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If the mean of list A is 6.8 and the standard deviation is 3.6, then

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ydmuley
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If the mean of list A is 6.8 and the standard deviation is 3.6, then [#permalink] New post  Updated on: 28 Oct 2017, 01:15
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If the mean of list A is 6.8 and the standard deviation is 3.6, then how many elements of list A are within 1 unit of standard deviation of the mean?

A = {2, 9, 2, 6, 9, 10, 7, 4, 5, 14}

A. 3
B. 4
C. 5
D. 6
E. 7
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Originally posted by ydmuley on 27 Oct 2017, 20:41.
Last edited by Bunuel on 28 Oct 2017, 01:15, edited 1 time in total.
Merged topic and moved to PS forum.
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niks18
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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then [#permalink] New post  Updated on: 27 Oct 2017, 22:23
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ydmuley wrote:
If the mean of list A is 6.8 and the standard deviation is 3.6, then how many elements of list A are within 1 unit of standard deviation of the mean?

A = {2, 9, 2, 6, 9, 10, 7, 4, 5, 14}

A. 3
B. 4
C. 5
D. 6
E. 7


No of elements within 1 st. deviation from mean are in the range

\((6.8−3.6)\) and \((6.8+3.6)\) i.e 1 st. deviation to the left of mean and 1 st. deviation to the right of mean

so no of elements in the range \(3.2\) to \(10.4=\) {4,5,6,7,9,9,10} \(=7\)

Option E

Originally posted by niks18 on 27 Oct 2017, 21:08.
Last edited by niks18 on 27 Oct 2017, 22:23, edited 1 time in total.
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neelam91
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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then [#permalink] New post  27 Oct 2017, 21:31
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ydmuley wrote:
If the mean of list A is 6.8 and the standard deviation is 3.6, then how many elements of list A are within 1 unit of standard deviation of the mean?

A = {2, 9, 2, 6, 9, 10, 7, 4, 5, 14}

A. 3
B. 4
C. 5
D. 6
E. 7


For example,
if IQ has an average of 50 and a standard deviation of 10,
and you have an IQ of 70,
then you are 2 standard deviations above the average

So this question is asked in (6.8-3.6) <= element < (6.8 + 3.6), how many of these elements are
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saba4010
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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then [#permalink] New post  27 Oct 2017, 21:56
Option E for me : the required nos should be within
6.8- 3.6 to 6.8+3.6
Thus seven nos out of the total nos given.

Saba

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chetan2u
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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then [#permalink] New post  27 Oct 2017, 22:17
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ydmuley wrote:
If the mean of list A is 6.8 and the standard deviation is 3.6, then how many elements of list A are within 1 unit of standard deviation of the mean?

A = {2, 9, 2, 6, 9, 10, 7, 4, 5, 14}

A. 3
B. 4
C. 5
D. 6
E. 7


Pl post it in correct forum that is PS and not DS.
Also it is not 700 level Q, involves straight calculations.
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ScottTargetTestPrep
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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then [#permalink] New post  09 May 2019, 18:23
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ydmuley wrote:
If the mean of list A is 6.8 and the standard deviation is 3.6, then how many elements of list A are within 1 unit of standard deviation of the mean?

A = {2, 9, 2, 6, 9, 10, 7, 4, 5, 14}

A. 3
B. 4
C. 5
D. 6
E. 7



One standard deviation above the mean is 6.8 + 3.6 = 10.4, and one standard deviation below the mean is 6.8 - 3.6 = 3.2.

Thus, we see that there are 7 elements (9, 6, 9, 10, 7, 4, 5) within one standard deviation of the mean.

Answer: E
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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then [#permalink] New post  02 Sep 2023, 00:48
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