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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 PurchaserPercentUnder 14 years old1614 to 17 years old518 to 24 years old625 to 34 years old1635 to 44 years old1545 to 64 years old2765 years old and over15
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.)
Average Age-
b. Calculate the sample standard deviation. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Standard Deviation-
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