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 28.3 24.6 32.1 31.7 25.8 38.1 24.9 26.8 23.4 28.5 28.1 29.3 24.4 23.0 24.8 Jacksonville Kansas City Las Vegas Little Rock Los Angeles Louisville Memphis Miami Milwaukee Minneapolis Nashville New Orleans New York Oklahoma City Orlando Philadelphia 26.2 23.4 28.4 20.1 32.2 21.4 23.8 30.7 24.8 23.6 25.3 31.7 43.8 22.0 27.1 34.2 Phoenix Pittsburgh Portland Providence Richmond Sacramento Salt Lake City San Antonio San Diego San Francisco San Jose Seattle St. Louis Tucson Tulsa Washington, D.C. 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

Answer 1

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

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   

Since both 23.4 and 24.8 occur 3 times, the modes are 23.4 and 24.8 ( this data set is bimodal).

Answer : The data are bi modal . The modes are 23.4 and 24.8