Advertisements
Advertisements
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 |
Advertisements
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
APPEARS IN
RELATED QUESTIONS
What is the need for studying time series?
Explain cyclic variations
Discuss about irregular variation
Define seasonal index
State the different methods of measuring trend
The annual production of a commodity is given as follows:
| Year | production (in tones) |
| 1995 | 155 |
| 1996 | 162 |
| 1997 | 171 |
| 19988 | 182 |
| 1999 | 158 |
| 2000 | 880 |
| 2001 | 178 |
Fit a straight line trend by the method of least squares
The sum of the infinite series `x + (1 + 2)/(2!) x^2 + (1 + 2 + 3)/(3!) x^3 +` .... equals
The sum of the series `log_4 2 - log_8 2 + log_16 2 + ...............` to `oo` is
What is the sum of the first 50 terms of the series (1 × 3) + (3 × 5) + (5 × 7) + ...?
The sum of the series 3.6 + 4.7 + 5.8 + ....... upto (n – 2) terms
