The graph of a normal curve is given. Use the graph to identify the value of u and o. -55 -40 -25 -10 20 35 50 65 ..... The value ofu 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. -55 -40 -25 -10 20 35 50 65 ..... The value ofu is The value of o is
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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Transcribed Image Text:### Understanding the Normal Distribution Curve
The given image displays a graph of a normal distribution curve with a focus on identifying the mean (μ) and standard deviation (σ).
#### Description of the Graph
- **Bell-Shaped Curve**: The curve exhibits a symmetric, bell-shaped appearance, typical of a normal distribution.
- **Mean (μ)**: The peak of the curve occurs at the center, which is at x = 5 on the horizontal axis.
- **Standard Deviation (σ)**: The graph includes dashed vertical lines indicating one standard deviation away from the mean on either side. These lines appear at x = -10 and x = 20. The distance between the mean (x = 5) and one standard deviation line is 15 units.
#### Deduced Values
- **The value of μ (mean) is 5.**
- **The value of σ (standard deviation) is 15.**
Understanding these values helps in analyzing data behavior under a normal distribution, allowing for predictions about data dispersion and probability.
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