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A research computed the mean, the median and the standard de

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A research computed the mean, the median and the standard de [#permalink] New post 04 Sep 2018, 23:48
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A research computed the mean, the median and the standard deviation for a set of performance scores. If 5 were to be added to each score, 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

src: orbit test prep
[Reveal] Spoiler: OA
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Re: A research computed the mean, the median and the standard de [#permalink] New post 08 Sep 2018, 08:32
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amorphous wrote:
A research computed the mean, the median and the standard deviation for a set of performance scores. If 5 were to be added to each score, 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

src: orbit test prep


Let's test a set of performance scores.

Let's say the scores are {4, 4, 4}
Here the median = 4, the mean = 4 and the standard deviation = 0

When we add 5 to each score, we get the NEW set {9, 9, 9}
Here the median = 9, the mean = 9 and the standard deviation = 0

Notice that the mean and median changed, but the standard deviation did NOT change.

Answer: D

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: A research computed the mean, the median and the standard de [#permalink] New post 13 Sep 2018, 12:32
Mean and Median.
Can even try this out --> 2(5 scores) = 10/ 5 = Mean is 2. Me = Mean = 2. SD = 0
adding 5 --> (2+5)(5) --> 35 --> 35/5 -- mean is 7, Me --> 7+7/2 = 7 SD = doesn't change
Re: A research computed the mean, the median and the standard de   [#permalink] 13 Sep 2018, 12:32
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A research computed the mean, the median and the standard de

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