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Algebra 2 Worksheet 11.6 Name____________________________________ Hr___Date_______________________________ Create a number line by plotting all of the data values then determine the whole number of standard deviations from the mean that include all the data values. 1) The following data are the prices (in dollars) of the nonfiction books on a best-sellers list. 27 23 24 25 30 20 25 24 28 25 32 24 Mean = x = ________ Standard deviation = = ________ 2) The following data are the lengths of Beethoven’s nine symphonies. 27 30 47 35 30 40 35 22 65 Mean = x = ________ Standard deviation = = ________ 3) The data for the daily energy usage of a small town during ten days in January is shown. 83.8 87.1 92.5 Mean = x = ________ 80.6 82.4 77.6 78.9 78.2 81.8 80.1 Standard deviation = = ________ A) How many values in the data set fall within one standard deviation from the mean? B) How many values in the data set fall within 2 standard deviations from the mean? C) How many values in the data set fall within 3 standard deviations from the mean?