Advertisements
Advertisements
प्रश्न
Compute (i) Laspeyre’s (ii) Paasche’s (iii) Fisher’s Index numbers for the 2010 from the following data.
| Commodity | Price | Quantity | ||
| 2000 | 2010 | 2000 | 2010 | |
| A | 12 | 14 | 18 | 16 |
| B | 15 | 16 | 20 | 15 |
| C | 14 | 15 | 24 | 20 |
| D | 12 | 12 | 29 | 23 |
Advertisements
उत्तर
| Commodity | 2000 (Base year) |
2010 (Current year) |
p0q0 | p0q1 | p1q0 | p1q1 | ||
| p0 | q0 | p1 | q1 | |||||
| A | 12 | 14 | 18 | 16 | 216 | 192 | 252 | 224 |
| B | 15 | 16 | 20 | 15 | 300 | 225 | 320 | 240 |
| C | 14 | 15 | 24 | 20 | 336 | 280 | 360 | 300 |
| D | 12 | 12 | 29 | 23 | 348 | 276 | 348 | 276 |
| Total | `sum"p"_0"q"_0` = 1200 | `sum"p"_0"q"_1` = 973 | `sum"p"_1"q"_0` = 1280 | `sum"p"_1"q"_1` = 1040 | ||||
(i) Laspeyre's Price Index
`"P"_01^"L" = (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
= `1280/1200 xx 100`
= 106.6
(ii) Paasche's Price Index
`"P"_01^"P" = (sum"P"_1"q"_1)/(sum"p"_0"q"_1) xx 100`
= `1040/973 xx 100`
= 106.8
(iii) Fisher’s price index number
`"P"_01^"F" = sqrt((sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_1)/(sum"p"_0"q"_1)) xx 100`
= `sqrt(1280/1200 xx 1040/973) xx 100`
= `sqrt((13,31,200)/(11,67,600)) xx 100`
= `sqrt(1.14) xx 100`
= 106.7
APPEARS IN
संबंधित प्रश्न
Complete the Correlation:
__________ : Single variable :: Composite index : Group of variables
Device that measures changes in an economic variable or a group of variables over a period of time –
Index number which is computed from a single variable called is a ______.
Assertion (A): Index numbers are statistical devices.
Reasoning (R): Index numbers measure only changes in the price level over a period of time.
State the uses of Index Number
State the uses of cost of Living Index Number
Using the following data, construct Fisher’s Ideal index and show how it satisfies Factor Reversal Test and Time Reversal Test?
| Commodity | Price in Rupees per unit | Number of units | ||
| Basic year | Current year | Base year | Current year | |
| A | 6 | 10 | 50 | 56 |
| B | 2 | 2 | 100 | 120 |
| C | 4 | 6 | 60 | 60 |
| D | 10 | 12 | 50 | 24 |
| E | 8 | 12 | 40 | 36 |
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 |
Choose the correct alternative:
Which of the following Index number satisfy the time reversal test?
The base year's index of a selected variable is assumed as ______.
