Answered: A variable is normally distributed with…

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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A variable is normally distributed with mean 8 and standard deviation 2.

a. Determine the quartiles of the variable.

b. Obtain and interpret the 80th percentile.

c. Find the value that 65% of all possible values of the variable exceed.

Q1=________

Q2=___________

Q3=__________

(Round to two decimal places as needed.)

b. The 80th percentile is ________________.

(Round to two decimal places as needed.

Choose the correct answer below.

A. The 80th percentile is the number that divides the bottom 20%

of the data from the top 80% of the data.

B. The 80th percentile is the number that is 80% of the largest data value.

C. The 80th percentile is the number that occurs in the data 80% of the time.

D. The 80th percentile is the number that divides the bottom 80% of the data from the top 20% of the data.

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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