For the data set below, find the IQR. $\begin{array} { l l l l l l l l l l l }
\hline 71 & 69 & 62 & 79 & 64 & 79 & 63 & 66 & 72 & 74 & 65 \
\hline
\end{array}$
A) 10
B) 17
C) 64
D) 74

Question

For the data set below, find the IQR. $\begin{array} { l l l l l l l l l l l } 
\hline 71 & 69 & 62 & 79 & 64 & 79 & 63 & 66 & 72 & 74 & 65 \
\hline
\end{array}$
A) 10
B) 17
C) 64
D) 74

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 order the data from smallest to largest: 62, 63, 64, 65, 66, 69, 71, 72, 74, 79, 79. With 11 data points, the median (Q2) is the 6th value, which is 69. Q1 is the median of the first half (excluding the median if the number of data points is odd), which is 64. Q3 is the median of the second half, which is 74. Therefore, IQR = Q3 - Q1 = 74 - 64 = 10.

For the Data Set Below, Find the IQR 7169627964796366727465\begin{array} { l l l l l l l l l l l } \hline 71 & 69 & 62 & 79 & 64 & 79 & 63 & 66 & 72 & 74 & 65 \\\hline\end{array}71​69​62​79​64​79​63​66​72​74​65​​

For the Data Set Below, Find the IQR $\begin{array} { l l l l l l l l l l l } \hline 71 & 69 & 62 & 79 & 64 & 79 & 63 & 66 & 72 & 74 & 65 \\\hline\end{array}$