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प्रश्न
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 |
उत्तर
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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संबंधित प्रश्न
State the uses of time series
Compute the average seasonal movement for the following series
| Year | Quarterly Production | |||
| I | II | III | IV | |
| 2002 | 3.5 | 3.8 | 3.7 | 3.5 |
| 2203 | 3.6 | 4.2 | 3. | 4.1 |
| 2004 | 3.4 | 3.9 | 37 | 4.2 |
| 2005 | 4.2 | 4.5 | 3 | 4.4 |
| 2006 | 3.9 | 4.4 | 4.2 | 4.6 |
The following figures relates to the profits of a commercial concern for 8 years
| Year | Profit (₹) |
| 1986 | 15,420 |
| 1987 | 15,470 |
| 1988 | 15,520 |
| 1989 | 21,020 |
| 1990 | 26,500 |
| 1991 | 31,950 |
| 1992 | 35,600 |
| 1993 | 34,900 |
Find the trend of profits by the method of three yearly moving averages
Use the method of monthly averages to find the monthly indices for the following data of production of a commodity for the years 2002, 2003 and 2004
| 2002 | 2003 | 2004 |
| 15 | 20 | 18 |
| 18 | 18 | 25 |
| 17 | 16 | 21 |
| 19 | 13 | 11 |
| 16 | 12 | 14 |
| 20 | 15 | 16 |
| 21 | 22 | 19 |
| 18 | 16 | 20 |
| 17 | 18 | 1 |
| 15 | 20 | 16 |
| 14 | 17 | 18 |
| 18 | 15 | 20 |
Calculate the seasonal indices from the following data using the average method:
| Year | I Quarter | II Quarter | III Quarter | IV Quarter |
| 2008 | 72 | 68 | 62 | 76 |
| 2009 | 78 | 74 | 78 | 72 |
| 2010 | 74 | 70 | 72 | 76 |
| 2011 | 76 | 74 | 74 | 72 |
| 2012 | 72 | 72 | 76 | 68 |
Choose the correct alternative:
A time series is a set of data recorded
Choose the correct alternative:
The seasonal variation means the variations occurring with in
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