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The following are the group index numbers and the group weights of an average working class family’s budget. Construct the cost of living index number: Groups Food Fuel and Lighting Clothing Rent M - Business Mathematics and Statistics

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प्रश्न

The following are the group index numbers and the group weights of an average working class family’s budget. Construct the cost of living index number:

Groups Food Fuel and
Lighting
Clothing Rent Miscellaneous
Index Number  2450 1240 3250 3750 4190
Weight 48 20 12 15 10
सारिणी
योग

उत्तर

Group Weight
(W)
Index Number
(I)
WI
Food 48 2450 117600
Fuel and Lighting 20 1240 24800
Clothing 12 3250 39000
Rent 15 3750 56250
Miscellaneous 10 4190 41900
Total 105   279550

Cost of living index number = `(sum"WI")/(sum"W")`

= `279550/105`

= 2662.38

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अध्याय 9: Applied Statistics - Exercise 9.2 [पृष्ठ २२०]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 9 Applied Statistics
Exercise 9.2 | Q 20 | पृष्ठ २२०

संबंधित प्रश्न

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

Index numbers measure changes in the price level only.


Device that measures changes in an economic variable or a group of variables over a period of time –


Explain Paasche’s price index number


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

Choose the correct alternative:

Another name of consumer’s price index number is:


Choose the correct alternative:

Consumer price index are obtained by:


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

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?


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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