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# A researcher computed the mean, the median, and the standard

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Manager
Joined: 03 Mar 2007
Posts: 157
A researcher computed the mean, the median, and the standard  [#permalink]

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17 Mar 2007, 12:51
3
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77% (00:23) correct 23% (00:39) wrong based on 270 sessions

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A researcher 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

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-researcher-computed-the-mean-the-median-and-the-standard-134893.html
SVP
Joined: 01 May 2006
Posts: 1722
Re: A researcher computed the mean, the median, and the standard  [#permalink]

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17 Mar 2007, 13:03
1
D it is yes

A standart deviation never changes when a constant is added to all elements of a same set

The construction of the standart deviation is made on the idea that we observe how far the data are from the average. Thus, the distance will always remain the same if we add a constant to every data present in the set.

To make an analogy, we can imagine an spacecraft. All dimensions of it remain the same no matter where we are. The height and the width will be exactly the same if we are at 100 km from the surface of the earth or at 2 000 km from it. The position of its center of gravity will change compared between the 2 distance (it's the average) but all parts of it will keep the same distance to its center of gravity (similarly to the standart deviation).

Manager
Joined: 03 Mar 2007
Posts: 157
Re: A researcher computed the mean, the median, and the standard  [#permalink]

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17 Mar 2007, 17:37
1
A researcher 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

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D
Math Expert
Joined: 02 Sep 2009
Posts: 55732
Re: A researcher computed the mean, the median, and the standard  [#permalink]

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08 Dec 2014, 03:09
1
salr15 wrote:
A researcher 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

If we add or subtract a constant to each term in a set the standard deviation will not change..

If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-researcher-computed-the-mean-the-median-and-the-standard-134893.html
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Re: A researcher computed the mean, the median, and the standard  [#permalink]

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18 Aug 2018, 03:08
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Re: A researcher computed the mean, the median, and the standard   [#permalink] 18 Aug 2018, 03:08
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