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Rank the following data in increasing order and find the positions and values of both the 39th percentile and 73rd
5 5 0 0 9 6 8 9 2 6 3 8

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Rank the following data in increasing order and find the positions and values of both the 39th percentile and 73rd
5 5 0 0 9 6 8 9 2 6 3 8
Solution
Arranging the data in increasing order we get,
0 0 2 3 5 5 6 6 8 8 9 9
Here the value of n = 12.
For finding the 39th percentile, we choose k = 39.
Now, (nk)/100 = (12)(39)/100 = 4.68
Therefore, d(P39) = 5
Thus, P39 = 5th Value = 5

For finding the 73rd percentile, we choose k = 73.
Now, (nk)/100 = (12)(73)/100 = 8.76
Therefore, d(P73) = 9
Thus, P73 = 9th Value = 8

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