aditiniyer wrote:Given that the mean of Set A is 10, what is the range of two standard deviations above and below the mean?
(1) One standard deviation above and below the mean ranges from 7 to 13.
(2) The median of set A is 11.
Statement 1:
7 is one SD below the mean of 10.
13 is one SD above the mean of 10.
The result is the following:
7-----10-----13
Since 7 is 3 places below the mean and 13 is 3 places above the mean, SD=3.
Thus:
2 SDs below the mean is 3 places to the left of 7.
2 SDs above the mean is 3 places to the right of 13.
The result is the following:
4-----7-----10-----13-----
16
Range of the two values in blue = 16-4 = 12.
SUFFICIENT.
Statement 2:
Given the mean and median of set A, we cannot determine the set's SD.
INSUFFICIENT.
The correct answer is
A.
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