Step 1 :First, sort the data in ascending order: \(40.0, 40.9, 48.1, 56.5, 56.8, 60.3, 60.5, 64.4, 68.5, 70.4, 75.3, 75.3, 77.9, 83.1\)
Step 2 :Lowest value (Low) is \(40.0\)
Step 3 :Highest value (High) is \(83.1\)
Step 4 :To find \(Q_1\), we find the median of the lower half: \(40.0, 40.9, 48.1, 56.5, 56.8, 60.3, 60.5\). The median is \(56.5\)
Step 5 :To find \(Q_3\), we find the median of the upper half: \(64.4, 68.5, 70.4, 75.3, 75.3, 77.9, 83.1\). The median is \(75.3\)
Step 6 :The overall median (MD) is the median of the entire data set: \(56.8, 60.3, 60.5, 64.4, 68.5, 70.4, 75.3\). The median is \(64.4\)
Step 7 :The five-number summary is: \(\text{Low}=40.0, Q_1=56.5, \mathrm{MD}=64.4, Q_3=75.3, \text{High}=83.1\)
Step 8 :\boxed{\text{Low}=40.0, Q_1=56.5, \mathrm{MD}=64.4, Q_3=75.3, \text{High}=83.1}