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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Discuss about Cost of Living Index Number - Business Mathematics and Statistics

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Question

Discuss about Cost of Living Index Number

Sum
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Solution

Cost of Living Index Number is constructed to study the effect of changes in the price of goods and services of consumers for a current period as compared with the base period.

The change in the cost of living index number between any two periods means the change in income which will be necessary to maintain the same standard of living in both periods.

Therefore the cost of living index number measures the average increase in the cost to maintain the same standard of life.

Further, the consumption habits of people differ widely from class to class (rich, poor, middle class) and even with the region.

The changes in the price level affect the different classes of people, consequently, the general price index numbers fail to reflect the effect of changes in their cost of living in different classes of people.

Therefore, the cost of living index number measures the general price movement of the commodities consumed by different classes of people.

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Chapter 9: Applied Statistics - Exercise 9.2 [Page 219]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 9 Applied Statistics
Exercise 9.2 | Q 11 | Page 219

RELATED QUESTIONS

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.

Complete the Correlation:

__________ : Single variable :: Composite index : Group of variables


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

Index numbers measure changes in the price level only.


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


Explain factor reversal test


Define true value ratio


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

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 ______.


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