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Explain Paasche’s price index number - Business Mathematics and Statistics

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प्रश्न

Explain Paasche’s price index number

योग
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उत्तर

Paasches price index number

`"P"_01^"L" = (sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`

Where P1 = current year price

q1 = Current year quantity

p0 = Base year price

q0 = Base year quantity

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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 5 | पृष्ठ २१९

संबंधित प्रश्न

State with reasons whether you agree or disagree with the following statement:

Index numbers can be constructed without the base year.


Mention the classification of Index Number


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

Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.

Commodity Price Weights
2012 2015
Rice 250 280 10
Wheat 70 85 5
Corn 150 170 6
Oil 25 35 4
Dhal 85 90 3

An Enquiry was made into the budgets of the middle class families in a city gave the following information.

Expenditure Food Rent Clothing Fuel Rice
Price(2010) 150 50 100 20 60
Price(2011) 174 60 125 25 90
Weights 35 15 20 10 20

What changes in the cost of living have taken place in the middle class families of a city?


Assertion and reasoning question:

  • Assertion (A): The index number considers all factors.
  • Reasoning (R): The index number is based on samples.

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.

The base year's index of a selected variable is assumed as ______.


Complete the correlation:

P0 : ______ : : P1 : Current year price.


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