$$\begin{array}{l}
\text { For the data set below, find the IQR. }\
\begin{array} { l l l l l l l l l l l }
\hline 65 & 74 & 74 & 68 & 66 & 73 & 63 & 72 & 62 & 75 & 75 \
\hline
\end{array}
\end{array}$$
A) 9
B) 65
C) 74
D) 13

Question

$$\begin{array}{l}
\text { For the data set below, find the IQR. }\
\begin{array} { l l l l l l l l l l l } 
\hline 65 & 74 & 74 & 68 & 66 & 73 & 63 & 72 & 62 & 75 & 75 \
\hline
\end{array}
\end{array}$$
A) 9
B) 65
C) 74
D) 13

Quizplus · Accepted Answer

The Interquartile Range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) in a data set. First, we need to sort the data: 62, 63, 65, 66, 68, 72, 73, 74, 74, 75, 75. The median (Q2) is 72. Q1 is the median of the first half (not including the overall median if the number of data points is odd), which is 65.5 (the average of 65 and 66). Q3 is the median of the second half, which is 74.5 (the average of 74 and 75). IQR = Q3 - Q1 = 74.5 - 65.5 = 9.

A) 9 B) 65 C) 74 D) 13

A) 9
B) 65
C) 74
D) 13