Bunuel wrote:

A set of data contains five terms. If the average of those terms is 12 and the range of the set is 15, what is the greatest possible value of a term in that set?

A. 12

B. 15

C. 18

D. 21

E. 24

If the range is 15, the minimum value is x and the maximum value is x+15

We are also given that the average of the 5 element set is 12. Since we are

asked to find the greatest possible value of the set, the other 3 elements are

equal to the minimum value

\(x+x+15+3x = 5*12 = 60\) -> \(5x + 15 = 60\) -> \(x = \frac{45}{5} = 9\)

Therefore, the greatest possible value of a term in the set is x+15 =

24(Option E)
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