Question 1199285: Consider various prices of groceries with the following data set of 20 prices. Find the price which corresponds to the 85th percentile:
2.4 2.7 2.7 2.7 3.2 3.4 3.6 3.8 4.0 4.0 5.0 5.6 9.2 9.6 13.0 13.6 18.6 26.7 31.3 41.5
Answer by MathLover1(20850)   (Show Source):
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 , ,,, , , , , ,, , , , , , , , , ,
To find the index of the  th percentile, apply the formula
 .........where  represents the index
Substituting in the values for this problem, we have
Since is an integer, the percentile is found by taking the average of the data values at positions  and  in the sorted data set. That is, positions  and  .
The value at the position  is , the value at the position is .
Therefore, the th percentile is: 
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