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26 Jul 2007, 03:18
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The table below shows the total sales record in july for the 5 sales people at Acme truck sales. It wasdiscovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected,Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was 330,000.What was the value of the incorrectly recorded sale?
Ann----450,000
Bob----360,000
Cal-----190,000
Dot-----210,000
Ed------680,000
1)30,000 2) 48,000 3) 90,000 4) 120,000 5) 140,000
Please explain.
Ann----450,000
Bob----360,000
Cal-----190,000
Dot-----210,000
Ed------680,000
1)30,000 2) 48,000 3) 90,000 4) 120,000 5) 140,000
Please explain.
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26 Jul 2007, 04:11
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johnycute
It should be D.
Median of incorrect sales (190000, 210000, 360000, 450000, 680000) = 360000.
Since, new median is 330000, the Ann's sales figure should be 330000. Therefore, value of incorrectly recorded sales = 450000-330000= 120000.
(Cal's corrected sales figure will be 190000+120000=310000, which is still less than Amy's).
26 Jul 2007, 10:32
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Option 4 (aka D)
I drew it out but re-arranged order for simplistic viewing:
(Original, in error)
E-680
A-450
B-360
D-210
C-190
Above, the median is 360.
For the revised chart, we know only A and C changed and yet the median is now 330 but that A>C.
Only focus on changing values for A and C, where A provides the new median value. C cannot provide the new median value b/c it is, by definition, less than A.
450-330 = 120.
(check your answer: 120+190 = 310)
New chart should look like:
E-680
B-360
A-330
C-310
D-210
I drew it out but re-arranged order for simplistic viewing:
(Original, in error)
E-680
A-450
B-360
D-210
C-190
Above, the median is 360.
For the revised chart, we know only A and C changed and yet the median is now 330 but that A>C.
Only focus on changing values for A and C, where A provides the new median value. C cannot provide the new median value b/c it is, by definition, less than A.
450-330 = 120.
(check your answer: 120+190 = 310)
New chart should look like:
E-680
B-360
A-330
C-310
D-210
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
