Concept explainers
To calculate: The mean deviation and the standard deviation of
Answer to Problem 14E
The standard deviation is
Explanation of Solution
Given information:
Formula used:
A measure of variability associated with the arithmetic mean is the standard deviation.
The arithmetic mean of the absolute values of the deviations from the mean of a set of data is called the mean deviation.
Formula of Mean
Calculation:
Consider the data ,
So,
The mean of the data is
Therefore , the standard deviation is −
3.8 | 4.89 | ||
4.0 | 4.89 | ||
4.0 | 4.89 | ||
4.4 | 4.89 | ||
4.9 | 4.89 | ||
5.3 | 4.89 | ||
5.5 | 4.89 | ||
5.6 | 4.89 | ||
5.7 | 4.89 | ||
5.7 | 4.89 | ||
The mean deviation is −
3.8 | 4.89 | |
4.0 | 4.89 | |
4.0 | 4.89 | |
4.4 | 4.89 | |
4.9 | 4.89 | |
5.3 | 4.89 | |
5.5 | 4.89 | |
5.6 | 4.89 | |
5.7 | 4.89 | |
5.7 | 4.89 | |
Hence, the standard deviation is
Chapter 14 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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