The Department of Environmental Protection measured the volume of water in 10 similarly sized reservoirs in State X and found that the standard deviation of their volumes at the start of the year was a certain value. Was the standard deviation of those 10 volumes the same at the end of the year?
(1) During the year the volume of water in each reservoir decreased by 5 million cubic gallons.
(2) During the year the volume of water in each reservoir decreased by 20%.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient to answer the question asked
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed
again same IMO -d,a??
The Department of Environmental Protection measured the vo
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Statement 1: As the new elements are (old element - some constant), the standard deviation won't change.varun289 wrote:The Department of Environmental Protection measured the volume of water in 10 similarly sized reservoirs in State X and found that the standard deviation of their volumes at the start of the year was a certain value. Was the standard deviation of those 10 volumes the same at the end of the year?
(1) During the year the volume of water in each reservoir decreased by 5 million cubic gallons.
(2) During the year the volume of water in each reservoir decreased by 20%.
Sufficient
Statement 2: As the new elements are (some constant)*(old element), the new standard deviation will be (same constant)*(old standard deviation)
Now, if the old standard deviation is zero, then new standard deviation will be zero too. But if the old standard deviation is some nonzero quantity, the new standard deviation will be different.
Not sufficient
The correct answer is A.
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