$$\begin{array}{l}
\begin{array} { | l | l | }
\hline \text { Temperature } & \text { Frequency } \
\hline 28.5 - 31.5 & 1 \
\hline 31.5 - 34.5 & 3 \
\hline 34.5 - 37.5 & 6 \
\hline 37.5 - 40.5 & 10 \
\hline 40.5 - 43.5 & 8 \
\hline 43.5 - 46.5 & 7 \
\hline
\end{array}\
\text { Using the following frequency distribution, find the } 40 ^ { \text {th } } \text { percentile. }
\end{array}$$
A) 37.2
B) 40.5
C) 36.4
D) 38.7

Question

$$\begin{array}{l}
\begin{array} { | l | l | } 
\hline \text { Temperature } & \text { Frequency } \
\hline 28.5 - 31.5 & 1 \
\hline 31.5 - 34.5 & 3 \
\hline 34.5 - 37.5 & 6 \
\hline 37.5 - 40.5 & 10 \
\hline 40.5 - 43.5 & 8 \
\hline 43.5 - 46.5 & 7 \
\hline
\end{array}\
\text { Using the following frequency distribution, find the } 40 ^ { \text {th } } \text { percentile. }
\end{array}$$
A) 37.2
B) 40.5
C) 36.4
D) 38.7

Quizplus · Accepted Answer

The 40th percentile corresponds to the cumulative frequency of 14.4. The cumulative frequency reaches 14 at the interval 37.5 - 40.5, so the 40th percentile falls within this interval. Using linear interpolation, the 40th percentile is approximately 38.7.

A) 372 B) 40

A) 372
B) 40