Answered: The Ironman 70.3 Asia-Pacific 2017…

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 Ironman 70.3 Asia-Pacific 2017 Championship result is shown on table below. Compute the range and standard deviation of the top 10 fastest time. Athlete Reed, Tim Mendez, Mauricio Fisher, Ryan Berkel, Tim Mcmahon, Brent Millward, Callum Williams, Brad Watson, Eric Cosulich, Timothy Watkinson, Amelia Time 3:54:07 3:56:46 4:00:20 4:02:31 4:05:24 4:10:20 4:19:55 4:23:30 4:26:54 4:29:17 2. Melvin surveyed the price of unleaded gasoline at gas stations in raw data, in pesos per liter, are given below. Davao city and Tagum City. The a. Find the standard deviation of prices in each city. b. Which city has more consistently priced gasoline? Why? Davao City Tagum City 45.90 46.20 48.75 47.95 48.90 48.95 49.01 45.52 45.00 46.83 47.90 47.98 3. Some studies show that the mean normal human body temperature is actually somewhat lower than the commonly given value of 37°C. This is reflected in the following data set of body temperatures. Body temperatures (°C) of 30 healthy adults are recorded as follows: 36.1 37.2 37.0 37.3 36.9 36.5 37.8 37.0 37.2 36.8 37.5 37.3 36.7 36.8 36.1 36.5 36.7 37.1 37.2 36.6 36.4 35.9 36.3 37.2 37.7 37.2 36.5 36.6 36.7 37.8 a. Find the mean and sample standard deviation of the body temperatures. b. Are there any temperatures in the data set that do not lie within 2 standard deviations of the mean? If so, list them. 4. A mountain climber plans to buy some rope to use as a lifeline. Which of the following would be the better choice? Explain why you think your choice is the better choice. Rope A: Mean breaking strength: 500 lb; standard deviation of 100 lb Rope B: Mean breaking strength: 500 lb; standard deviation of 10 lb 5. The average number of days construction workers miss per year is 11 with a standard deviation of 2.3. The average number of days factory workers miss per year is 8 with a standard deviation of 1.8. Which class is more variable in terms of days missed?

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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