Calculate an average value

We all know how to calculate an average value iteratively:

def average(nums):

    result = 0

    for num in nums:
        result += num

    return result/len(nums)

Could you provide a recursive solution? A formula for updating an average value given a new input might be handy:

$$ \bar{x} \leftarrow \frac{x_i + (n-1)\bar{x}}{n} $$

Here, $\bar x$ stands for an average value, $x_i$ is a new supplied value which is used to update the average, and $n$ corresponds to the recursive call number (excluding the initial call to the function).

Este ejercicio forma parte del curso

Practicing Coding Interview Questions in Python

Ver curso

Instrucciones del ejercicio

Provide the base case for the algorithm.
Define the recursive call for updating the average value.

Ejercicio interactivo práctico

Prueba este ejercicio y completa el código de muestra.

# Calculate an average value of the sequence of numbers
def average(nums):
  
    # Base case
    if len(nums) == ____:  
        return ____[____]
    
    # Recursive call
    n = len(nums)
    return (____ + ____ * ____) / ____

# Testing the function
print(average([1, 2, 3, 4, 5]))

Editar y ejecutar código