Problem

Example: Given the data set below, find the following:
\[
\begin{array}{ll}
1 & 03356 \\
2 & 234 \\
3 & 25668 \\
4 & 0123468 \\
5 & 1233677789 \\
6 & 00257
\end{array}
\]
h. percentile 67
i.

Answer

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Answer

Final Answer: The 67th percentile of the given data set is \(\boxed{123468}\)

Steps

Step 1 :Given the data set: 234, 257, 3356, 25668, 123468, 1233677789

Step 2 :Sort the data in ascending order

Step 3 :The percentile of a set of data is the value below which a certain percent of the data fall. So, the 67th percentile is the value below which 67% of the data fall

Step 4 :Find the index of the 67th percentile by multiplying 67% times the total number of data points. If this index is not an integer, we round up to the nearest whole number. This is the index of the 67th percentile

Step 5 :The index is 4

Step 6 :The 67th percentile of the given data set is the value at index 4

Step 7 :Final Answer: The 67th percentile of the given data set is \(\boxed{123468}\)

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