Centered Moving Average Series

Problem

Smooth a series with a centered moving average of odd window size k. For each position t from (k-1)//2 to n-1-(k-1)//2, average the k values centered on t.

Return an empty list when k is even, k is not positive, or k is larger than the series. A centered average cannot align with the series for even k, so those inputs are rejected.

Hint

The output is shorter than the input by k - 1 values.

Test cases

case 1

in: [[1,2,3,4,5],3]

expected: [2,3,4]

case 2

in: [[2,4,6,8,10],5]

expected: [6]

case 3

in: [[7],1]

expected: [7]

case 4

in: [[1,2,3,4],2]

expected: []

Starter codePython

def centered_moving_average(series, k):
    # Your code here
    pass

4 test cases · run your code against them in the editor