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For what values of x are both the mean (average) and the median weekly
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09 Jun 2021, 00:20
09 Jun 2021, 00:20
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Question Stats:
37% (03:15) correct
62% (02:24) wrong based on 89 sessions
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The table shows the weekly spending of a small business on office supplies.
GRE table.png [ 6.94 KiB | Viewed 5699 times ]
For what values of x are both the mean (average) and the median weekly spending for the entire period between 60 and 70 dollars?
Indicate all that apply.
A. 65
B. 72
C. 80
D. 83
E. 89
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Attachment:
GRE table.png [ 6.94 KiB | Viewed 5699 times ]
For what values of x are both the mean (average) and the median weekly spending for the entire period between 60 and 70 dollars?
Indicate all that apply.
A. 65
B. 72
C. 80
D. 83
E. 89
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
For what values of x are both the mean (average) and the median weekly
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09 Jun 2021, 07:40
09 Jun 2021, 07:40
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2
Bookmarks
Dollars spent : 0 , 12 , 54 , x , 88 , 185
We need such x, that mean & median is between 60 & 70
Mean = \(\frac{x + 339}{6}\)
\(60 < \frac{x + 339}{6} < 70\)
\(360 < x + 339 < 420\)
\(21 < x < 81\)
We now have three possibilities. \(65 , 72 , 80\)
Median = \(\frac{x + 54}{2}\)
\(60 < \frac{x + 54}{2} < 70\)
\(120 < x +54 < 140\)
\(66 < x < 86\)
72 , 80
Answer B C
We need such x, that mean & median is between 60 & 70
Mean = \(\frac{x + 339}{6}\)
\(60 < \frac{x + 339}{6} < 70\)
\(360 < x + 339 < 420\)
\(21 < x < 81\)
We now have three possibilities. \(65 , 72 , 80\)
Median = \(\frac{x + 54}{2}\)
\(60 < \frac{x + 54}{2} < 70\)
\(120 < x +54 < 140\)
\(66 < x < 86\)
72 , 80
Answer B C
General Discussion
Re: For what values of x are both the mean (average) and the median weekly
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13 Nov 2025, 09:57
13 Nov 2025, 09:57
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Thanks to another GRE Prep 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).
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