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# The list shown consist of the times, in seconds, that it

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Manager
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The list shown consist of the times, in seconds, that it [#permalink]

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21 Aug 2007, 17:27
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Difficulty:

55% (hard)

Question Stats:

57% (02:38) correct 43% (01:48) wrong based on 180 sessions

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70,75, 80,85,90,105,105,130,130,130

The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.

A. 1
B. 2
C. 3
D. 4
E. 5
[Reveal] Spoiler: OA
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21 Aug 2007, 17:39
forgmat wrote:
70,75, 80,85,90,105,105,130,130,130

The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.

a. 1
b.2
c.3
d.4
e.5

I think the key here is to know what "1 standard deviation" means.
1 standard deviation = 1 * 22.4 = 22.4
Now, find the average:
Avg = (70+75+80+85+90+105+105+130+130+130)/10 = 1000/10 = 100
So rage should be 100 +/- 22.4 = 77.6 and 122.4
Looks like E is the answer.
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21 Aug 2007, 18:46
Got 5 people:

1) Median is (90+105)/2 = 97.5
2) St. deviation: 97.5 +/- 22.4 = 75,1 from the left, and 119,9 from the right.
3) From the left we have 2 child (70 and 75), and from the right - 3 child (130, 130 and 130)

Ans. E

P.S> I can't see how the answ. can be 2, if assw. is 2 - it logically could be only 70 and 75, but if you add 2 st. dev. = 44.8 to 80, you'll get 124.8 - so 3*130 still do not fit in this pattern %)

Last edited by Whatever on 21 Aug 2007, 18:50, edited 1 time in total.
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21 Aug 2007, 18:47
forgmat wrote:
sorry just found a link where this question was posted earlier on gmat club. no the answer is 2

I think I see the point here. Although five people are in the "range", three are above, and two are below. So the answer is 2, I guess that's what the question is asking for.
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Re: 70,75, 80,85,90,105,105,130,130,130 The list consists of [#permalink]

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20 Jan 2012, 01:02
how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
I din get the question can any1 explain
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Re: 70,75, 80,85,90,105,105,130,130,130 The list consists of [#permalink]

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20 Jan 2012, 02:52
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ruturajp wrote:
how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
I din get the question can any1 explain

70 75 80 85 90 105 105 130 130 130

The list shown consist of the times, in seconds, that it took each of 10 school children to run a distance of 400 meter. If the SD of ten running times is 22.4 seconds, rounded to nearest tenth of second, how many of the 10 running times are more than one SD below the mean of the 10 running times?

A. one
B. two
C. three
D. four
E. five

"How many of the 10 running times are more than one SD below the mean" means how many data points from given 10 are less than mean-1SD.

We are given that SD=22.4, so we should find mean --> mean=100 --> there are only 2 data points below 100-22.4=77.6, namely 70 and 75.

Also discussed here: 70-75-80-85-90-105-105-130-130-130-the-list-shown-consist-of-100361.html

Similar problems:
math-questions-mean-score-88502.html?hilit=below%20mean%20deviation
statistics-question-99221.html?hilit=below%20mean%20deviation#p764887

Hope it helps.
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Re: The list shown consist of the times, in seconds, that it [#permalink]

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23 Jul 2014, 09:16
Hello from the GMAT Club BumpBot!

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Re: The list shown consist of the times, in seconds, that it [#permalink]

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22 Jan 2016, 07:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: The list shown consist of the times, in seconds, that it   [#permalink] 22 Jan 2016, 07:54
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