SOLUTION: Consider a sample with data values of 27, 25, 20, 19, 31, 35, 29, and 25. Compute the 20th, 25th, 65th, and 75th percentiles (to 1 decimal, if decimals are necessary). 20th perc

Question 1122309: Consider a sample with data values of 27, 25, 20, 19, 31, 35, 29, and 25. Compute the 20th, 25th, 65th, and 75th percentiles (to 1 decimal, if decimals are necessary).
20th percentile
25th percentile

65th percentile

75th percentile

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

For a set containing 8 data points, there is probably universal agreement on the median (50th percentile) -- it's the average of the two middle values.

For the same size data set, I have seen different definitions of how to find the 25th and 75th percentile numbers, and the different definitions get different answers.

I have never seen any definitions of how to find percentiles like 20th or 65th for a set containing only 8 data points.

Presumably this question came from a textbook or some other resource. Use the method defined in that resource to find the answers.
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