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24 May 2024, 00:57
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
22% (00:50) correct
77% (02:48) wrong based on 9 sessions
History
Date
Time
Result
Not Attempted Yet
If it were discovered that the value of imports shown for 2007 was incorrect and should have been $5 billion instead, then the average (arithmetic mean) value of imports per year for the 10 years shown would have been approximately how much less?
A. $200 million
B. $50 million
C. $20 million
D. $7 million
E. $5 million
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06 Jun 2024, 01:04
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Given: The graph shows $7 billion for 2007, when it should actually be $5 billion.
One way to solve this question is to estimate the imports for all 10 years (with $7 billion for 2007), and then find the average.
Then estimate the imports for all 10 years (with $5 billion for 2007), and then find the average
Then find the difference between those averages.
This is more work than we need to do.
Since 9 of the values don't change, we can let x = the sum of those 9 values.
Now we'll find two averages:
Average value when we use $7 billion for 2007 = (x + 7)/10
Average value when we use $5 billion for 2007 = (x + 5)/10
So, the DIFFERENCE = (x + 7)/10 - (x + 5)/10
= (x/10 + 7/10) - (x/10 + 5/10)
= 2/10 (billion dollars)
= 200 million dollars
Answer: A
One way to solve this question is to estimate the imports for all 10 years (with $7 billion for 2007), and then find the average.
Then estimate the imports for all 10 years (with $5 billion for 2007), and then find the average
Then find the difference between those averages.
This is more work than we need to do.
Since 9 of the values don't change, we can let x = the sum of those 9 values.
Now we'll find two averages:
Average value when we use $7 billion for 2007 = (x + 7)/10
Average value when we use $5 billion for 2007 = (x + 5)/10
So, the DIFFERENCE = (x + 7)/10 - (x + 5)/10
= (x/10 + 7/10) - (x/10 + 5/10)
= 2/10 (billion dollars)
= 200 million dollars
Answer: A
17 Aug 2024, 13:07
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Official Explanation
To answer this question, you do not need to compute either of the two 10-year averages referred to in the question; you just need to calculate the difference between the two averages.
The average value of imports for the 10 years shown in the graph is found by adding the 10 values and then dividing the sum by 10. The value of imports in 2007 is $7 billion. If that amount were $5 billion instead, then the sum of the values would be $2 billion less. If the sum were $2 billion less than what it was, then the average would decrease by 2 billion divided by 10, or 2,000,000,000/10=200,000,000.
The average would therefore be $200 million less, and the correct answer is Choice A.
To answer this question, you do not need to compute either of the two 10-year averages referred to in the question; you just need to calculate the difference between the two averages.
The average value of imports for the 10 years shown in the graph is found by adding the 10 values and then dividing the sum by 10. The value of imports in 2007 is $7 billion. If that amount were $5 billion instead, then the sum of the values would be $2 billion less. If the sum were $2 billion less than what it was, then the average would decrease by 2 billion divided by 10, or 2,000,000,000/10=200,000,000.
The average would therefore be $200 million less, and the correct answer is Choice A.
