spreadsheet Calculations - One Variable Statistics
Numerical Summary of Data
Overview
A data set is a listing of variables and their observed values on individuals or objects of study. In this topic we will learn about numerical summaries of data on a single variable and learn how to use them to describe data distribution and determine unusual values in the data. The type of numerical summaries to use depend on the data. We will also learn about boxplots.
Learning Objectives:
- Understand which numerical summaries must be used to represent data
- Be able to compute and interpret them. Also, know their properties and relative advantages and disadvantages. Further, use these measures to describe distributions, compare values from distributions, detect unusual values in the data, etc.
- For categorical data use counts and proportions to describe categories
- For quantitative data use
- Measures of Center – Mean, Median, Mode
- Measure of Spread – Range, Interquartile Range (IQR), Variance and Standard Deviation
- Measures of Location – Minimum, Maximum, Quartiles and Percentiles
- Learn to distinguish between different types of distributions for quantitative data – symmetric, skewed, bell-shaped, multimodal distributions
- Learn about Empirical Rule for bell-shaped distributions
- Use z-scores to compare values and detect unusual values
- Make boxplot of data
Textbook Material: Chapter 2 – Descriptive Statistics – Pages 88 - 122
Suggested Homework
Chapter 2 - Descriptive Statistics – 29, 31, 32, 43, 57, 60, 69, 71, 82, 84, 86, 88, 89, 104, 106, 108, 109, 115, 119
Chapter 2 Exercises
Suggested Exercises -
29, 31, 32, 43, 57, 60, 69,
71, 82, 84, 86, 88, 89,
104, 106, 108, 109, 115, 119
Chapter 2 - Exercises
Class Worksheet
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Lab
Descriptive Statistics Lab
Please see Instructor Facing Content
Key Terms
Insert link to key terms here
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Course Video Resources
External Resources and Videos