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Question
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 |
Solution
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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