My name: Gary
I am a student.
The level of the question: College.
I had several questions regarding a percentile grid, and I just wanted
to
make sure I answered them correctly.
Table 1
Selected percentiles for family income in the US in 1992
1 $1,300
10 $10,200
25 $20,100
50 $36,800
75 $58,100
90 $85,000
99 $151,800
Q. The percentage of families in Table 1 with incomes below $58,100
was
about? I put 50%.
Q. About 10% of the families in Table 1 had incomes below? I put $10,200.
Q. The percentage of families in Table 1 with incomes between $10,200
and
$85,000 was about? I put 85%.
Q. The percentage of families in Table 1 with incomes between $36,800
and
$58,000 was about? I put 25%.
Could you please verify for me that my answers are correct?
Thanks,
Gary
Hi Gary,
I drew a diagram to show the fiftieth percentile and the seventy-fifth percentile.
The fiftieth percentile is $36,800 so 50% of the area under the curve is to the left of $36,800 (the region shaded red). The seventy-fifth percentile is $58,100 so 75% of the area under the curve is to the left of $58,100. Hence the region shaded blue is 25% of the area. Hence the answer to the first question is 75%.
Penny