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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Find the trend of production by the method of a five-yearly period of moving average for the following data: Year Production ('000) 1979 126 1980 123 1981 117 1982 128 1983 125 1984 124 198 - Business Mathematics and Statistics

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Question

Find the trend of production by the method of a five-yearly period of moving average for the following data:

Year Production ('000)
1979 126
1980 123
1981 117
1982 128
1983 125
1984 124
1985 130
1986 114
1987 122
1988 129
1989 118
1990 123
Chart

Solution

Computation of five-yearly moving averages

Year Production
('000)
5-Yearly centred
moving total
5-Yearly
moving averages
5-Yearly centred
moving averages
1979 126 - - -
1980 123 - - -
1981 117 619 123.8  
        123.6
1982 128 617 123.4  
        124.1
1983 125 624 124.8  
        124.5
1984 124 621 124.2  
        123.6
1985 130 615 123  
        123.4
1986 114 619 123.8  
        123.2
1987 122 613 122.6  
        121.9
1988 129 606 121.2  
1989 118 - - -
1990 123 - - -

The last column gives the trend in the production by the method of the five-yearly period of moving average.

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Time Series Analysis
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Chapter 9: Applied Statistics - Exercise 9.1 [Page 209]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 9 Applied Statistics
Exercise 9.1 | Q 15 | Page 209
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