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 Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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