tom09b wrote:
In a certain set of five numbers the median is 200. Is the range greater than 80?
(1) The average (arithmetic mean) of the numbers is 240
(2) Three of the numbers in the set are equal
Given: In a certain set of five numbers the median is 200.
Asked: Is the range greater than 80?
(1) The average (arithmetic mean) of the numbers is 240
Sum of 5 numbers = 240 * 5 = 1200
For minimum range
Let the numbers be {200,200,200,x,x}
2x = 600
x = 300
Minimum Range = 300-200=100>80
SUFFICIENT
(2) Three of the numbers in the set are equal
Case 1: Let the numbers be {200,200,200,x,y}
Range = y-200
But value of y is not provided.
Case 2: Let the numbers be {x,y,200,200,200}
Range = 200-x
But value of x is not provided.
NOT SUFFICIENT
IMO A
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Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com