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State the test of adequacy of index number - Business Mathematics and Statistics

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प्रश्न

State the test of adequacy of index number

योग
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उत्तर

Index numbers are studied to know the relative changes in price and quantity for any two years compared.

There are two tests which are used to test the adequacy of an index number.

The two tests are as follows:

(i) Time Reversal Test

(ii) Factory Reversal Test

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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 7 | पृष्ठ २१९

संबंधित प्रश्न

Features of index numbers:

  1. It is useful in framing suitable economic policies.
  2. It is useful to present financial data in real terms
  3. Index numbers are statistical devices.
  4. Index numbers are specialized averages.

Index number was originally developed to measure ______.


Explain Paasche’s price index number


Define true value ratio


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

Explain the meaning of index number.


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.

Complete the correlation:

P0 : ______ : : P1 : Current year price.


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