The histograms below show the distribution of daily high temperatures in two cities: Provo, Utah and San Francisco, California. (a) 40 Frequency 30 20- 10 0 30 60 45 90 75 Temperature Maximums, Provo (degrees Fahrenheit) (b) 105 Frequency 80 60 40- 20 0 30 of pate 45 60 75 90 Temperature Maximums, San Francisco (degrees Fahrenheit) 105 Both distributions are fairly symmetric and have the same mean: 60° Fahrenheit Definition: The standard deviation should be thought of as the typical distance of the data from their mean. One city has a standard deviation of 8 degrees and one has a standard deviation of 21 degrees. a) Which city has the smaller standard deviation of 8 degrees? b) Which city has the larger standard deviation of 21 degrees?

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