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Maximum Difference in Array

Write a Python function `max_abs_diff(arr)` that takes a list of integers `arr` and returns the maximum absolute difference between any two elements in the array.

#### Example Usage:
```python [main.nopy]
print(max_abs_diff([2, 1, 5, 3]))  # Output: 4
print(max_abs_diff([9, 3, 2, 5, 1]))  # Output: 8
print(max_abs_diff([3, 2, 1]))  # Output: 2
```

#### Constraints:
- The input list will have at least two elements.
- The elements of the list are integers.
def max_abs_diff(arr):
    """
    Calculate the maximum absolute difference between any two elements in the array.

    Args:
        arr (list): A list of integers.

    Returns:
        int: The maximum absolute difference between any two elements.
    """
    # Placeholder for the solution
    pass