Find discrepancies in the implementation of the requirements. Requirements: The program outputs numbers from 0 to 100 inclusive. Instead of numbers divisible by three, the program should output the word "Fizz", and instead of numbers divisible by five — the word "Buzz". If a number is divisible by both 3 and 5, the program should output the word "FizzBuzz".

Common implementation discrepancies related to the order of checks and number ranges are:

1. The number range should be from 0 to 100 inclusive. If the loop starts at 1 or ends at 99, it is an error.

2. When checking divisibility, first check if the number is divisible by both 3 and 5 (i.e., 15) to output "FizzBuzz". If you check divisibility by 3 or 5 separately first, the "FizzBuzz" condition will not work.

3. Instead of numbers divisible by 3, output "Fizz"; instead of those divisible by 5, output "Buzz".

An example of correct implementation in Python:

for i in range(0, 101):
    if i % 15 == 0:
        print("FizzBuzz")
    elif i % 3 == 0:
        print("Fizz")
    elif i % 5 == 0:
        print("Buzz")
    else:
        print(i)

If the "FizzBuzz" check is missing or placed after checks for 3 and 5, the program will not meet the requirements.