11-6 Standard Deviation
Objectives To find the standard deviation and variance of a set of values
To apply standard deviation and variance
Lesson Vocabulary
- measure of variation
- variance
- standard deviation
You learned about summation notation in Chapter 9. To find the mean of a data set, you sum the data values and divide by the number of data values. You can use summation to measure how data deviates from the mean.
Essential Understanding Standard deviation is a measure of how far the numbers in a data set deviate from the mean.
In the previous lesson you studied range and interquartile range. Each of these is a measure of variation. A measure of variation describes how the data in a data set are spread out.
Variance and standard deviation are measures showing how much data values deviate from the mean. The Greek letter
Take Note Key Concepts: Finding Variance and Standard Deviation
- Find the mean,
- Find the difference,
- Square each difference,
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Find the average (mean) of these squares. This is the variance.
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Take the square root of the variance. This is the standard deviation.
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions