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A set has exactly five consecutive positive integers starti
[#permalink]
30 May 2018, 01:44

1

Question Stats:

A set has exactly five consecutive positive integers starting with 1. What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?

(A) 5

(B) 8.5

(C) 12.5

(D) 15.2

(E) 16.66

(A) 5

(B) 8.5

(C) 12.5

(D) 15.2

(E) 16.66

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4805**

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Re: A set has exactly five consecutive positive integers starti
[#permalink]
31 May 2018, 06:53

1

Expert Reply

The set is {1,2,3,4,5}.

Average of the set is \(\frac{1+2+3+4+5}{5}=3\).

When we remove 5 the largest number.

Average is \(1+2+3+4/4=2.5\).

% reduction is \(\frac{3-2.5}{3}=\frac{0.5}{3}=16.666%\).

_________________

Average of the set is \(\frac{1+2+3+4+5}{5}=3\).

When we remove 5 the largest number.

Average is \(1+2+3+4/4=2.5\).

% reduction is \(\frac{3-2.5}{3}=\frac{0.5}{3}=16.666%\).

_________________

Sandy

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