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Test Tomorrow: need help withThis GMATPREP Q(MEAN, Median,

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Intern
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Joined: 19 Dec 2008
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Schools: Accounting
Test Tomorrow: need help withThis GMATPREP Q(MEAN, Median, [#permalink]

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New post 25 Feb 2009, 07:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

96 84 80 70 48($)
4 7 4 3 2 (days)

A student worked for 20 Days. For each amount shown above in the first row, the second row gives the amount of money earned in dollars in that day. What is the median amount of money that she earned per day for the 20 days?

Options:
96
84
80
70
48

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Joined: 03 Aug 2006
Posts: 115

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Schools: Haas School of Business
Re: Test Tomorrow: need help withThis GMATPREP Q(MEAN, Median, [#permalink]

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New post 25 Feb 2009, 12:52
Arranging the dollars for 20 days:
48,48,70,70,70,80,80,80,80,84,84,84,84,84,84,84,96,96,96,96

As 20 is even take values from 10th and 11th position and divide by 2 to find the median.
84+84/2 = 84

Answer: 84

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Current Student
User avatar
Joined: 03 Aug 2006
Posts: 115

Kudos [?]: 295 [0], given: 3

Location: Next to Google
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Re: Test Tomorrow: need help withThis GMATPREP Q(MEAN, Median, [#permalink]

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New post 25 Feb 2009, 12:59
Adding to the previous post..if you were trying to find the mean instead you would use the following method:

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

1. Guesstimate an average: Let's pick 80
Now subtract 80 from each number and multiply it by the number of days

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

2. Add them (64-64+0+28-30) = -2
3. Divide the result by 20 days =-2/20 = -0.1

Add this number to the original guesstimate to get the mean (avg) = 80+(-0.1) = 80 - 0.01 = 79.9

Last edited by nookway on 25 Feb 2009, 13:00, edited 1 time in total.

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Current Student
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Joined: 03 Aug 2006
Posts: 115

Kudos [?]: 295 [1], given: 3

Location: Next to Google
Schools: Haas School of Business
Re: Test Tomorrow: need help withThis GMATPREP Q(MEAN, Median, [#permalink]

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New post 25 Feb 2009, 13:00
1
This post received
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I just realized this has been asked before in this thread.
t75803-ps-looking-for-easy-calculation-trick

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Re: Test Tomorrow: need help withThis GMATPREP Q(MEAN, Median, [#permalink]

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New post 25 Feb 2009, 15:43
Thaanks nookway. u r the best

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Re: Test Tomorrow: need help withThis GMATPREP Q(MEAN, Median,   [#permalink] 25 Feb 2009, 15:43
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Test Tomorrow: need help withThis GMATPREP Q(MEAN, Median,

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