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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?