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The following table shows the production of pig-iron and ferro-alloys ('000 metric tons)Years197419751976197719781979198019811982Production0499854810Find trend values for the above data by using 5 yearly moving averages.

Q.5 (A) (iii) The following table shows the production of pig-iron and ferro-alloys ('000 metric tons)

Years197419751976197719781979198019811982
Production0499854810

Find trend values for the above data by using 5 yearly moving averages.

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Best answer

Answer: Trend values: 1976 = 6, 1977 = 7, 1978 = 7, 1979 = 6.8, 1980 = 7

YearProduction5-yearly moving total5-yearly moving average (trend)
19740
19754
19769306
19779357
19788357
19795346.8
19804357
19818
198210

Each moving total of 5 consecutive years is placed against the middle (third) year and divided by 5. For example, \(0+4+9+9+8=30\), \(30/5=6\) for 1976. No trend values are obtained for the first two and last two years.

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report
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