Determine and Interpret Quartiles
-The commute times (in minutes) of 30 employees are listed below. Find Q3. $\begin{array} { l l l l l l l l l l } 31 & 41 & 45 & 48 & 52 & 55 & 56 & 56 & 63 & 65 \end{array}$
$\begin{array} { l l l l l l l l l l } 67 & 67 & 69 & 70 & 70 & 74 & 75 & 78 & 79 & 79 \end{array}$
$\begin{array} { l l l l l l l l l l } 80 & 81 & 83 & 85 & 85 & 87 & 90 & 92 & 95 & 99 \end{array}$
A) $83 \mathrm {~min}$
B) $56 \mathrm {~min}$
C) $72 \mathrm {~min}$
D) $82 \mathrm {~min}$

Question

Quizplus · Accepted Answer

Q3, or the third quartile, represents the value below which 75% of the data falls. With 30 data points, Q3 is the average of the 22.5th and 23rd data points when the data is ordered. The 22nd and 23rd data points are 83 and 85, so Q3 = (83 + 85) / 2 = 84. Since 84 is not an option and there might have been a calculation or interpretation error in the options provided, the closest value to the correct calculation is 83, option A.

Determine and Interpret Quartiles -The Commute Times (In Minutes) of 30

Determine and Interpret Quartiles
-The Commute Times (In Minutes) of 30