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Byju's Answer
Standard XI
Statistics
Classification and Its Types
Construct the...
Question
Construct the Index Number for 2011 with 2015 as base from the following prices of commodities by simple (Unweighted) aggregative method.
Commodities
:
A
B
C
D
E
Prices in ₹(2015)
:
50
40
10
5
2
Prices in ₹(2011)
:
80
60
20
10
6
[Index Number = 164.48]
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Solution
Commodity
Prices in 2015
(p
0
)
Prices in 2011
(p
1
)
A
B
C
D
E
50
40
10
5
2
80
60
20
10
6
∑ p
0
= 107
∑ p
1
= 176
p
01
=
Σ
p
1
Σ
p
0
×
100
=
176
107
=
164
.
48
Thus, price index is 164.48.
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Similar questions
Q.
Calculate the index number for 2014 with 2013 as base from the following prices of the commodities by simple (unweighted) aggregative method.
Commodity and unit
Price ( ₹)
(2013)
Price ( ₹)
(2014)
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20.00
22.00
Milk per litre
3.00
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Cheese per Tin
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Q.
The following data relate to the prices and quantities of 4 commodities in the years 2011-12 and 2016-17. Construct the index numbers of price for the year 2016-17 by using 2011-12 the base year by: (i) Laspeyre's method, (ii) Paasche's method, (iii) Fisher's ideal method:
Commodity
2011-12
2016-17
Price (in ₹) p
0
Quantity q
0
Price (in ₹)
Quantity q
1
A
5
100
6
150
B
4
80
5
100
C
2.5
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5
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D
12
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Q.
Compute a Price Index for the following by (i) Simple Aggregative Method, and (ii) Average of Price Relative Method:
Commodities
A
B
C
D
E
F
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20
30
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40
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Q.
Compute a Price Index for the following by (i) Simple Aggregative Method, and (ii) Average of Price Relative Method:
Commodities
A
B
C
D
E
F
Price in 2009 (₹)
20
30
10
25
40
50
Price in 2017 (₹)
25
30
15
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45
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Q.
Calculate the index number for the year
2014
, with
2010
as the base year by the weighted aggregate method from the following data :
Commodity
Price in rupees
(
2010
)
Price in rupees
(
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Weight
A
2
4
8
B
5
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4
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19
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