Answered: 3.59 3.59 4.79 3.56 3.55 3.71 3.65 3.63…

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

Data collected by the Oil Price information Service from more than 90,000 gasoline and
convenience stores throughout the U.S. showed that the average price for a gallon of
unleaded gasoline was $3.28 (MSN Auto website, February 2, 2014). The following data
show the price per gallon ($) for a sample of 20 gasoline and convenience stores
located in San Francisco.

a. Use the sample data to estimate the mean price for a gallon of unleaded
gasoline in San Francisco.
b. Compute the sample standard deviation.
c. Compare the mean price per gallon for the sample data to the national average
price. What conclusions can you draw about the cost living in San Francisco?

3.59
3.59
4.79
3.56
3.55
3.71
3.65
3.63
3.60
3.75
3.56
3.57
3.59
3.55
3.99
4.15
3.66
3.73
3.61
3.57

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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