The following table presents the annual person-hours of time lost due to traffic congestion for a group of cities for 2009. This statistic is a measure of traffic congestion.CityAnnual Person-Hours Lost to Traffic CongestionBaltimore33Boston28Buffalo11Chicago44Cleveland13Dallas32Detroit23Houston37Kansas City14Los Angeles40Miami26Minneapolis27New Orleans20New York24Philadelphia26Phoenix23Pittsburgh23San Antonio19San Diego23San Francisco30Seattle27Washington, D.C.41Source: U.S. Bureau of the Census. 2012. Statistical Abstract of the United States: 2012. Table 1099. Available at http://www.census.gov/prod/2011pubs/12statab/trans.pdfa.Calculate the mean and median of this distribution.b.Compare the mean and median. Which is the higher value? Why?c.If you removed Chicago (the case with the highest score) from this distribution and recalculated, what would happen to the mean? To the median? Why?d.Report the mean and median as you would in a formal research report.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The following table presents the annual person-hours of time lost due to traffic congestion for a group of cities for 2009. This statistic is a measure of traffic congestion.

City	Annual Person-Hours Lost to Traffic Congestion
Baltimore	33
Boston	28
Buffalo	11
Chicago	44
Cleveland	13
Dallas	32
Detroit	23
Houston	37
Kansas City	14
Los Angeles	40
Miami	26
Minneapolis	27
New Orleans	20
New York	24
Philadelphia	26
Phoenix	23
Pittsburgh	23
San Antonio	19
San Diego	23
San Francisco	30
Seattle	27
Washington, D.C.	41

Source: U.S. Bureau of the Census. 2012. Statistical Abstract of the United States: 2012. Table 1099. Available at http://www.census.gov/prod/2011pubs/12statab/trans.pdf

a.
Calculate the mean and median of this distribution.
b.
Compare the mean and median. Which is the higher value? Why?
c.
If you removed Chicago (the case with the highest score) from this distribution and recalculated, what would happen to the mean? To the median? Why?
d.
Report the mean and median as you would in a formal research report.

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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