Bunuel 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.
----------ASIDE----------------------
There's a nice rule that says,
"In a set where the numbers are equally spaced, the mean will equal the median."For example, in each of the following sets, the mean and median are equal:
{7, 9, 11, 13, 15}
{-1, 4, 9, 14}
{3, 4, 5, 6}
------------------
For this question, let x = first value
So, x+1 = second value
x+2 = third value
.
.
.
x+24 = last value
This means
x+12 is the median AND the mode
Since
x+12 = the mean of the 25 numbers, we can conclude that (25)(
x+12 ) = the SUM of the 25 numbers
The mean of twenty-five consecutive positive integers numbers is what percent of the total?We must convert (
x+12)/(25)(
x+12) to a PERCENT
(
x+12)/(25)(
x+12) = 1/25
= 4/100
= 4%
Answer: A
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