The average number of minutes Americans commute to work is 27.7 minutes (Sterling’s BestPlaces, April 13, 2012). The average commute time in minutes for 48 cities are as follows:Albuquerque 23.3 Jacksonville 26.2 Phoenix 28.3Atlanta 28.3 Kansas City 23.4 Pittsburgh 25.0Austin 24.6 Las vegas 28.4 Portland 26.4Baltimore 32.1 Little Rock 20.1 Providence 23.6Boston 31.7 Los Angeles 32.2 Richmond 23.4Charlotte 25.8 Louisville 21.4 Sacramento 25.8Chicago 38.1 Memphis 23.8 Salt Lake City 20.2Cincinnati 24.9 Miami 30.7 San Antonio 26.1Cleveland 26.8 Milwaukee 24.8 San Diego 24.8Columbus 23.4 Minneapolis 23.6 San Francisco 32.6Dallas 28.5 Nashville 25.3 San Jose 28.5Denver 28.1 New Orleans 31.7 Seattle 27.3Detroit 29.3 New York 43.8 St. Louis 26.8el Paso 24.4 Oklahoma City 22.0 Tucson 24.0Fresno 23.0 Orlando 27.1 Tulsa 20.1indianapolis 24.8 Philadelphia 34.2 Washington, D.C. 32.8a. What is the mean commute time for these 48 cities?b. Compute the median commute time.c. Compute the mode.d. Compute the third quartile
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The average number of minutes Americans commute to work is 27.7 minutes (Sterling’s Best
Places, April 13, 2012). The average commute time in minutes for 48 cities are as follows:
Albuquerque 23.3 Jacksonville 26.2 Phoenix 28.3
Atlanta 28.3 Kansas City 23.4 Pittsburgh 25.0
Austin 24.6 Las vegas 28.4 Portland 26.4
Baltimore 32.1 Little Rock 20.1 Providence 23.6
Boston 31.7 Los Angeles 32.2 Richmond 23.4
Charlotte 25.8 Louisville 21.4 Sacramento 25.8
Chicago 38.1 Memphis 23.8 Salt Lake City 20.2
Cincinnati 24.9 Miami 30.7 San Antonio 26.1
Cleveland 26.8 Milwaukee 24.8 San Diego 24.8
Columbus 23.4 Minneapolis 23.6 San Francisco 32.6
Dallas 28.5 Nashville 25.3 San Jose 28.5
Denver 28.1 New Orleans 31.7 Seattle 27.3
Detroit 29.3 New York 43.8 St. Louis 26.8
el Paso 24.4 Oklahoma City 22.0 Tucson 24.0
Fresno 23.0 Orlando 27.1 Tulsa 20.1
indianapolis 24.8 Philadelphia 34.2 Washington, D.C. 32.8
a. What is the mean commute time for these 48 cities?
b. Compute the median commute time.
c. Compute the
d. Compute the third
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