The one way distances from work (in miles) of 30 employees are listed below. Find Q3. $$\begin{array} { l l l l l l l l l l }
25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \
29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \
33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38
\end{array}$$
A) 34 mi
B) 28 mi
C) 30.75 mi
D) 35 mi

Question

The one way distances from work (in miles) of 30 employees are listed below. Find Q3. $$\begin{array} { l l l l l l l l l l } 
25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \
29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \
33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38
\end{array}$$
A) 34 mi
B) 28 mi
C) 30.75 mi
D) 35 mi

Quizplus · Accepted Answer

Q3, the third quartile, is the median of the upper half of the data. For 30 data points, Q3 is the average of the 23rd and 24th values, which are 34 and 34.5, so Q3 = (34 + 34.5) / 2 = 34.25. However, since 34.25 is not an option, the closest choice is 34 mi.

The One Way Distances from Work (In Miles) of 30