Answered: The data sets give the ages of award…

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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The data sets give the ages of award winners from 2000 to 2005 at the time of the award. Use the data to answer the questions. Men Women a) Without calculating, which data set has the greater mean age? Year 2000 2001 2002 STABI 2003 2004 2005 ~ Men Age Phil 44 39 Geoff 47 Chris Ed Sean 33 41 Mike 46 b) Verify your conjecture from part (a) by calculating the mean age for each data set. Mean (Men) 41.67 Mean (Women) 29 (Round to the nearest hundredth as needed.) IT Year 2000 2001 2002 2003 2004 2005 Women Megan Elizabeth Katherine Tanya Susan Jennifer Age 24 35 27 27 29 32

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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