Calculate Three Yearly moving averages for the following data
|
Year |
2016 |
2017 |
2018 |
2019 |
2020 |
2021 |
|
Production (thousand tonnes) |
200 |
220 |
231 |
254 |
202 |
243 |
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 217, 235, 229, 233 **
Given Production Data (in '000 tonnes):
2016: 200
2017: 220
2018: 231
2019: 254
2020: 202
2021: 243
Compute 3-year moving averages:
First MA (2016–2018):
$\frac{200 + 220 + 231}{3} = \frac{651}{3} = 217$
Second MA (2017–2019):
$\frac{220 + 231 + 254}{3} = \frac{705}{3} = 235$
Third MA (2018–2020):
$\frac{231 + 254 + 202}{3} = \frac{687}{3} = 229$
Fourth MA (2019–2021):
$\frac{254 + 202 + 243}{3} = \frac{699}{3} = 233$
Final 3-year moving averages:
$217,\ 235,\ 229,\ 233$