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Which of the following is closest to the average (arithmetic mean) of
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13 Apr 2023, 05:13
13 Apr 2023, 05:13
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Question Stats:
51% (02:03) correct
48% (02:18) wrong based on 27 sessions
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Which of the following is closest to the average (arithmetic mean) of the 9 changes in the percentage of unemployed workers in Country X between consecutive years from 2000 to 2009?
A 0.4%
B 0.5%
C 0.6%
D 0.7%
E 1.3%
Re: Which of the following is closest to the average (arithmetic mean) of
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17 Apr 2023, 04:00
17 Apr 2023, 04:00
Expert Reply
OE
First, find the changes from year to year. Note that downward changes must be represented by negative values; making all the values positive yields distractor choice (E).
2000 to 2001: 0.5%
2001 to 2002: 1%
2002 to 2003: –1.5%
2003 to 2004: 2.5%
2004 to 2005: 1.5%
2005 to 2006: –1%
2006 to 2007: –0.5%
2007 to 2008: 0.5%
2008 to 2009: 2.5%
Then, calculate the average of these changes:
\(\frac{0.5+1-1.5+2.5+1.5-1-0.5+0.5+2.5}{9}=0.61\)
First, find the changes from year to year. Note that downward changes must be represented by negative values; making all the values positive yields distractor choice (E).
2000 to 2001: 0.5%
2001 to 2002: 1%
2002 to 2003: –1.5%
2003 to 2004: 2.5%
2004 to 2005: 1.5%
2005 to 2006: –1%
2006 to 2007: –0.5%
2007 to 2008: 0.5%
2008 to 2009: 2.5%
Then, calculate the average of these changes:
\(\frac{0.5+1-1.5+2.5+1.5-1-0.5+0.5+2.5}{9}=0.61\)
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