For the data set below, find the first quartile.

$\begin{array} { l l l l l l l l l l l }
\hline 72 & 79 & 62 & 76 & 77 & 60 & 65 & 75 & 76 & 67 & 67 \
\hline
\end{array}$

A) 60
B) 76
C) 48.5
D) 65

Question

For the data set below, find the first quartile.

$\begin{array} { l l l l l l l l l l l } 
\hline 72 & 79 & 62 & 76 & 77 & 60 & 65 & 75 & 76 & 67 & 67 \
\hline
\end{array}$

A) 60
B) 76
C) 48.5
D) 65

Quizplus · Accepted Answer

To find the first quartile, we need to find the median of the lower half of the data set.

1. First, we need to put the data in order from least to greatest:

60, 62, 65, 67, 67, 72, 75, 76, 76, 77, 79

2. The median of the entire data set is 72.

3. The lower half of the data set is:

60, 62, 65, 67, 67

4. The median of the lower half is:

65

Therefore, the first quartile is 65.

For the Data Set Below, Find the First Quartile 7279627677606575766767\begin{array} { l l l l l l l l l l l } \hline 72 & 79 & 62 & 76 & 77 & 60 & 65 & 75 & 76 & 67 & 67 \\\hline\end{array}72​79​62​76​77​60​65​75​76​67​67​​