For the data set below, find the third quartile.

$\begin{array} { l l l l l l l l l l l }
\hline 70 & 70 & 76 & 66 & 76 & 75 & 61 & 67 & 60 & 71 & 74 \
\hline
\end{array}$

A) 66
B) 52.5
C) 60
D) 75

Question

For the data set below, find the third quartile.

$\begin{array} { l l l l l l l l l l l } 
\hline 70 & 70 & 76 & 66 & 76 & 75 & 61 & 67 & 60 & 71 & 74 \
\hline
\end{array}$

A) 66
B) 52.5
C) 60
D) 75

Quizplus · Accepted Answer

To find the third quartile, we need to first find the median (second quartile). Since we have an even number of data points, we take the average of the two middle values:

(70 + 70 + 76 + 66 + 76 + 75) / 6 = 73.17

The median is 73.17. To find the third quartile, we need to find the median of the upper half of the data set.

The upper half of the data set is: 74, 75, 76, 76

Taking the average of the two middle values:

(75 + 76) / 2 = 75.5

Therefore, the third quartile is 75.5, which is closest to choice D.

For the Data Set Below, Find the Third Quartile 7070766676756167607174\begin{array} { l l l l l l l l l l l } \hline 70 & 70 & 76 & 66 & 76 & 75 & 61 & 67 & 60 & 71 & 74 \\\hline\end{array}70​70​76​66​76​75​61​67​60​71​74​​

For the Data Set Below, Find the Third Quartile $\begin{array} { l l l l l l l l l l l } \hline 70 & 70 & 76 & 66 & 76 & 75 & 61 & 67 & 60 & 71 & 74 \\\hline\end{array}$