For the given five values \(15,24,18,33,42\), the three years moving averages are
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(19,25,31\)
A three-year moving average is the mean of three consecutive values; the window then moves one value forward. Five values give three averages.
\( \displaystyle \frac{15 + 24 + 18}{3} = \frac{57}{3} = 19 \)
\( \displaystyle \frac{24 + 18 + 33}{3} = \frac{75}{3} = 25 \)
\( \displaystyle \frac{18 + 33 + 42}{3} = \frac{93}{3} = 31 \)
So the moving averages are 19, 25, 31.