Construct a grouped frequency distribution table for the given data using 6 classes.

Minimum value ($X_{min}$) = 18
Maximum value ($X_{max}$) = 92

The problem specifies using 6 classes.

We round up to a convenient whole number for the class width, so $h = 13$.

Starting from the minimum value (18) and using a class width of 13:

• Class 1: $18 - (18 + 13 - 1) = 18 - 30$
• Class 2: $31 - (31 + 13 - 1) = 31 - 43$
• Class 3: $44 - (44 + 13 - 1) = 44 - 56$
• Class 4: $57 - (57 + 13 - 1) = 57 - 69$
• Class 5: $70 - (70 + 13 - 1) = 70 - 82$
• Class 6: $83 - (83 + 13 - 1) = 83 - 95$

Let's list the data in ascending order to make tallying easier:
18, 37, 38, 40, 43, 43, 48, 49, 49, 49, 52, 54, 56, 56, 57, 57, 59, 59, 60, 61, 61, 61, 62, 64, 65, 65, 67, 68, 69, 69, 69, 71, 73, 73, 74, 74, 76, 77, 78, 79, 80, 81, 81, 82, 83, 85, 85, 85, 87, 92

• For $18 - 30$: 18 (Frequency = 1)
• For $31 - 43$: 37, 38, 40, 43, 43 (Frequency = 5)
• For $44 - 56$: 48, 49, 49, 49, 52, 54, 56, 56 (Frequency = 8)
• For $57 - 69$: 57, 57, 59, 59, 60, 61, 61, 61, 62, 64, 65, 65, 67, 68, 69, 69, 69 (Frequency = 17)
• For $70 - 82$: 71, 73, 73, 74, 74, 76, 77, 78, 79, 80,