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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Define Index Number

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Question

Define Index Number

Sum
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Solution

Index Numbers are the indicators which reflect the changes over a specified period of time in price of different commodities, production, sales, cost of living etc.

“An Index Number is a device which shows by its variations the change in a magnitude which is not capable of accurate measurements in itself or of direct valuation in practice”. – Wheldon

“An Index number is a statistical measure of fluctuations in a variable arranged in the form of a series and using a base. Period for maxing H comparisons” – Lawrence J Kalpan.

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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 1 | 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.

______ : Base year prices :: P1 : Current year prices.


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


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


Assertion (A): Index numbers are statistical devices.

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


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

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

Choose the correct alternative:

Which of the following Index number satisfy the time reversal test?


Compute the consumer price index for 2015 on the basis of 2014 from the following data.

Commodities Quantities Prices in 2015 Prices in 2016
A 6 5.75 6.00
B 6 5.00 8.00
C 1 6.00 9.00
D 6 8.00 10.00
E 4 2.00 1.50
F 1 20.00 15.00

Complete the correlation:

P0 : ______ : : P1 : Current year price.


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