For the given five values 12, 15, 18, 24, 36; the three-year moving averages are:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 15, 19, 26
A three-year moving average is the mean of each run of three consecutive values, moving one value at a time:
\( \displaystyle \frac{12 + 15 + 18}{3} = \frac{45}{3} = 15 \)
\( \displaystyle \frac{15 + 18 + 24}{3} = \frac{57}{3} = 19 \)
\( \displaystyle \frac{18 + 24 + 36}{3} = \frac{78}{3} = 26 \)
The moving averages are 15, 19, 26.