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Question
The following are the group index numbers and the group weights of an average working class family’s budget. Construct the cost of living index number:
| Groups | Food | Fuel and Lighting |
Clothing | Rent | Miscellaneous |
| Index Number | 2450 | 1240 | 3250 | 3750 | 4190 |
| Weight | 48 | 20 | 12 | 15 | 10 |
Solution
| Group | Weight (W) |
Index Number (I) |
WI |
| Food | 48 | 2450 | 117600 |
| Fuel and Lighting | 20 | 1240 | 24800 |
| Clothing | 12 | 3250 | 39000 |
| Rent | 15 | 3750 | 56250 |
| Miscellaneous | 10 | 4190 | 41900 |
| Total | 105 | 279550 |
Cost of living index number = `(sum"WI")/(sum"W")`
= `279550/105`
= 2662.38
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