Compute for the mean, variance, and standard deviation of the probability distribution below:Height (in inches)FrequencyProbability table57 inches11/22=0.045559 inches33/22=0.136459.50 inches11/22=0.045560 inches22/22=0.090961 inches55/22=0.227361.20 inches33/22=0.136462 inches11/22=0.045563.2 inches11/22=0.045563.6 inches11/22=0.045564 inches11/22=0.045564.8 inches11/22=0.045565 inches11/22=0.045569 inches11/22=0.0455Total22

Solution: Let X be the height in inches. From the given information, the probability distribution of…

Answered: Compute for the mean, variance, 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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Compute for the mean, variance, and standard deviation of the probability distribution below:

Height (in inches)	Frequency	Probability table
57 inches	1	1/22=0.0455
59 inches	3	3/22=0.1364
59.50 inches	1	1/22=0.0455
60 inches	2	2/22=0.0909
61 inches	5	5/22=0.2273
61.20 inches	3	3/22=0.1364
62 inches	1	1/22=0.0455
63.2 inches	1	1/22=0.0455
63.6 inches	1	1/22=0.0455
64 inches	1	1/22=0.0455
64.8 inches	1	1/22=0.0455
65 inches	1	1/22=0.0455
69 inches	1	1/22=0.0455
Total	22

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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