The average number of minutes Americans commute to work is 27.7 minutes (Sterlin

Question

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: Click on the datafile logo to reference the data. DATA file Albuquerque Atlanta Austin Baltimore Boston Charlotte Chicago Cincinnati Cleveland Columbus Dallas Denver Detroit El Paso Fresno Indianapolis 23.3 Jacksonville 28.3 Kansas City 24.6 Las Vegas 32.1 Little Rock 1.7 Los Angeles 25.8 Louisville 38.1 Memphis 24.9 Miami 26.8 Milwaukee 23.4 Minneapolis 28.5 Nashville 28.1 New Orleans 29.3 New York 24.4 Oklahoma City 22.0 Tucson 23.0 Orlando 24.8 Philadelphia 26.2 Phoenix 23.4 Pittsburgh 28.4 Portland 20.1 Providence 32.2 Richmond 1.4 Sacramento 23.8 Salt Lake City 30.7 San Antonio 24.8 San Diego 23.6 San Francisco 25.3 San Jose 31.7 Seattle 43.8 St. Louis 28.3 25.0 26.4 23.6 23.4 25.8 20.2 26.1 24.8 32.6 28.5 27.3 26.8 24.0 20.1 32.8 27.1 Tulsa 34.2 Washington, D.C

Explanation / Answer

The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

20.1   20.1   20.2   21.4   22   23   23.3   23.4   23.4   23.4   23.6   23.6   23.8   24   24.4   24.6   24.8   24.8   24.8   24.9   25   25.3   25.8   25.8   26.1   26.2   26.4   26.8   26.8   27.1   27.3   28.1   28.3   28.3   28.4   28.5   28.5   29.3   30.7   31.7   31.7   32.1   32.2   32.6   32.8   34.2   38.1   43.8   

So, the upper half is

26.1   26.2   26.4   26.8   26.8   27.1   27.3   28.1   28.3   28.3   28.4   28.5   28.5   29.3   30.7   31.7   31.7   32.1   32.2   32.6   32.8   34.2   38.1   43.8   

The median of these numbers is 28.5.

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