# Solve the following problem : Obtain trend values for the data in Problem 7 using 4-yearly moving averages. - Mathematics and Statistics

Sum

Solve the following problem :

Obtain trend values for the data in Problem 7 using 4-yearly moving averages.

#### Solution

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

 Year t Percentage of Enrolment yt 4–yearly moving total 4–yearly moving average 2 unit moving total 4–yearly centred moving averages trend value 1960 0 1965 3 10 2.5 1970 3 6 3 14 3.5 1975 4 7.5 3.75 16 4 1980 4 8.75 4.375 19 4.75 1985 5 10.5 5.25 23 5.75 1990 6 12.5 6.25 27 6.75 1995 8 14.75 7.375 32 8 2000 8 2005 10 4.5
Concept: Measurement of Secular Trend
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Chapter 4: Time Series - Miscellaneous Exercise 4 [Page 69]

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 4 Time Series
Miscellaneous Exercise 4 | Q 4.09 | Page 69
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