Question

thank you for viewing my question I seem to be having difficulty with this problem and need help thank you

Answer 1

First, sort the dataset from smallest to largest,

`15,18,18,18,19,19,22,22,22,23,23,24,29,31,34,43`

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,

`\begin{gathered} 22,23,23,24,29,31,34,43 \\ \Rightarrow median=(24+29)/(2)=26.5 \end{gathered}`

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.