Given the following set of data points: {6, 9, 15, 18, 22}, calculate the midhinge.

Step 1 ：Step 1: First, arrange the data points in ascending order: \(6, 9, 15, 18, 22\). The first quartile \(Q_1\) is the median of the lower half of the data (not including the median if the number of data points is odd), and the third quartile \(Q_3\) is the median of the upper half of the data (not including the median if the number of data points is odd).

Step 2 ：Step 2: To find \(Q_1\), we take the median of the lower half of the data, which is 9. To find \(Q_3\), we take the median of the upper half of the data, which is 22.

Step 3 ：Step 3: The formula for the midhinge is \(\frac{Q_1 + Q_3}{2}\). Substituting the values we found for \(Q_1\) and \(Q_3\), we get \(\frac{9 + 22}{2}\).