q22- What should be used to compare distributions of two or more variables? Select one:a.Boxplotsb.Cumulative histogramsc.Histogramsd.Mean

Answered: What should be used to compare…

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

q22-

What should be used to compare distributions of two or more variables?

Select one:

Boxplots

Cumulative histograms

Histograms

Mean

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step 1

Boxplot :

A boxplot is a graphical method that is used to visualize the distribution of data based on five number summary values.

Cumulative histogram:

A cumulative histogram is a graphical method that is used to visualize the sum of frequency of bins of the smaller values of the response variable.

Histograms:

Histogram is a graphical representation to display continuous data. In histogram, there is no gap widths between each bar. Each bar in histogram represents the frequency of occurrences in the corresponding interval.

Mean:

It is a summary value which provides the average value of a numerical variable.