SOLUTION: Rank the following data in increasing order and find the position and value of the 51st percentile. Please show all of your work.
9 9 0 0 0 8 1 7 5 9 0
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9 9 0 0 0 8 1 7 5 9 0
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The 6th term is the 50th percentile, while the 7th term is the 58th percentile, so the 51st up to the 57th percentiles must be between the 6th and the 7th terms. We can just let them all equal the median, which is 5.5. Note that the 51st up to the 57th percentiles are not elements of the data set itself.