Step 1 :Given the minimum value as 12, the maximum value as 73 and the number of classes as 7.
Step 2 :Calculate the class width by subtracting the minimum value from the maximum value and then dividing by the number of classes. This gives us \(\frac{73-12}{7} = 9\).
Step 3 :Find the lower class limits by adding the class width times the class number to the minimum value. This gives us the list [12, 21, 30, 39, 48, 57, 66].
Step 4 :Find the upper class limits by adding the class width to the lower class limit. This gives us the list [21, 30, 39, 48, 57, 66, 75].
Step 5 :Final Answer: The class width is \(\boxed{9}\). The lower class limits are \(\boxed{12, 21, 30, 39, 48, 57, 66}\). The upper class limits are \(\boxed{21, 30, 39, 48, 57, 66, 75}\).