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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