For the given five values, 13, 17, 21, 22, 32; the 3-year moving averages are:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 17, 20, 25
A 3-year moving average is the mean of each set of three consecutive values, moving one value at a time:
\( \displaystyle \frac{13 + 17 + 21}{3} = \frac{51}{3} = 17 \)
\( \displaystyle \frac{17 + 21 + 22}{3} = \frac{60}{3} = 20 \)
\( \displaystyle \frac{21 + 22 + 32}{3} = \frac{75}{3} = 25 \)
So the moving averages are 17, 20, 25.