Statistics – Index Numbers (Simple, Weighted, Price & Quantity Indexes) Quiz - ICSE Class 11 Economics

Free practice quiz: Statistics – Index Numbers (Simple, Weighted, Price & Quantity Indexes) (ICSE Class 11 Economics). 69 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 11 Economics practice quiz has 69 multiple-choice questions on Statistics – Index Numbers (Simple, Weighted, Price & Quantity Indexes), and 69 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. When constructing a weighted index number, if the weights assigned to different commodities are the quantity of goods produced in the base year, which type of index is being calculated?

   1. Simple Aggregate Index
   2. Weighted Aggregate Index
   3. Laspeyres Price Index
   4. Paasche Price Index
   Show answer

   Answer: B. Weighted Aggregate Index

   When quantities from the base year are used as weights, it signifies a weighted approach. While Laspeyres and Paasche use quantities as weights, the question specifies 'quantity of goods produced in the base year' as the weight itself, directly pointing to a Weighted Aggregate Index. Laspeyres uses base year quantities and current year prices, and Paasche uses current year quantities and current year prices. A simple aggregate index does not use weights.

2. If the index of production for a sector moves from 100 in Year 1 to 115 in Year 2, and the base year quantities are used as weights, what is the most accurate interpretation?

   1. The average price of production inputs has increased by 15%.
   2. The output quantity of the sector has increased by 15%.
   3. The value of production at base year prices has increased by 15%.
   4. The total cost of production has increased by 15%.
   Show answer

   Answer: B. The output quantity of the sector has increased by 15%.

   An index of production, especially when referring to quantities and using base year quantities as weights (which is typical for quantity indices, analogous to Laspeyres for prices), measures the change in the volume of output. An increase from 100 to 115 signifies a 15% rise in the quantity produced.

3. The term 'chain index' in the context of index numbers refers to:

   1. An index where the base period is changed every year.
   2. An index that links together price relatives from different periods.
   3. An index that exclusively uses chain-linking for quantity weights.
   4. An index that measures the change in the cost of a fixed chain of items.
   Show answer

   Answer: B. An index that links together price relatives from different periods.

   Chain indexing involves linking index numbers from one period to the next. The index for a later period is calculated based on the index of the immediately preceding period, allowing for a continuous measure of change over time, and often incorporating updated weights or baskets.

4. Which type of index is more likely to be influenced by changes in consumer purchasing patterns over time?

   1. Laspeyres Index
   2. Paasche Index
   3. Fisher's Ideal Index
   4. Fixed-base Simple Aggregate Index
   Show answer

   Answer: B. Paasche Index

   The Paasche Index uses current period quantities as weights. As consumer purchasing patterns change, the quantities consumed in the current period will reflect these changes. Therefore, the Paasche Index is more sensitive to shifts in consumption patterns than the Laspeyres Index, which uses fixed base-period quantities.

5. When calculating a Paasche price index, the weights used are:

   1. Quantities of the base period.
   2. Quantities of the current period.
   3. Values of the base period.
   4. Values of the current period.
   Show answer

   Answer: B. Quantities of the current period.

   The Paasche Price Index uses the quantities of the current period as weights. This reflects current consumption or production patterns, making it sensitive to shifts in these patterns.

More questions in this quiz

Answers and explanations are in the full quiz.

