Maharashtra State BoardHSC Commerce 12th Board Exam
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Solve the following problem : Obtain trend values for data in Problem 4 using 4-yearly centered moving averages. - Mathematics and Statistics

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Sum

Solve the following problem :

Obtain trend values for data in Problem 4 using 4-yearly centered moving averages.

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Solution

Construct the following table for obtaining 4-yearly centered moving average for the data in problem 4.

Year
t
Production
yt
4–yearly moving total 4–yearly moving average 2 unit moving total 4–yearly centred moving averages trend value
1971 1        
           
1972 0        
    4 1    
1973 1     2.5 1.25
    6 1.5    
1974 2     3.5 1.75
    8 2    
1975 3     4.5 2.25
    10 2.5    
1976 2     6 3
    14 3.5    
1977 3     7.5 3.75
    16 4    
1978 6     7.75 3.875
    15 .75    
1979 5     7.75 3.875
    16 4    
1980 1     9 4.5
    20 5    
1981 4        
           
1982 10        
Concept: Measurement of Secular Trend
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 4 Time Series
Miscellaneous Exercise 4 | Q 4.06 | Page 69
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