Answered: List and describe at least three…

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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Question

List and describe at least three characteristics of the normal distribution.Find an example of something that you would expect to be normally distributed and share it. Explain why you think it it normally distributed.Find an example of something that you would not expect to be normally distributed and share it. Explain why you think it would not be normally distributed.Find a web-based resource that is helpful in understanding the Normal Distribution.

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.

Expert Solution

Step 1: characteristics of the normal distribution

characteristics of the normal distribution

The normal distribution has a symmetrical, bell-shaped curve
The mean, median, and mode of a normal distribution are all equal,located at the center of the distribution.
The normal distribution is unimodal (only one peak)
The normal distribution is a continuous probability distribution ,It is defined over the entire real number line ( $negative infinity comma infinity$ ).

example of normally distributed data.

The intelligence quotient (IQ) ,most of the people will have IQ scores around the average, with fewer people having scores much higher or much lower than the average. This bell-shaped curve is what we mean when we say IQ scores typically follow a normal distribution.

The majority of people will have IQ values close to the average, which is usually set at 100.
Fewer people will have IQs that are considerably lower or higher than the mean.
The distribution is symmetrical, with almost equal means, medians, and modes.