For the distribution in the following table, what is the percentile rank for X = 32? $\begin{array}{cc}
X & C \% \
\hline 30-34 & 100 \% \
25-29 & 90 \% \
20-24 & 60 \% \
15-19 & 20 \%
\end{array}$

A) $ 92 \% $
B) $ 92.5 \% $
C) $ 95 \% $
D) $ 97.5 \% $

Question

For the distribution in the following table, what is the percentile rank for X = 32? $\begin{array}{cc}
X & C \% \
\hline 30-34 & 100 \% \
25-29 & 90 \% \
20-24 & 60 \% \
15-19 & 20 \%
\end{array}$

A) $ 92 \% $
B) $ 92.5 \% $
C) $ 95 \% $
D) $ 97.5 \% $

Quizplus · Accepted Answer

The percentile rank for X = 32 is calculated by considering the cumulative percentage up to the previous interval (90%) and adding the proportion of the current interval (30-34) that includes X = 32. Since 32 is 2/5 of the way through the interval, we add 2/5 of 10% (the difference between 100% and 90%) to 90%, resulting in 94%.

For the Distribution in the Following Table, What Is the Percentile