Answered: A percentile is a collection of…

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

A percentile is a collection of observations that are greater than some percentage of all observations. For example, an observation is in the 90th percentile if at least 90% of all other observations are less than it.

In a Normal distribution, what is the smallest zz-score of an individual in the 90th percentile? Give your answer to two decimal places.

(Hint: The proportion of individuals with lower zz-scores should be approximately 0.9000.)

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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