data values

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data values

by beater » Mon Sep 29, 2008 4:50 pm
The results of a certain experiment included 6 data values that were all multiples of the same number c, namely, c, 8c, 2c, 5c, 4c, and 4c. Was the average (arithmetic mean) of the 6 data values greater than 8?
(1) c < 4
(2) c > 2

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Re: data values

by Morgoth » Mon Sep 29, 2008 5:05 pm
beater wrote:The results of a certain experiment included 6 data values that were all multiples of the same number c, namely, c, 8c, 2c, 5c, 4c, and 4c. Was the average (arithmetic mean) of the 6 data values greater than 8?
(1) c < 4
(2) c > 2
c+8c+2c+5c+4c+4c / 6 > 8
24c /6 > 8
4c > 8
c > 2 ?

Statement (1)
c < 4, c could be greater than 2, c could be less than 2. Insufficient.

Statement (2)
c>2, we needed exactly this. Sufficient.

Thus, B.

OA?