Calculate the overall mean and pooled standard deviation manually. Set 1121.771121.787121.863121.781121.557Set 2121.784121.758121.765121.794121.723121.759Set 3121.752121.784121.765121.725

From the provided information, n1 = 5, n2 = 6 and n3 = 4

Answered: Set 1 121.771 121.787 121.863 121.781…

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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Calculate the overall mean and pooled standard deviation manually.

Set 1
121.771
121.787
121.863
121.781
121.557
Set 2
121.784
121.758
121.765
121.794
121.723
121.759
Set 3
121.752
121.784
121.765
121.725

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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