
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:The image contains a question about drawing a normal distribution curve with a mean of 60 and a standard deviation of 13. It asks to choose the correct graph of the normal curve from the given options and to describe how the curve was constructed, including its features.
Graph Descriptions:
1. Option A:
- The graph shows a symmetrical bell curve centered at 50.
- The x-axis is labeled with values: 43, 50, and 57.
2. Option B:
- The graph shows a symmetrical bell curve centered at 65.
- The x-axis is labeled with values: 59, 65, and 71.
3. Option C:
- The graph shows a symmetrical bell curve centered at 73.
- The x-axis is labeled with values: 47, 60, and 73.
The prompt includes blanks to be filled in with numbers or decimals to specify points of inflection.
For educational purposes, the correct graph should be centered at 60, according to the mean provided. The points of inflection for a normal distribution occur at one standard deviation away from the mean (47 and 73 in this case). Therefore, Option C appears to be the most appropriate graph based on the mean and standard deviation given.
To construct such a curve:
- The mean (µ = 60) is the center of the curve.
- Standard deviation (σ = 13) determines the width and spread of the curve, with points of inflection at µ ± σ, which are 47 and 73.
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