Concept explainers
To calculate: The variance of a set of data if we know the standard deviation.
Answer to Problem 2CFU
The variance is
Explanation of Solution
Given information:
We know the standard deviation.
Formula used:
A measure of variability associated with the arithmetic mean is the standard deviation.
The variance is the mean of the squares of the deviations from
The standard deviation is the positive square root of the variance.
Calculation:
According to the question ,
The standard deviation is denoted as
By definition, we get
Hence, the variance is
Chapter 14 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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