Advertisements
Advertisements
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 |
Advertisements
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
APPEARS IN
संबंधित प्रश्न
Define Time series
What is the need for studying time series?
State the two normal equations used in fitting a straight line
The following table gives the number of small-scale units registered with the Directorate of Industries between 1985 and 1991. Show the growth on a trend line by the free hand method.
| Year | No. of units (in '000) |
| 195 | 10 |
| 986 | 22 |
| 1987 | 36 |
| 198 | 62 |
| 1989 | 55 |
| 1990 | 0 |
| 1991 | 34 |
| 1992 | 50 |
The sales of a commodity in tones varied from January 2010 to December 2010 as follows:
| In Year 2010 | Sales (in tones) |
| Jan | 280 |
| Feb | 240 |
| Mar | 270 |
| Apr | 300 |
| May | 280 |
| Jun | 290 |
| Jul | 210 |
| Aug | 200 |
| Sep | 230 |
| Oct | 200 |
| Nov | 230 |
| Dec | 210 |
Fit a trend line by the method of semi-average
The following table shows the number of salesmen working for a certain concern:
| Year | 1992 | 1993 | 1994 | 1995 | 1996 |
| No. of salesman |
46 | 48 | 42 | 56 | 52 |
Use the method of least squares to fit a straight line and estimate the number of salesmen in 1997
Choose the correct alternative:
A time series consists of
Choose the correct alternative:
Factors responsible for seasonal variations are
Fit a straight line trend by the method of least squares to the following data
| 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 |
Sum of the first n terms of the series `1/2 + 3/4 + 7/8 + 15/16 +`......... is equal to:
