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प्रश्न
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 |
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उत्तर
Computation of Seasonal Index by the method of simple averages
| 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 |
Grand Average = `("Sum of" 4 "Quarterly Averages")/4`
= `(74.4 + 71.6 + 72.4 + 72.8)/4`
= `291.2/4`
= 72.8
S.I for I Quarter = `"Average of I Quarter"/"Grand Average" xx 100`
= `74.4/72.8 xx 100`
= 102.20
S.I for II Quarter = `"Average of II Quarter"/"Grand Average" xx 100`
= `71.6/72.8 xx 100`
= 98.35
S.I for III Quarter = `"Average of III Quarter"/"Grand Average" xx 100`
= `72.4/72.8 xx 100`
= 99.45
S.I for IV Quarter = `"Average of IV Quarter"/"Grand Average" xx 100`
= `72.8/72.8 xx 100`
= 100
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संबंधित प्रश्न
What is the need for studying time series?
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 |
Determine the equation of a straight line which best fits the following data
| Year | 2000 | 2001 | 2002 | 2003 | 2004 |
| Sales (₹ '000) | 35 | 36 | 79 | 80 | 40 |
Compute the trend values for all years from 2000 to 2004
Choose the correct alternative:
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Choose the correct alternative:
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| Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 |
| Sales | 50.3 | 52.7 | 49.3 | 57.3 | 56.8 | 60.7 | 62.1 | 58.7 |
The sum of the infinite series `x + (1 + 2)/(2!) x^2 + (1 + 2 + 3)/(3!) x^3 +` .... equals
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