For these data, what is the three-period centered moving average for period 4? $$\begin{array} { | c | c | c | c | c | c | c | c | c | c | }
\hline t & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline y _ { t } & 22 & 33 & 27 & 34 & 38 & 26 & 28 & 35 & 41 \
\hline
\end{array}$$
A)33.33
B)31.33
C)33.00
D)34.00

Question

For these data, what is the three-period centered moving average for period 4? $$\begin{array} { | c | c | c | c | c | c | c | c | c | c | } 
\hline t & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline y _ { t } & 22 & 33 & 27 & 34 & 38 & 26 & 28 & 35 & 41 \
\hline
\end{array}$$
A)33.33
B)31.33
C)33.00
D)34.00

Quizplus · Accepted Answer

The three-period centered moving average for period 4 is obtained by taking the average of the values in periods 3, 4, and 5.

y4 = (y3 + y4 + y5)/3 = (27 + 34 + 38)/3 = 33

Therefore, the three-period centered moving average for period 4 is 33.00, which is choice C.

For These Data, What Is the Three-Period Centered Moving Average