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Define true value ratio

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प्रश्न

Define true value ratio

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उत्तर

`(sum"p"_1"q"_1)/(sum"p"_0"q"_0)` is the ratio of the total value in the current period to the total value in the base period and this ratio is called the true value ratio.

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पाठ 9: Applied Statistics - Exercise 9.2 [पृष्ठ २१९]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 9 Applied Statistics
Exercise 9.2 | Q 10 | पृष्ठ २१९

संबंधित प्रश्‍न

Statements that are incorrect in relation to index numbers:

  1. An index number is a geographical tool.
  2. Index numbers measure changes in air pressure.
  3. Index numbers measure relative changes in an economic variable.
  4. Index numbers are specialized averages.

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

Explain Paasche’s price index number


Calculate by a suitable method, the index number of price from the following data:

Commodity 2002 2012
Price Quantity Price Quantity
A 10 20 16 10
B 12 34 18 42
C 15 30 20 26

Using Fisher’s Ideal Formula, compute price index number for 1999 with 1996 as base year, given the following:

Year Commodity: A Commodity: B Commodity: C
Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg)
1996 5 10 8 6 6 3
1999 4 12 7 7 5 4

Choose the correct alternative:

Consumer price index are obtained by:


Calculate the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Interpret on the data.

Commodities Base Year Current Year
Price Quantity Price  Quantity
A 170 562 72 632
B 192 535 70 756
C 195 639 95 926
D 1987 128 92 255
E 1985 542 92 632
F 150 217 180 314
7 12.6 12.7 12.5 12.8
8 12.4 12.3 12.6 12.5
9 12.6 12.5 12.3 12.6
10 12.1 12.7 12.5 12.8

Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?

Commodities Price Quantity
Base Year Current Year Base Year Current Year
Wheat 6 10 50 56
Ghee 2 2 100 120
Firewood 4 6 60 60
Sugar 10 12 30 24
Cloth 8 12 40 36

Explain the meaning of index number.


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