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State whether the following statement is true or false: Dorbish-Bowley's Price Index Number is the square root of the product of Laspeyre's and Paasche's Index Numbers. - Mathematics and Statistics

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प्रश्न

State whether the following statement is true or false:

Dorbish-Bowley's Price Index Number is the square root of the product of Laspeyre's and Paasche's Index Numbers.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is False.

Explanation:

P01 (F) = `sqrt(P_(01) (L) xx P_(01) (P))`

Fisher's Ideal Price. The index Number is the square root of the product of Lospeyre's Price. Index number and Paasche's Price Index Number.

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Construction of Index Numbers - Weighted Aggregate Method
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2021-2022 (March) Set 1

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संबंधित प्रश्न

Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and MarshallEdgeworth’s Price index numbers.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 8 20 11 15
B 7 10 12 10
C 3 30 5 25
D 2 50 4 35

Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall - Edgeworth’s Price index numbers.

Commodity Base Year Current Year
Price Quantity Price Quantity
I 10 9 20 8
II 20 5 30 4
III 30 7 50 5
IV 40 8 60 6

Calculate Walsh’s Price Index Number.

Commodity Base Year Current Year
Price Quantity Price Quantity
I 10 12 20 9
II 20 4 25 8
III 30 13 40 27
IV 60 29 75 36

If P01(L) = 90 and P01(P) = 40, find P01(D – B) and P01(F).


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If Laspeyre's Price Index Number is four times Paasche's Price Index Number, then find the relation between Dorbish-Bowley's and Fisher's Price Index Numbers.


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Paasche’s Price Index Number is given by ______.


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`(1)/(2)[sqrt((sum"p"_1"q"_0)/(sum"p"_0"q"_0)) + sqrt("p"_1"q"_1)/(sqrt("p"_0"q"_1))] xx 100` is Fisher’s Price Index Number.


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Solve the following problem :

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Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
I 8 30 11 28
II 9 25 12 22
III 10 15 13 11

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Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
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A 3 x 2 5
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If `sum"p_"0"q"_0 = 120, sum "p"_0"q"_1 = 160, sum "p"_1"q"_1 = 140, and sum "p"_1"q"+0` = 200, find Laspeyre’s, Paasche’s Dorbish-Bowley’s and Marshall Edgeworth’s Price Index Number.


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