For the given values 27, 35, 42, 45, 51, 34, 43; the five yearly moving averages are:-
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 40, 41.4, 43
A five-yearly moving average is the mean of 5 consecutive values, moving one value forward each time. Seven values give three averages:
\( \displaystyle \frac{27 + 35 + 42 + 45 + 51}{5} = \frac{200}{5} = 40 \)
\( \displaystyle \frac{35 + 42 + 45 + 51 + 34}{5} = \frac{207}{5} = 41.4 \)
\( \displaystyle \frac{42 + 45 + 51 + 34 + 43}{5} = \frac{215}{5} = 43 \)