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Name: Concrete formulated for use in commercial structures is designed to wi
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Description: Concrete formulated for use in commercial structures is designed to withstand pressures of 4000 pounds per square inch. The data set below represents the strength of 20 randomly selected samples of concrete. Click on the Data button shown below to di

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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Concrete formulated for use in commercial structures is designed to withstand pressures of 4000 pounds per square inch. The data set below represents the strength of 20 randomly selected samples of concrete. Click on the Data button shown below to display the data and copy and paste it into a statistical software package. Then compute the mean and standard deviation rounding your answers to 1 decimal place.

Data

Strength
4053
4223
4186
4322
4017
4169
4100
4003
4309
4086
3923
4440
3977
4270
3984
4136
3925
4204
4112
4305

Mean
Standard deviation

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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