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Mention the classification of Index Number

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प्रश्न

Mention the classification of Index Number

योग
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उत्तर

Index number can be classified as follows:

(i) Price Index Number: It measures the general changes in the retail or wholesale price level of a particular or group of commodities.

(ii) Quantity Index Number: These are indices of measure the changes in the quantity of goods manufactured in a factory.

(iii) Cost of living Index Number: These are intended to study the effect of change in the price level on the cost of living of different classes of people.

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

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 9 Applied Statistics
Exercise 9.2 | Q 3 | पृष्ठ २१९

संबंधित प्रश्न

Index numbers that measure changes in the level of output or physical volume of production in the economy −


Explain Paasche’s price index number


Discuss about Cost of Living 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

Calculate price index number for 2005 by (a) Laspeyre’s (b) Paasche’s method

Commodity 1995 2005
Price Quantity Price  Quantity
A 5 60 15 70
B 4 20 8 35
C 3 15 6 20

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

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:

Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:


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

Read the given passage and answer the questions:

Index Number is a technique of measuring changes in a variable or group of related variables with reference to time, geographical location and other characteristics.

Index Number is very useful for economists, farmers, traders, government, educationalists and trade union leaders for planning and implementing the plans according to their sector.

The scope of index number is not limited to only one subject but it extends to many subjects such as Economics, Educational science, Psychology, History, Sociology, Geography etc.

While framing index number its objective must be determined. To attain the objective the information is collected in various ways and this information is used for comparing two different time periods. For this purpose, the base year’s index is assumed as 100 and accordingly the value of the current year is calculated.

Laspeyre, Paasche and Fisher have suggested different methods for constructing index numbers.

  1. Explain the meaning of Index Number.
  2. To whom the Index Number is useful?
  3. Express your opinion about the given passage.

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