SOLUTION: Rank the following data in increasing order and find the positions and values of both the 21st percentile and 92nd percentile. Please show all of your work. 9 4 8 0 6

9   4   8   0   6   1   3   2   1   0   8   0

"Increasing order" means "arrange them smallest to largest":

0   0   0   1   1   2   3   4   6   8   8   9

To find the kth = 21st percentile 

Step 1. Count the number of numbers.  [There are n=12]

Step 2. Take 21% of 12.   [Get 2.52] 

Step 3. Round this up to the next higher whole numbe, since 
        this is not a whole number.  Get 3.

Step 4. The 3rd value, which is 0 is the 21st percentile.

Answer = 0
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To find the kth = 92nd percentile 

Step 1. Count the number of numbers.  [There are n=12]

Step 2. Take 92% of 12.   [Get 11.04] 

Step 3. Round this up to the next higher whole numbe, since 
        this is not a whole number.  Get 12.

Step 4. The 12th value, which is 9, is the 92nd percentile.

answer: 9

Edwin