Answered: In a recent study on world happiness,…

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

In a recent study on world happiness, participants were asked to evaluate their current lives on a decimal scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was

5.75.7

with a standard deviation of

2.42.4.

Assume the distribution can be approximated by a normal distribution.

(a) What response represents the

9393rdrd

percentile?

(b) What response represents the

6161stst

percentile?

firstfirst

quartile

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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