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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Choose the correct alternative: Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to: - Business Mathematics and Statistics

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Question

Choose the correct alternative:

Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:

Options

  • 110

  • 108

  • 100

  • 109

MCQ
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Solution

109

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Chapter 9: Applied Statistics - Exercise 9.4 [Page 229]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 9 Applied Statistics
Exercise 9.4 | Q 12 | Page 229

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.

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


Index number was originally developed to measure ______.


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.


Define Index Number


Calculate price index number for 2005 by (a) Laspeyre’s (b) Paasche’s method

Commodity 1995 2005
Price Quantity Price  Quantity
A 5 60 15 70
B 4 20 8 35
C 3 15 6 20

Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.

Commodity Price Weights
2012 2015
Rice 250 280 10
Wheat 70 85 5
Corn 150 170 6
Oil 25 35 4
Dhal 85 90 3

Calculate the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Interpret on the data.

Commodities Base Year Current Year
Price Quantity Price  Quantity
A 170 562 72 632
B 192 535 70 756
C 195 639 95 926
D 1987 128 92 255
E 1985 542 92 632
F 150 217 180 314
7 12.6 12.7 12.5 12.8
8 12.4 12.3 12.6 12.5
9 12.6 12.5 12.3 12.6
10 12.1 12.7 12.5 12.8

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