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Word Translation involving Statistics

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by Bens4vcobra » Fri Jun 24, 2011 5:36 am
Ann - $450,000
Bob - $360,000
Cal - $190,000
Dot - $210,000
Ed - $680,000

The table above shows the toal sales in July for 5 salespeople at Acme Truck sales. It was discovered 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 was $330,000. What was the value of the incorrectly recorded sale?

I'm having trouble with this one primarily due to the lengthy explanation/set up.
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by vishu1414 » Fri Jun 24, 2011 5:51 am
[450,000 -330,000]= 120,000?
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by Bens4vcobra » Fri Jun 24, 2011 7:47 am
vishu1414 wrote:[450,000 -330,000]= 120,000?
That is correct. But what indicators led you to perform that operation?
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by Ozlemg » Fri Jun 24, 2011 9:53 am
yes 120.000

Before correction :

A:450k
B:360k
C:190k
D:210k
E:680k

aFTER CORRECTION:

A:450k-x
B:360k
C:190k+x
D:210k
E:680k

x : the amount of money miscalculated!

New Median is 330 and because the number of people are odd, median will be the number in the middle.
Before correction, median was 360 when we ranked them smaller to greater.
If you look closely, you realise 450 turnes out to be the new median when X is reduced. So, 450-330= 120.

I hope this helps!



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