M7MBA wrote:The mean of twenty-five consecutive positive integers numbers is what percent of the total?
(A) 4%
(B) 5%
(C) 20%
(D) 25%
(E) Cannot be determined by the information provided.
The question stem asks for the following value:
(mean)/(sum) * 100.
For any evenly spaced set:
Sum = (count)(mean).
Here, there are 25 consecutive integers, implying a count of 25.
Case 1: mean = 20
In this case:
sum = (count)(mean) = (25)(20) = 500.
(mean/sum) * 100 = (20/500) * 100 = 4%.
Case 2: mean = 40
In this case:
sum = (count)(mean) = (25)(40) = 1000.
(mean/sum) * 100 = (40/1000) * 100 = 4%.
In each case, the mean is 4% of the sum.
The correct answer is
A.
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