115 155 3 60 100 125 4 55 110
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Topic Video
Question
The following data shows prices of three types of fruits over ten years.
Year | Mango | Orange | Blackberry |
1 | 50 | 100 | 150 |
2 | 55 | 115 | 155 |
3 | 60 | 100 | 125 |
4 | 55 | 110 | 130 |
5 | 63 | 120 | 120 |
6 | 65 | 110 | 125 |
7 | 70 | 105 | 140 |
8 | 75 | 120 | 170 |
9 | 60 | 130 | 160 |
10 | 65 | 135 | 175 |
Take year 1 as the base year. In that year the production of Mango, Orange, and Blackberry was 50, 25,
and 15 thousand kilograms respectively.
a) Find the un-weighted index of prices.
b) Find the Laspeyres index for fruit prices.
c) What is the change in price from year 6 to year 7 if you use un-weighted index.
d) What is the change in price from year 6 to year 7 if you use Laspeyres index.
e) Is answer to c is different from answer to d. Explain your answer
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