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Chapter 3.2
Spread of a data set - standard deviation & variance
What You'll Learn
Calculate the population standard deviation and variance from data sets
Apply the sample standard deviation formula to estimate population spread
Identify how distance from the mean affects standard deviation calculations
Use frequency tables to efficiently compute mean and standard deviation
Interpret standard deviation as the average distance data points vary from the mean
What You'll Practice
1
Computing standard deviation and variance for complete data sets
2
Selecting sample data points and calculating sample standard deviation
3
Comparing graphs to determine which has highest or lowest standard deviation
4
Working with frequency tables to find mean and variance
5
Using calculator statistics functions to verify results
Why This Matters
Understanding standard deviation is essential for analyzing data spread in statistics, science, and real-world applications. You'll use these skills to interpret test scores, compare data consistency, analyze research results, and make informed decisions based on variability in any field that uses data.
Before You Start — Make Sure You Can:
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Standard Deviation
Variance
Population vs Sample
Mean
Data Spread
Frequency Tables
Statistical Analysis
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