Find the area of the shaded region. The graph to the right depicts IQ scores of adults in those scores are normally distributed with a mean of 100 and a standard deviation of 15The area of the shaded region is The image depicts a normal distribution curve (often referred to as a bell curve) with a shaded region highlighting the area between the values of 104 and 130.### Detailed Explanation of the Diagram:- **Normal Distribution Curve**: The curve is symmetrical and bell-shaped, indicating a normal distribution. This type of distribution is characterized by a single peak at the mean, with data tapering off symmetrically on both sides.- **Shaded Region**: The region between the values of 104 and 130 is filled with a light blue color, representing the proportion of data that falls within this range. This area likely corresponds to a specific probability or percentage of the dataset.- **Values Indicated**: - **104**: This value marks the beginning of the shaded region on the left side of the distribution. - **130**: This value marks the end of the shaded region on the right side.Understanding such diagrams is essential for statistical analysis, as it helps visualize how data is distributed over a set range. This visualization can be used to identify probabilities, standard deviations, and other statistical properties.

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Answered: Find the area of the shaded region. The…

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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Find the area of the shaded region. The graph to the right depicts IQ scores of adults in those scores are normally distributed with a mean of 100 and a standard deviation of 15

The area of the shaded region is

The image depicts a normal distribution curve (often referred to as a bell curve) with a shaded region highlighting the area between the values of 104 and 130.

### Detailed Explanation of the Diagram:

- **Normal Distribution Curve**: The curve is symmetrical and bell-shaped, indicating a normal distribution. This type of distribution is characterized by a single peak at the mean, with data tapering off symmetrically on both sides.

- **Shaded Region**: The region between the values of 104 and 130 is filled with a light blue color, representing the proportion of data that falls within this range. This area likely corresponds to a specific probability or percentage of the dataset.

- **Values Indicated**:
- **104**: This value marks the beginning of the shaded region on the left side of the distribution.
- **130**: This value marks the end of the shaded region on the right side.

Understanding such diagrams is essential for statistical analysis, as it helps visualize how data is distributed over a set range. This visualization can be used to identify probabilities, standard deviations, and other statistical properties.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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