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# In a certain set the average (arithmetic mean) is known to be 15 and

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Math Expert
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In a certain set the average (arithmetic mean) is known to be 15 and  [#permalink]

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13 Dec 2016, 07:08
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80% (00:56) correct 20% (00:59) wrong based on 55 sessions

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In a certain set the average (arithmetic mean) is known to be 15 and the standard deviation is known to be 4. Which of the following values is within the 1.5 standard deviations of the mean?

A. 4
B. 8
C. 10
D. 22
E. 25

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Re: In a certain set the average (arithmetic mean) is known to be 15 and  [#permalink]

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15 Dec 2016, 21:13
1
Given Avg=15 and SD=4
To find 1.5 SD, (4*1.5=6)
Lower bound: 15-6=9
Upper bound: 15+6=21
(C)
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Re: In a certain set the average (arithmetic mean) is known to be 15 and  [#permalink]

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16 Dec 2016, 08:29
1
Bunuel wrote:
In a certain set the average (arithmetic mean) is known to be 15 and the standard deviation is known to be 4. Which of the following values is within the 1.5 standard deviations of the mean?

A. 4
B. 8
C. 10
D. 22
E. 25

Range = Mean +1.5*SD

So, Range = 15 +1.5*4 ( ie, 9 to 21 )

Clearly among the given option only (C) 10 falls within the given range of values...

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Re: In a certain set the average (arithmetic mean) is known to be 15 and  [#permalink]

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16 Dec 2016, 09:42
Bunuel wrote:
In a certain set the average (arithmetic mean) is known to be 15 and the standard deviation is known to be 4. Which of the following values is within the 1.5 standard deviations of the mean?

A. 4
B. 8
C. 10
D. 22
E. 25

1.5 standard deviation of 4 is +/- 6
required= 15+6= 21 or 15-6=9
So the required value must lie between 9 and 21
C
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Re: In a certain set the average (arithmetic mean) is known to be 15 and  [#permalink]

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21 Jul 2018, 06:41
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Re: In a certain set the average (arithmetic mean) is known to be 15 and   [#permalink] 21 Jul 2018, 06:41
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