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Weighted Aggregative Method
Statistics for Management (SDE-1C01 COM)
Kannur University
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Weighted Aggregative Method
In this method, appropriate weights are assigned to various commodities to reflect their relative importance. The amounts of the quantity consumed. Purchased, or marked are the weights used. Sum of the importance formula used under the method are
Laspeyres Method
Paasche's Method
Fisher's Method
Marshall Edgeworth Method
Bowley Dorbish Method
Kelly's Method
Where
P1 = Price in the current year
Po = Price in the base year
q1 = Quantity in the current year
qo = Quantity in the base year
q = (qo + q1)÷ 2
Question
⚫ Calculate index number by using the following formula a) Laspeyres Method b) Paasche's Method c) Fisher's Method d) Marshall Edgeworth Method e) Bowley Dorbish Method f) Kelly's Method
= 200/160 × 100
Ans = 125
b) Paasche's Method
= 130/160 × 100
Ans. = 81.
c) Fisher's Method
=√ 158
Ans = 12.
d) Marshall Edgeworth Method
= 200+130 / 160+
= 1 Ans
e) Bowley Dorbish Method
= ½ (200/160 + 130/103)× 100
= ½ ( 1+1)× 100
=126 And
f) Kelly's Method
= 165/131 × 100
= 126 Ans
Question
t Calculate weighted index number by applied the following formula a) Laspeyres Method b) Paasche's Method c) Fisher's Method d) Marshall Edgeworth Method e) Bowley Dorbish Method f) Kelly's Method
Commodity 2000 2001
Price Quantity Price Quantity
A 4 200 4 240
B 8 120 12 120
C 20 60 24 50
D 16 80 24 60
E 12 160 20 90
e) Bowley Dorbish Method
= ½ ( 8400/6160 + 6840/4960) × 100 = ½ ( 2) × 100 = 137 ans
f) Kelly's Method
= 7820/5560 × 100 = 140 ans
Weighted Aggregative Method
Course: Statistics for Management (SDE-1C01 COM)
University: Kannur University
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