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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 |
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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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RELATED QUESTIONS
______ : Base year prices :: P1 : Current year prices.
Explain the features of index numbers.
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Assertion (A): Index numbers are statistical devices.
Reasoning (R): Index numbers measure only changes in the price level over a period of time.
Construct Quantity index number from the given data:
| Commodity | A | B | C | D | E |
| Base year quantities | 170 | 150 | 100 | 195 | 205 |
| Current year quantities | 90 | 70 | 75 | 150 | 95 |
State the test of adequacy of index number
State the uses of cost of Living Index Number
Compute the consumer price index for 2015 on the basis of 2014 from the following data.
| Commodities | Quantities | Prices in 2015 | Prices in 2016 |
| A | 6 | 5.75 | 6.00 |
| B | 6 | 5.00 | 8.00 |
| C | 1 | 6.00 | 9.00 |
| D | 6 | 8.00 | 10.00 |
| E | 4 | 2.00 | 1.50 |
| F | 1 | 20.00 | 15.00 |
Assertion and reasoning question:
- Assertion (A): The index number considers all factors.
- Reasoning (R): The index number is based on samples.
Explain the meaning of index number.
