Answered: Which is NOT a correct statement about…

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

Which is NOT a correct statement about 68-95-99.7 rule?

Any normally distributed variable in the population, 68% of observations fall within 1 standard deviations of the mean in the normal distribution

If we measure the normally distributed variable in the population from a randomly selected 100 individuals, 95% of observations will fall within 2 standard deviations of the mean in the normal distribution

99.7% of the area under the Nomral curve lies within 3 standard deviation from the mean

None of above

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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