1. If the index of a basket of goods increases from 120 in Year 1 to 150 in Year 2, what is the percentage increase in the price level from Year 1 to Year 2?
2. Consider the following data for two commodities: Commodity A: Base Year Price = ₹10, Current Year Price = ₹15, Base Year Quantity = 50 kg. Commodity B: Base Year Price = ₹20, Current Year Price = ₹25, Base Year Quantity = 30 kg. Calculate the Simple Aggregate Price Index for the current year.
3. A consumer price index (CPI) for a specific basket of goods in Year 1 was 110. In Year 2, the CPI rose to 132. What is the inflation rate between Year 1 and Year 2?
4. When constructing a weighted index, if the weights are based on the quantities consumed in the current year, which type of index is it?
5. Suppose the index number of a group of 5 commodities, using base year prices as weights, shows an increase from 100 to 120. If the quantities of these commodities remained constant, what does this imply?
6. Which of the following statements is NOT a characteristic of a well-constructed index number?
7. Consider the following data for two goods: Good X: Base Year Price = ₹50, Current Year Price = ₹60, Base Year Quantity = 10 units. Good Y: Base Year Price = ₹100, Current Year Price = ₹110, Base Year Quantity = 5 units. Calculate the Laspeyres Price Index.
8. If the Paasche Price Index is 110 and the Laspeyres Price Index is 120 for the same period and basket of goods, what can be inferred about the price changes?
9. Which type of index is considered ideal because it is free from both the 'upward bias' of Laspeyres and the 'downward bias' of Paasche?
10. A quantity index shows a change from 150 in Year 1 to 180 in Year 2. What is the percentage change in the quantity of the basket of goods?
11. When calculating a price index, if the base year is shifted forward to a more recent year, what is the primary consequence?
12. The 'basket of goods' used to construct a Consumer Price Index (CPI) is typically updated to reflect:
13. A producer price index (PPI) for manufactured goods in a country was 105 in January and rose to 108.9 in February of the same year. Calculate the monthly inflation rate for these goods.
14. Which of the following is a limitation of using simple average of price relatives for constructing an index number?
15. If the wholesale price index (WPI) for a country was 110 in 2022 and 118.8 in 2023, and the base year for WPI calculation is 2011, what is the percentage increase in wholesale prices from 2022 to 2023?
16. Consider the following data for calculating a price index: Commodity A: P0=₹10, P1=₹12, Q0=100. Commodity B: P0=₹20, P1=₹23, Q0=50. Calculate the weighted aggregate price index using base year quantities as weights (Laspeyres Index).
17. In a scenario where the simple aggregate quantity index increases significantly due to the increased production of a minor commodity, while the major commodities show little change, what is the main drawback illustrated?
18. Which statement best describes the 'base-date effect' in index numbers?
19. Given the following: Commodity X: P0=₹5, P1=₹7, Q0=20. Commodity Y: P0=₹15, P1=₹16, Q0=10. Calculate the Fisher's Ideal Index.
20. What does it mean for an index number to be 'time-reversal' invariant?
21. When the Laspeyres price index for a country's exports increases from 100 to 125, and the Paasche quantity index decreases from 100 to 90, what is the value of the Fisher's Ideal Index?
22. Consider a basket of 3 goods. Base year prices and quantities: Good A (P0=10, Q0=5), Good B (P0=20, Q0=3), Good C (P0=30, Q0=2). Current year prices: Good A (P1=12), Good B (P1=22), Good C (P1=35). Calculate the Simple Aggregate Price Index.
23. Which bias is typically associated with the Laspeyres Price Index due to consumers substituting cheaper goods when prices rise?
24. If the value index for a basket of goods increased by 15% from the base year to the current year, what does this primarily indicate?
25. Consider the following data: Commodity A: P0=20, P1=25, Q0=10, Q1=12. Commodity B: P0=30, P1=32, Q0=5, Q1=6. Calculate the Paasche Price Index.
26. If a specific product's price has doubled from the base year, and it constitutes 30% of the total expenditure in the base year, how would its price increase affect a weighted index compared to a simple aggregate index?
27. What is the primary purpose of deflation by using price indices?
28. If the index of industrial production shows a 5% increase in a quarter, and this index is weighted by the value of output in the base year, what does this specifically represent?
29. Which of the following is NOT a method for constructing a simple index number?
30. If a price index increases from 100 to 110, and the basket consists of only two goods, Good A (weight 60%) and Good B (weight 40%), what can be said about the individual price changes if the price of Good A doubled?
31. What is the primary reason for the 'quality change bias' in price indices?
32. If the wholesale price index for raw materials increased by 15%, and the wholesale price index for finished goods increased by 8%, and the finished goods have a weight of 70% in a combined index, what is the combined index value assuming the base index was 100?
33. Which aspect of an index number is most affected by the 'omitted goods bias'?
34. If the Laspeyres index is 120 and the Paasche index is 110 for a given period, what is the value of Fisher's Ideal Index?
35. Consider the following data for a simple aggregate price index: Good X: Base Year Price = ₹5, Current Year Price = ₹7. Good Y: Base Year Price = ₹10, Current Year Price = ₹12. What is the Simple Aggregate Price Index?
36. A chain index linking price relatives for 2022-23 and 2023-24 shows that prices increased by 5% in the first period and 7% in the second period. If the base index for 2022-23 was 100, what is the index for 2023-24?
37. When constructing a weighted index, the weights typically reflect:
38. If an index of employment shows a change from 95 to 105 over two years, what does this signify?
39. If the index of agricultural production for a region was 120 in Year 1 and 132 in Year 2, and it's a quantity index, what is the percentage change in agricultural output?
40. A simple aggregate price index is constructed by summing the prices of a basket of goods. If the sum of current prices is ₹250 and the sum of base prices is ₹200, what is the index value?
41. Which of the following indices is designed to minimize both upward and downward biases by taking the geometric mean of Laspeyres and Paasche indices?
42. If the base year index for all economic indicators is set to 100, and the index for a particular sector's output grows to 150, what does this imply about the sector's output?
43. What is the primary challenge when using a fixed-base Laspeyres index over a long period?
44. Consider the following: Commodity A: P0=₹15, P1=₹18, Q0=20. Commodity B: P0=₹25, P1=₹28, Q0=10. Calculate the Laspeyres Price Index.
45. Which of the following best describes the purpose of an index number in economics?
46. If the price of a certain commodity in the base year was ₹50, and in the current year it is ₹70, what is the price relative for this commodity?
47. When calculating a weighted index, if the base year quantities used as weights are not updated for several years, the index might be biased upwards due to:
48. Consider a basket of three items with the following data: Item 1 (P0=₹10, Q0=50, P1=₹12), Item 2 (P0=₹20, Q0=30, P1=₹25), Item 3 (P0=₹30, Q0=20, P1=₹33). Calculate the Laspeyres Price Index.
49. If a quantity index shows a change from 120 to 130, what is the percentage change in quantity?
50. Which factor would make a fixed-base Laspeyres price index a less accurate measure of inflation over a long period?
51. If the base year index is 100, and the current year index for a basket of goods is 135, what does this imply about the average price level?
52. If the price of commodity X doubled and the price of commodity Y halved, and both have equal weights in a simple aggregate index, what would be the approximate effect on the index?
53. What is the main challenge in using the 'omitted goods bias' correction in price indices?
54. If the Laspeyres Price Index for a country's imports is 120 and the Paasche Price Index is 115, what is the likely reason for this difference?
55. A simple aggregate quantity index for a basket of agricultural products changed from 110 to 125 over a year. What is the percentage change in the quantity of these products?
56. Which of the following is NOT a characteristic of a fixed-base index number?
57. If the price of Good A (weight 40%) doubled, and the price of Good B (weight 60%) remained unchanged, and the base index was 100, what would be the new index value for a weighted aggregate index?
58. What is the primary characteristic that differentiates a price index from a quantity index?
59. If the simple aggregate price index for a basket of goods increased by 10%, what is the most direct interpretation?
60. The 'ageing of the basket' problem in price indices is most closely related to:

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