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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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If the mean of list A is 6.8 and the standard deviation is 3.6, then  [#permalink]

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New post Updated on: 28 Oct 2017, 00:15
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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, 19:41.
Last edited by Bunuel on 28 Oct 2017, 00:15, edited 1 time in total.
Merged topic and moved to PS forum.
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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then  [#permalink]

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New post Updated on: 27 Oct 2017, 21:23
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, 20:08.
Last edited by niks18 on 27 Oct 2017, 21:23, edited 1 time in total.
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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then  [#permalink]

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New post 27 Oct 2017, 20:31
1
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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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then  [#permalink]

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New post 27 Oct 2017, 20:56
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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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then  [#permalink]

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New post 27 Oct 2017, 21:17
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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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If the mean of list A is 6.8 and the standard deviation is 3.6, then &nbs [#permalink] 27 Oct 2017, 21:17
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