Sound City sells the TrueSound-XL, a top-of-the-line satellite car radio. Over t

Question

Sound City sells the TrueSound-XL, a top-of-the-line satellite car radio. Over the last 120 weeks, Sound City has sold no radios in five of the weeks, one radio in 28 of the weeks, two radios in 44 of the weeks, three radios in 26 of the weeks, four radios in 11 of the weeks, and five radios in 6 of the weeks. The following table summarizes this information.

Compute a weighted mean that measures the average number of radios sold per week over the 100 weeks. (Round your answer to 2 decimal places.)

  Number of
Radios Sold Number of Weeks
Having the Sales Amount   0 5   1 28   2 44   3 26   4 11   5 6

Explanation / Answer

Consider the table:

As

u = Sum(x f(x)) / Sum(f(x)),

Then

u = 268/120 = 2.233333 = 2.23 [ANSWER]

x f(x) x f(x) 0 5 0 1 28 28 2 44 88 3 26 78 4 11 44 5 6 30 Totals 120 268

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