Family Values The American family's net worth, on average, rose about 6 percent from 2001 to 2004. But the median net worth-the midpoint that separates the top 50 percent from the lower 50 percent-barely rose, and remained less than one-fourth as large as the average. $500,000 400.000 300.000 200.000 Net worth of an American family 100.000 2001 2004 2001 2004 MEDIAN AVERAGE Source Federal Reserve The New York Times a) Why is the mean for each year so much larger than the

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Family Values
The American family's net worth, on
average, rose about 6 percent from
2001 to 2004. But the median
net worth-the midpoint
that separates the top
50 percent from the lower
50 percent-barely rose,
and remained less than
one-fourth as large as
the average.
$500.000
400.000
300.000
200.000
Net worth of an
American family
100,000
2001
2004
2001
2004
MEDIAN
AVERAGE
Source Federal Resarva
The New York Times
a) Why is the mean for each year so much larger than the corresponding median?
b) Between 2001 and 2004, the median American family's net worth remained unchanged.
However, the mean American family's net worth grew. What caused this to occur?
c) Based on skewness, was the mean the correct measure of center to use for discussing the
American family's net worth? Explain.
Transcribed Image Text:Family Values The American family's net worth, on average, rose about 6 percent from 2001 to 2004. But the median net worth-the midpoint that separates the top 50 percent from the lower 50 percent-barely rose, and remained less than one-fourth as large as the average. $500.000 400.000 300.000 200.000 Net worth of an American family 100,000 2001 2004 2001 2004 MEDIAN AVERAGE Source Federal Resarva The New York Times a) Why is the mean for each year so much larger than the corresponding median? b) Between 2001 and 2004, the median American family's net worth remained unchanged. However, the mean American family's net worth grew. What caused this to occur? c) Based on skewness, was the mean the correct measure of center to use for discussing the American family's net worth? Explain.
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