A group of researchers carried out a survey of household expenditure for an average family and the data are shown in Table 3. Table 3 Commodity 2016 2017 Quantity 105 18 Price Quantity 100 Price Rice (kg) Bread (loaf) Сосоа рowder (kg) Milk (liter) Sugar (kg) 7.30 8.60 3.02 16 3.10 10.26 25 7.83 33 6.10 56 11 6.55 78 15 2.85 2.95 Compute the Average Price Relative (APR) index for 2016 and 2017, using 2016 as the base year. (i) (ii) Calculate Paasche Price Index for 2017 (year 2016 = 100). Interpret the answer. Calculate Laspeyres Price Index for 2017 (year 2016 = 100). Interpret the answer. (iii) (iv) Calculate the Fisher's Price index.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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A group of researchers carried out a survey of household expenditure for an
average family and the data are shown in Table 3.
Table 3
Commodity
2016
2017
Quantity
105
Price
Quantity
100
Price
Rice (kg)
Bread (loaf)
Cocoa powder (kg)
Milk (liter)
Sugar (kg)
7.30
8.60
3.02
16
3.10
18
10.26
25
7.83
33
6.10
56
6.55
78
2.85
11
2.95
15
(i)
Compute the Average Price Relative (APR) index for 2016 and 2017,
using 2016 as the base year.
(ii)
Calculate Paasche Price Index for 2017 (year 2016 = 100). Interpret the
answer.
(iii) Calculate Laspeyres Price Index for 2017 (year 2016 = 100). Interpret
the answer.
(iv)
Calculate the Fisher's Price index.
Transcribed Image Text:A group of researchers carried out a survey of household expenditure for an average family and the data are shown in Table 3. Table 3 Commodity 2016 2017 Quantity 105 Price Quantity 100 Price Rice (kg) Bread (loaf) Cocoa powder (kg) Milk (liter) Sugar (kg) 7.30 8.60 3.02 16 3.10 18 10.26 25 7.83 33 6.10 56 6.55 78 2.85 11 2.95 15 (i) Compute the Average Price Relative (APR) index for 2016 and 2017, using 2016 as the base year. (ii) Calculate Paasche Price Index for 2017 (year 2016 = 100). Interpret the answer. (iii) Calculate Laspeyres Price Index for 2017 (year 2016 = 100). Interpret the answer. (iv) Calculate the Fisher's Price index.
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