Skip to content
doubtly
Chapter: Time Series· Mathematics & Statistics (Commerce) Part 2

Obtain 4-yearly centered moving averages for the following time series:Years198119821983198419851986Number of crimes ('000)404243424444Years19871988198919901991Number of crimes ('000)4346474546

Q.6 (A) (i) Obtain 4-yearly centered moving averages for the following time series:

Years198119821983198419851986
Number of crimes ('000)404243424444
Years19871988198919901991
Number of crimes ('000)4346474546

1 answer

Best answer

Answer: 1983 to 1989: 42.25, 43.00, 43.25, 43.75, 44.625, 45.125, 45.625

4-yearly moving totals fall between two years, so they are centred by adding consecutive pairs and dividing by 8.

YearNumber of crimes ('000)4-yearly moving total2-period moving total (centred)4-yearly centred moving average (= col 4 ÷ 8)
198140
198242167 (between 1982 and 1983)
198343171 (between 1983 and 1984)33842.25
198442173 (between 1984 and 1985)34443.00
198544173 (between 1985 and 1986)34643.25
198644177 (between 1986 and 1987)35043.75
198743180 (between 1987 and 1988)35744.625
198846181 (between 1988 and 1989)36145.125
198947184 (between 1989 and 1990)36545.625
199045
199146
Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report
Was this answer helpful?

Your answer

Log in or create a free account to answer this question.