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The graph of a normal curve is given. Use the graph to identify the value of u and o. -58 -43 -28 -13 17 32 47 ..... The value of u is The value of o is

The graph of a normal curve is given. Use the graph to identify the value of u and o. -58 -43 -28 -13 17 32 47 ..... The value of u is The value of o is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Normal Distribution Graph Explanation** The graph of a normal curve is given. Use the graph to identify the value of μ (mean) and σ (standard deviation). The graph displays a symmetrical bell-shaped curve centered on the x-axis. The x-axis is labeled with the following values: -58, -43, -28, -13, 2, 17, 32, 47, 62. - The peak of the curve is located at **x = 2**, which indicates the mean (μ). - The curve has points of inflection at **x = -13** and **x = 17**, suggesting one standard deviation on either side of the mean. Therefore: - The value of μ (mean) is \( \boxed{2} \). - The value of σ (standard deviation) is calculated by finding the distance from the mean to the point of inflection: \( 17 - 2 = 15 \). So, the value of σ is \( \boxed{15} \). This illustration helps in understanding the properties of a normal distribution in terms of its mean and standard deviation.
Transcribed Image Text:**Normal Distribution Graph Explanation** The graph of a normal curve is given. Use the graph to identify the value of μ (mean) and σ (standard deviation). The graph displays a symmetrical bell-shaped curve centered on the x-axis. The x-axis is labeled with the following values: -58, -43, -28, -13, 2, 17, 32, 47, 62. - The peak of the curve is located at **x = 2**, which indicates the mean (μ). - The curve has points of inflection at **x = -13** and **x = 17**, suggesting one standard deviation on either side of the mean. Therefore: - The value of μ (mean) is \( \boxed{2} \). - The value of σ (standard deviation) is calculated by finding the distance from the mean to the point of inflection: \( 17 - 2 = 15 \). So, the value of σ is \( \boxed{15} \). This illustration helps in understanding the properties of a normal distribution in terms of its mean and standard deviation.
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