Answered: Select all the properties that must be…

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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Select all the properties that must be true of a normal distribution. a The distribution is bell-shaped. b The distribution is determined by the mean and standard deviation. c The distribution has a height of zero when it is more than 3 standard deviations away from the center. d The distribution is centered at the mean absolute deviation. e The total area under the normal distribution curve is 1. f The area under the normal distribution curve and within 2 standard deviations of the center is about 95% of the total area under the curve.

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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