Determine the sample mean, median, mode (if it exists), range, sample variance and standard deviation, coefficient of variation, Pearson's second coefficient of skewness, and coefficient of kurtosis of the given data set. Describe the skewness and kurtosis of the given data set. 3.28 ● U.S. Census data for San Luis Obispo County,California, were used to construct the followingfrequency distribution for commute time (in min-utes) of working adults (the given frequencies wereread from a graph that appeared in the San LuisObispo Tribune [September 1, 2002] and so are onlyapproximate):Commute TimeFrequencyO to <55,2005 to <1018,20010 to <1519,60015 to <2015,40020 to <2513,80025 to <305,70030 to <3510,20035 to <402,00040 to <452,00045 to <604,00060 to <902,10090 to <1202,200

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Answered: 3.28 • U.S. Census data for San Luis…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Determine the sample mean, median, mode (if it exists), range, sample variance and standard deviation, coefficient of variation, Pearson's second coefficient of skewness, and coefficient of kurtosis of the given data set. Describe the skewness and kurtosis of the given data set.

3.28 ● U.S. Census data for San Luis Obispo County,
California, were used to construct the following
frequency distribution for commute time (in min-
utes) of working adults (the given frequencies were
read from a graph that appeared in the San Luis
Obispo Tribune [September 1, 2002] and so are only
approximate):
Commute Time
Frequency
O to <5
5,200
5 to <10
18,200
10 to <15
19,600
15 to <20
15,400
20 to <25
13,800
25 to <30
5,700
30 to <35
10,200
35 to <40
2,000
40 to <45
2,000
45 to <60
4,000
60 to <90
2,100
90 to <120
2,200

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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