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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Mention the classification of Index Number - Business Mathematics and Statistics

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Question

Mention the classification of Index Number

Sum
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Solution

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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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 3 | Page 219

RELATED QUESTIONS

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


Index number which is computed from a single variable called is a ______.


Assertion (A): Index numbers are statistical devices.

Reasoning (R): Index numbers measure only changes in the price level over a period of time.


Explain Paasche’s price 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

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 the following data, construct Fisher’s Ideal index and show how it satisfies Factor Reversal Test and Time Reversal Test?

Commodity Price in Rupees per unit Number of units
Basic year Current year Base year Current year
A 6 10 50 56
B 2 2 100 120
C 4 6 60 60
D 10 12 50 24
E 8 12 40 36

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?


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