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प्रश्न
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 |
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उत्तर
Computation of seasonal. Index by the method of simple averages.
| 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 |
| Quarterly Total |
18.6 | 20.8 | 18.8 | 20.8 |
| Quarterly Averages |
3.72 | 4.16 | 3.76 | 4.16 |
Grand Average = `(3.72 + 4.16 + 3.76 + 4.16)/4`
= `15.80/4`
= 3.95
S.I for I Quarter = `"Average of I Quarter"/"Grand Average" xx 100`
S.I for I Quarter`3.72/3.95 xx 100`
= 941772
S.I for II Quarter = `"Averge of II Quarter"/"Grand Average" x 100`
= `4.16/3.95 xx 100`
= 105.3165
S.I for III Quarter = `"Average of III Quarter"/"Grand Average" xx 100`
= `3.76/3.95 xx 100`
= 95.1899
S.I for IV Quarter = `"Average of IV Quarter"/"Grand Average" xx 100`
= `4.16/3.95 xx 100`
= 105.3165
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संबंधित प्रश्न
State the uses of time series
Mention the components of the time series
Write a brief note on seasonal variations
Discuss about irregular variation
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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 |
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