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An analyst computed the mean, the median, and the standard deviation
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27 Oct 2021, 05:37
27 Oct 2021, 05:37
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An analyst computed the mean, the median, and the standard deviation for a set of 10 economic predictions. If 2.5 were to be added to the highest of the predictions, which of these three statistics would change?
(A) The mean only
(B) The median only
(C) The standard deviation only
(D) The mean and the median
(E) The mean and the standard deviation
(A) The mean only
(B) The median only
(C) The standard deviation only
(D) The mean and the median
(E) The mean and the standard deviation
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Re: An analyst computed the mean, the median, and the standard deviation
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30 Oct 2021, 10:07
30 Oct 2021, 10:07
1
When only one the highest number in the set is changed then both the mean and the standard deviation will change
Median : It will be average of middle two terms. So this will not change as the middle two terms have not changed
Mean: Sum of all numbers / Total number of numbers. Sum of all numbers has changed and Total numbers are still 10. So mean will change
Standard Deviation: One number has changed and mean is changed so SD will also change.
So, Answer will be E
Hope it helps!
Watch the following video to Learn the Basics of Statistics
Median : It will be average of middle two terms. So this will not change as the middle two terms have not changed
Mean: Sum of all numbers / Total number of numbers. Sum of all numbers has changed and Total numbers are still 10. So mean will change
Standard Deviation: One number has changed and mean is changed so SD will also change.
So, Answer will be E
Hope it helps!
Watch the following video to Learn the Basics of Statistics
gmatclubot
Re: An analyst computed the mean, the median, and the standard deviation [#permalink]
30 Oct 2021, 10:07
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