Answered: Discuss the similarities and…

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

Discuss the similarities and differences between a relative frequency histogram as a way to represent a sample and the normal distribution as a model for the population represented by the sample. Review the directions and include some examples for drawing a normal distribution and for calculating relative frequencies in the normal distribution.

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.

Expert Solution

Step 1: Introduction

A relative frequency histogram is a way to represent the distribution of a sample by showing the frequency of observations in each interval of the data, relative to the total number of observations in the sample.

It can provide a visual representation of the shape of the sample distribution, including the central tendency and spread. On the other hand, normal distribution is a theoretical model that describes a specific type of distribution that has some unique properties, such as symmetry and a bell-shaped curve.