Compute for the following by referring to the data set in the attached picturenote: i = 5a. mean absolute deviationb. variancec. standard deviation 998588978495968910410010210580859679101998910280968090918410092879493828810310286908192100

We have to find the Mean Absolute Deviation, Variance and Standard Deviation We need to make a…

Answered: Compute for the following by referring…

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

Compute for the following by referring to the data set in the attached picture

note: i = 5

a. mean absolute deviation
b. variance
c. standard deviation

99
85
88
97
84
95
96
89
104
100
102
105
80
85
96
79
101
99
89
102
80
96
80
90
91
84
100
92
87
94
93
82
88
103
102
86
90
81
92
100

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 + ...

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