In the data set below, what is the interquartile range \( \begin{array}{lllllll}32 & 40 & 50 & 51 & 67 & 68 & 97\end{array} \) Submit

To find the interquartile range (IQR), we first need to determine the first quartile (Q1) and the third quartile (Q3) of the data set, which consists of \(32, 40, 50, 51, 67, 68, 97\). Ordering the data (which it already is), we can split it into two halves. The median, or Q2, is the fourth number in the sequence, which is 51. For Q1, look at the first half: \(32, 40, 50\). The median of this half (Q1) is 40. For Q3, examine the second half: \(67, 68, 97\). The median here (Q3) is 68. Now, subtract Q1 from Q3 to get the IQR: \[ \text{IQR} = Q3 - Q1 = 68 - 40 = 28. \] So, the interquartile range is 28.