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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Define Index Number - Business Mathematics and Statistics

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Question

Define Index Number

Sum

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.

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


Identify & explain the concept from the given illustration.

Bombay Stock Exchange has developed “Sensex” as a stock market index for reflecting the share prices of listed companies.


Identify & explain the concept from the given illustration.

Agricultural Research Institute constructed an index number to measure changes in the production of raw cotton in Maharashtra during the period 2015-2020.


Construct Quantity index number from the given data:

Commodity A B C D E
Base year quantities 170 150 100 195 205
Current year quantities 90 70 75 150 95

Write note on Fisher’s price index number


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:

Most commonly used index number is:


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

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