Answered: The chart shows the number 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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The chart shows the number of job-related injuries for each of the transportation industries for 1998. Industry Number of injuries Railroad 4520 Intercity bus 5100 Subway 6850 Trucking 7144 Airline 9950 1. What are the variables under study? 2. Categorize each variable as quantitative or qualitative. 3. Categorize each quantitative variable as discrete or continuous. 4. Identify the level of measurement for each variable. 5. The railroad is shown as the safest transportation industry. Does that mean railroads have fewer accidents than the other industries? Explain. 6. What factors other than safety influence a person’s choice of transportation? 7. From the information given, comment on the relationship between the variables

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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