Step 1: Concept
The average of a set of numbers in an Arithmetic Progression is the middle term.
Step 2: Meaning
The first five multiples of 9 are: 9, 18, 27, 36, 45.
Step 3: Analysis
Average = $(9 + 18 + 27 + 36 + 45) / 5 = 135 / 5 = 27$.
Step 4: Conclusion
The average is 27.
Final Answer: (B)