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# PS - Looking for easy calculation trick

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Manager
Joined: 17 Dec 2008
Posts: 162
PS - Looking for easy calculation trick [#permalink]

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16 Feb 2009, 21:14
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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4 students - 96
7 students - 84
4 S - 80
3 S - 70
2 S - 48

Whats median of 20S(students)?

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Director
Joined: 14 Aug 2007
Posts: 695
Re: PS - Looking for easy calculation trick [#permalink]

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16 Feb 2009, 21:22
84

try to arrange them in ascending order, we are intersted in 10th and 11th items, first 9: 4 S - 80 ,3 S - 70 , 2 S - 48, so 10th and 11th are from group of 84
VP
Joined: 05 Jul 2008
Posts: 1337
Re: PS - Looking for easy calculation trick [#permalink]

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20 Feb 2009, 18:10
I did not understand the Q. Can you please explain better?
Manager
Joined: 17 Dec 2008
Posts: 162
Re: PS - Looking for easy calculation trick [#permalink]

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20 Feb 2009, 18:14
I mistook median and mean... If it was mean...I was looking for an easy way to calculate it.
Current Student
Joined: 03 Aug 2006
Posts: 112
Re: PS - Looking for easy calculation trick [#permalink]

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21 Feb 2009, 02:17
1
There is a trick to calculate mean..it may or may not be the fastest based on the problem but its good to know. Using your example

4 x 96
7 x 84
4 x 80
3 x 70
2 x 48

Guesstimate the mean by looking at the numbers...in this case lets guess that the mean is 80.
Now subtract 80 from each number

4 x (96-80) = 4 x 16 = 64
7 x (84-80) = 7 x 4 = 28
4 x (80-80) = 4 x 0 = 0 0
3 x (70-80) = 3 x -10 = -30
2 x (48-80) = 2 x -32 = -64

Divide this by 20 =-2/20 = -0.1

Now go back to the guesstimate and add this number to it = 80+(-0.1) = 80 - 0.01 = 79.9

I have gone here in much detail to explain how it works but a lot of this can be done in your mind and find a mean much faster. Hope this helps.
CEO
Joined: 17 Nov 2007
Posts: 3486
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: PS - Looking for easy calculation trick [#permalink]

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21 Feb 2009, 02:37
1
Good point, nookway
+1

There is another trick that could help you to deal with mean:

Let's say we have 3 pencils at \$12.35 per pencil and 7 pencils at \$12.55 per pencil. What is the mean price?

delta = 12.55 - 12.35 = 0.20

mean = 12.35+7/(3+7)*0.20=12.35+0.14=12.49
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Manager
Joined: 17 Dec 2008
Posts: 162
Re: PS - Looking for easy calculation trick [#permalink]

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21 Feb 2009, 06:28
1
Awesome ones, nookway and walker! +1 each.
Walker, I believe your method is good for mixture problems as well?
CEO
Joined: 17 Nov 2007
Posts: 3486
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: PS - Looking for easy calculation trick [#permalink]

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21 Feb 2009, 07:09
Hm... You are right!
+1

Let's say we have 3 liters of 27.5% solution and 5 liters of 43.5% solutions. What is concentration of the mixture?

delta = 43.5-27.5 = 16.0

result = 27.5 + 5/(3+5)*16.0=37.5%
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VP
Joined: 05 Jul 2008
Posts: 1337
Re: PS - Looking for easy calculation trick [#permalink]

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21 Feb 2009, 09:18
walker wrote:
Hm... You are right!
+1

Let's say we have 3 liters of 27.5% solution and 5 liters of 43.5% solutions. What is concentration of the mixture?

delta = 43.5-27.5 = 16.0

result = 27.5 + 5/(3+5)*16.0=37.5%

This can be very useful. I have always hated the mixture problems.

Can you please explain how you are doing this and why you are calculating the delta?

How does this work, if there are three different solutions A,B,C?
CEO
Joined: 17 Nov 2007
Posts: 3486
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: PS - Looking for easy calculation trick [#permalink]

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22 Feb 2009, 14:29
1
Mixture 1:
x - amount
a - concentration

Mixture 2:
y - amount
b - concentration

Mixture 1+2:
z - amount
c - concentration

z= x+y
c = (a*x+b*y)/(x+y) = (a*x+a*y-a*y+b*y)/(x+y) = a + y/(x+y) * (b-a)

For A,B,C we can apply this method for any two, let's say A and B, and then we can apply the method for new mixture and C.
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Current Student
Joined: 03 Aug 2006
Posts: 112
Re: PS - Looking for easy calculation trick [#permalink]

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23 Feb 2009, 18:41
walker wrote:
Good point, nookway
+1

There is another trick that could help you to deal with mean:

Let's say we have 3 pencils at \$12.35 per pencil and 7 pencils at \$12.55 per pencil. What is the mean price?

delta = 12.55 - 12.35 = 0.20

mean = 12.35+7/(3+7)*0.20=12.35+0.14=12.49

That's a good one. Need to save it for future reference.

+ 1

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS - Looking for easy calculation trick   [#permalink] 23 Feb 2009, 18:41
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