Python/maths/series/arithmetic_mean.py

def is_arithmetic_series(series: list) -> bool:
    """
    checking whether the input series is arithmetic series or not

    >>> is_arithmetic_series([2, 4, 6])
    True
    >>> is_arithmetic_series([3, 6, 12, 24])
    False
    >>> is_arithmetic_series([1, 2, 3])
    True

    """
    if len(series) == 1:
        return True
    common_diff = series[1] - series[0]
    for index in range(len(series) - 1):
        if series[index + 1] - series[index] != common_diff:
            return False
    return True


def arithmetic_mean(series: list) -> float:
    """
    return the arithmetic mean of series

    >>> arithmetic_mean([2, 4, 6])
    4.0
    >>> arithmetic_mean([3, 6, 9, 12])
    7.5
    >>> arithmetic_mean([4, 8, 1])
    Traceback (most recent call last):
        ...
    ValueError: Input list is not an arithmetic series
    >>> arithmetic_mean([1, 2, 3])
    2.0
    >>> arithmetic_mean([])
    Traceback (most recent call last):
        ...
    ValueError: Input list must be a non empty list

    """
    if len(series) == 0:
        raise ValueError("Input list must be a non empty list")
    if not is_arithmetic_series(series):
        raise ValueError("Input list is not an arithmetic series")
    answer = 0
    for _ in series:
        answer += _
    return answer / len(series)


if __name__ == "__main__":
    import doctest

    doctest.testmod()