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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

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प्रश्न

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
तक्ता
बेरीज
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उत्तर

Commodity 2002
(Base year)
2012
(Current year)

p0q0

p0q1

p1q0

p1q1
p0 q0 p1 q1
A 10 20 16 10 200 100 320 160
B 12 34 18 42 408 504 612 756
C 15 30 20 26 450 390 600 520
Total `sum"p"_0"q"_0` = 1058 `sum"p"_0"q"_1` = 1054 `sum"p"_1"q"_0` = 1532 `sum"p"_1"q"_0` = 1436

Laspeyres price index number

`"P"_01^"L" = (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`

= `1532/1058 xx 100`

= 144.8

Peasche's price index number

`"P"_01^"P" = (sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`

= `1436/1054 xx 100`

= 136.24

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पाठ 9: Applied Statistics - Exercise 9.2 [पृष्ठ २१९]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 9 Applied Statistics
Exercise 9.2 | Q 14 | पृष्ठ २१९

संबंधित प्रश्‍न

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.

Complete the Correlation:

__________ : Single variable :: Composite index : Group of variables


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

Index numbers can be constructed without the base year.


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


Mention the classification of Index Number


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

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?


Choose the correct pair.

Group A Group B
1) Price Index  a) `(sump_1q_1)/(sump_0q_0)xx100`
2) Value Index b) `(sumq_1)/(sumq_0)xx100`
3) Quantity Index  c) `(sump_1q_1)/(sump_0q_1)xx100`
4) Paasche's Index d) `(sump_1)/(sump_0)xx100`

Find the odd word out:

Features of Index Number:


Complete the correlation:

P0 : ______ : : P1 : Current year price.


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