Chapter: Time Series· Mathematics & Statistics (Commerce) Part 2

The following data gives the production of bleaching powder (in '000 tons) for the years 1962 to 1972 :Years19621963196419651966196719681969197019711972Production001142497108Obtain the trend values for the above data using 5 yearly moving averages.

Q.6 (A)(iii) The following data gives the production of bleaching powder (in '000 tons) for the years 1962 to 1972 :

Years	1962	1963	1964	1965	1966	1967	1968	1969	1970	1971	1972
Production	0	0	1	1	4	2	4	9	7	10	8

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

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Answer: Trend values 1964 to 1970: 1.2, 1.6, 2.4, 4.0, 5.2, 6.4, 7.6

Each 5-yearly moving total is the sum of five consecutive values, written against the middle (third) year; dividing by 5 gives the moving average, which is the trend value.

Year	Production	5-yearly moving total	5-yearly moving average (trend value)
1962	0	–	–
1963	0	–	–
1964	1	6	1.2
1965	1	8	1.6
1966	4	12	2.4
1967	2	20	4.0
1968	4	26	5.2
1969	9	32	6.4
1970	7	38	7.6
1971	10	–	–
1972	8	–	–

Trend values cannot be obtained for the first two and last two years (1962, 1963, 1971, 1972).

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The following data gives the production of bleaching powder (in '000 tons) for the years 1962 to 1972 :Years19621963196419651966196719681969197019711972Production001142497108Obtain the trend values for the above data using 5 yearly moving averages.

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