Answered: (a) Find the mean annual amount of…

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

(a) Find the mean annual amount of government aid for the arts in this country.

The mean annual amount of government aid for the years

2010−2019

is the equivalent of ________ million U.S. dollars.

(b) Find the median annual amount of government aid for the arts in this country.

The median annual amount of government aid for the years

2010−2019

is the equivalent of _______ million U.S. dollars.

Support your local artist: In a certain country, government money is used to support the arts. The annual amounts of support, in the equivalent of millions of
U.S. dollars, for the years 2010 to 2019 are given below.
Year Amount
2010 159.4
2011 150.2
2012 144.0
2013 161.1
2014 148.1
2015 166.6
2016 143.2
2017 147.5
2018 149.8
2019 167.6

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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