First, sort the dataset from smallest to largest,
[tex]15,18,18,18,19,19,22,22,22,23,23,24,29,31,34,43[/tex]
Notice that there are 16 elements in the set.
b) The 75th percentile is equal to the median of the upper half of the sorted list; then,
[tex]\begin{gathered} 22,23,23,24,29,31,34,43 \\ \Rightarrow median=\frac{24+29}{2}=26.5 \end{gathered}[/tex]
Then, the 75th percentile is 26.5.
a) There are 16 elements in the data set, 10% of 16 is equal to 1.6 which is approximately 2; therefore, the 10th percentile is the 2nd element of the sorted list.
The 10th percentile is 18.
