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Which of the following data sets has the third largest standard deviat

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Which of the following data sets has the third largest standard deviat [#permalink]

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Which of the following data sets has the third largest standard deviation?

(A) {1, 2, 3, 4, 5}
(B) {2, 3, 3, 3, 4}
(C) {2, 2, 2, 4, 5}
(D) {0, 2, 3, 4, 6}
(E) {-1, 1, 3, 5, 7}
[Reveal] Spoiler: OA

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Re: Which of the following data sets has the third largest standard deviat [#permalink]

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New post 19 May 2016, 02:32
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Bunuel wrote:
Which of the following data sets has the third largest standard deviation?

(A) {1, 2, 3, 4, 5}
(B) {2, 3, 3, 3, 4}
(C) {2, 2, 2, 4, 5}
(D) {0, 2, 3, 4, 6}
(E) {-1, 1, 3, 5, 7}



Hi,

since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..

The SIMILARITY is - the SUM of all sets is equal =15..
and hence average = 15/5 = 3...

Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..
clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..
Next is D, which has a range of 6-0 or 6..
and THIRD is A

ans A
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Which of the following data sets has the third largest standard deviat [#permalink]

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New post 22 Jun 2017, 00:20
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Bunuel wrote:
Which of the following data sets has the third largest standard deviation?

(A) {1, 2, 3, 4, 5}
(B) {2, 3, 3, 3, 4}
(C) {2, 2, 2, 4, 5}
(D) {0, 2, 3, 4, 6}
(E) {-1, 1, 3, 5, 7}


In simple terms, standard deviation is the measure of the spread of the numbers around the mean. More the spread, higher the SD.
Just imagine how the numbers will be spread around the mean on the number line.

(A) {1, 2, 3, 4, 5}
Mean is 3.

____1__2__3__4__5_____

(B) {2, 3, 3, 3, 4}
Mean is 3.

______2__333__4_______

Tighter packed than A
B < A

(C) {2, 2, 2, 4, 5}
Mean is 3.

______222__3__4__5_____
Not as tight as B but tighter than A
B < C < A

(D) {0, 2, 3, 4, 6}
Mean is 3.

____0____2__3__4____6_____
More distant than A
B < C < A < D

(E) {-1, 1, 3, 5, 7}
Mean is 3.

____-1____1____3____5____7_____
More distant than D
B < C < A < D < E

So (A) has the third largest SD.

For more on this topic, check:
https://www.veritasprep.com/blog/2012/0 ... deviation/
https://www.veritasprep.com/blog/2012/0 ... n-part-ii/
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Which of the following data sets has the third largest standard deviat [#permalink]

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New post 02 Dec 2017, 06:20
I'm not sure if this approach is right but it would be great if some of the experts can throw some light here...

Size of the range(max element - min element) for each set

A : 5 -1 = 4
B : 4 - 2 =2
C: 5-2 = 3
D:6-0 = 6
E:7- -1 = 8

Number of elements is same for each set.
Based on the range size third largest SD would be set A

Is this approach right?
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Re: Which of the following data sets has the third largest standard deviat [#permalink]

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New post 05 Dec 2017, 19:22
All choices have the same mean: 3
Standard deviation:
A. 5 -3 or 3 -1 =2 Third highest
B. 4 - 3 or 3 - 2 = 1
C. 5 - 3 =2 or 3 - 2 = 1 so SD (1 and 2)
D. 6-3 or 3-0 =3 Second highest
E. 7-3 or 3 - (-1) =4 Highest

Hence, A is correct!

Kudos if it helps please!
Re: Which of the following data sets has the third largest standard deviat   [#permalink] 05 Dec 2017, 19:22
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Which of the following data sets has the third largest standard deviat

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