Quandaries and Queries
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
Q. The percentage of families in Table 1 with incomes below $58,100
Could you please verify for me that my answers are correct?
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%.