The National Sporting Goods Association (NSGA) conducted a survey of the ages of people that purchased athletic footwear in 2009. The ages are summarized in the following relative frequency distribution. Assume the survey was based on 100 individuals.
Age of Purchaser | Percent |
Under 14 years old | 25 |
14 to 17 years old | 6 |
18 to 24 years old | 6 |
25 to 34 years old | 14 |
35 to 44 years old | 15 |
45 to 64 years old | 27 |
65 years old and over | 7 |
a. Calculate the average age of this distribution. Use 10
as the midpoint of the first class and 75 as the midpoint of the
last class. (Round intermediate calculations to at least 4
decimal places and final answer to 2 decimal
places.)
b. Calculate the sample standard deviation. (Round
intermediate calculations to at least 4 decimal places and final
answer to 2 decimal places.)
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