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TAGS: Director  Joined: 07 Jan 2018
Posts: 694
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A research computed the mean, the median and the standard de [#permalink]
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Question Stats: 54% (00:34) correct 45% (00:19) wrong based on 35 sessions
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 GRE Instructor Joined: 10 Apr 2015
Posts: 2572
Followers: 91

Kudos [?]: 2749  , given: 40

Re: A research computed the mean, the median and the standard de [#permalink]
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Expert's post
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.

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Intern Joined: 19 Mar 2018
Posts: 25
Followers: 1

Kudos [?]: 9 , given: 11

Re: A research computed the mean, the median and the standard de [#permalink]
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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