The number of four-period centered moving averages of a time series with 20 time periods is:
A)16
B)20
C)24
D)28

Question

Quizplus · Accepted Answer

A four-period centered moving average can be calculated starting from the third period and ending at the second-to-last period in a time series, resulting in 20 - 4 + 1 = 17 calculations. However, because it's centered, each calculation uses the average of two periods, effectively reducing the count by one more, leading to 17 - 1 = 16.

The Number of Four-Period Centered Moving Averages of a Time