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| Numerical and Statistical Computing |
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| Que. 2 (d) The following table gives the averages wholesale prices of four fruits for the years 1996 to 2000. Compute Chain Base Index Number. |
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| Fruit ¯/ Year® |
1996 |
1997 |
1998 |
1999 |
2000 |
| Banana |
14 |
18 |
16 |
15 |
17 |
| Oranges |
20 |
22 |
15 |
18 |
26 |
| Mango |
17 |
25 |
18 |
19 |
20 |
| Apple |
19 |
20 |
22 |
23 |
24 |
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For each period
step 1 : link relative for ith period
= figure of ith period * 100 figure of preceding period link relatives based on preceding years |
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| Fruit ¯/ Year® |
1996 |
1997 |
1998 |
1999 |
2000 |
| Banana |
100 |
450 |
89 |
94 |
113 |
| Oranges |
100 |
110 |
68 |
120 |
144 |
| Mango |
100 |
147 |
72 |
105 |
105 |
| Apple |
100 |
105 |
110 |
104 |
104 |
| Total of Link |
400 |
812 |
329 |
423 |
466 |
| Relatives |
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| Averages |
100 |
203 |
82.25 |
105.75 |
116.5 |
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step 2 : chain link relatives together by successive multiplication to get chain indices
chain index
= current years link relatives *preceding year chain index / 100 |
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| chain 100 |
203*100/100 |
82.25*203/100 |
105.75*166.96/100 |
116.5*176.6/100 |
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=203 |
=166.96 |
=176.6 |
=205.70 |
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