Find the area of the shaded region. The graph to the right depicts scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 The image displays a bell-shaped curve, which is a typical representation of a normal distribution graph. The graph highlights the region to the left of the value 120, indicating the section of the distribution that is below or up to this value.### Explanation of the Normal Distribution Graph:- **Bell-Shaped Curve**: This symmetrical curve shows how data is distributed around a mean, with most values clustering around a central point and tapering off as they move further from the center. - **Highlighted Area**: The shaded region under the curve represents the probability or proportion of data points that are less than or equal to 120. This area helps in understanding the percentile rank or cumulative probability associated with the value 120.- **Axis and Value**: The horizontal axis marks the different values the data can take, with 120 specified on this axis, demonstrating a specific point in the distribution.This graph is often used in educational settings to explain concepts of probability, statistics, and data analysis.

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 scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15

The image displays a bell-shaped curve, which is a typical representation of a normal distribution graph. The graph highlights the region to the left of the value 120, indicating the section of the distribution that is below or up to this value.

### Explanation of the Normal Distribution Graph:

- **Bell-Shaped Curve**: This symmetrical curve shows how data is distributed around a mean, with most values clustering around a central point and tapering off as they move further from the center.

- **Highlighted Area**: The shaded region under the curve represents the probability or proportion of data points that are less than or equal to 120. This area helps in understanding the percentile rank or cumulative probability associated with the value 120.

- **Axis and Value**: The horizontal axis marks the different values the data can take, with 120 specified on this axis, demonstrating a specific point in the distribution.

This graph is often used in educational settings to explain concepts of probability, statistics, and data analysis.

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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