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Solve the following problem : Obtain trend values for data in Problem 13 using 4-yearly moving averages. - Mathematics and Statistics

Sum

Solve the following problem :

Obtain trend values for data in Problem 13 using 4-yearly moving averages.

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Solution

Construct the following table for finding 4-yearly centred moving averages.

Year
t
No. of deaths 
yt
4–yearly moving average 4–yearly moving Averages 2 unit moving total 4–yearly centred moving averages trend value
1975 0        
           
1976 6        
    17 4.25    
1977 3     9 4.5
    19 4.75    
1978 8     10.25 5.125
    22 5.5    
1979 2     11.25 5.625
    23 5.75    
19880 9     1075 5.375
    20 5    
1981 4     12 6
    28 7    
1982 5        
           
1983 10        
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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 4.15 | Page 70
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