For the data set below, find the 30th percentile.
$\begin{array} { r r r r r }
\hline 64 & 95 & 74 & 70 & 32 \
58 & 24 & 46 & 25 & 17 \
59 & 51 & 7 & 60 & 36 \
67 & 67 & 54 & 33 & 60 \
\hline
\end{array}$
A)34.5
B)30
C)36
D)33

Question

For the data set below, find the 30th percentile.
 $\begin{array} { r r r r r } 
\hline 64 & 95 & 74 & 70 & 32 \
58 & 24 & 46 & 25 & 17 \
59 & 51 & 7 & 60 & 36 \
67 & 67 & 54 & 33 & 60 \
\hline
\end{array}$
A)34.5
B)30
C)36
D)33

Quizplus · Accepted Answer

To find the 30th percentile, first, arrange the data in ascending order: 7, 17, 24, 25, 32, 33, 36, 46, 51, 54, 58, 59, 60, 60, 64, 67, 67, 70, 74, 95. With 20 data points, the 30th percentile position is calculated as $30\% \times 20 = 6$. Since this is a whole number, the 30th percentile is the average of the 6th and 7th values in the ordered list, which are 33 and 36, respectively. Thus, the 30th percentile is $(33 + 36) / 2 = 34.5$.

For the Data Set Below, Find the 30th Percentile A)345 B)30 C)36 D)33

For the Data Set Below, Find the 30th Percentile A)345
B)30
C)36
D)33