Free Index Numbers and Time Series MCQs with Answers
34 Index Numbers and Time Series MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
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- A. Simple average of relatives
- B. Average of weights
- C. Weighted average of relatives
- D. All of above
Explanation: The household budget method calculates CPI as a weighted average of price relatives, with household expenditure shares serving as weights.
Correct answer: Weighted average of relatives- A. Household price index
- B. Retail price index
- C. Both a and b
- D. None of these
Explanation: CPI is commonly called the retail price index because it measures changes in prices paid by consumers, and it may also be described as a…
Correct answer: Both a and b- A. Quantity index number
- B. Price index number
- C. Value index number
- D. None of these
Explanation: Price index numbers are most widely used because they measure changes in the general price level and inflation.
Correct answer: Price index number- A. Place
- B. Yearly
- C. Time
- D. None
Explanation: A time series arranges observations in chronological order, such as daily, monthly, or yearly values.
Correct answer: Time- A. Regards the base year quantities as fixed
- B. Regards the base year price as fixed
- C. Regards the current year quantities as fixed
- D. non of these
Explanation: The Laspeyres index uses base-year quantities as weights while comparing prices between periods.
Correct answer: Regards the base year quantities as fixed- A. To measure changes in quantity
- B. To measure changes in price
- C. To measure changes in a variable over time
- D. To measure changes in demand
Explanation: An index number expresses the relative change in a variable, or group of variables, over time using a reference period.
Correct answer: To measure changes in a variable over time- A. Taking A.M. of Laspeyre's and Paasche's index
- B. Taking G.M. of Laspeyre's and Paasche's index
- C. Both (a) and (b)
- D. None of these
Explanation: Fisher's ideal index is the geometric mean of the Laspeyres and Paasche indices: √(L × P). The arithmetic mean is not Fisher's formula.
Correct answer: Taking G.M. of Laspeyre's and Paasche's index- A. Laspeyre's index
- B. Paasche's index
- C. Fisher's index
- D. None of these
Explanation: Laspeyres uses base-year quantities, q₀, as weights, so it measures the cost of the base-period basket at current prices.
Correct answer: Laspeyre's index- A. ∑pn(Po + Pn)/ ∑pn (Po + Pn)
- B. ∑qn(qo + qn)/∑qn(po + pn) x100
- C. ∑pn(qo + qn)/∑pn
- D. ∑qn(Po + Pn)/ ∑qo (Po + Pn) x100
Explanation: The Marshall-Edgeworth volume index uses the average of base- and current-period prices as weights: Σqₙ(p₀+pₙ) divided by Σq₀(p₀+pₙ)…
Correct answer: ∑qn(Po + Pn)/ ∑qo (Po + Pn) x100- A. Wholesale
- B. Relatives
- C. commodities
- D. Time series
Explanation: Seasonal and cyclical movements are types of variation studied in time series.
Correct answer: Time series- A. Yearly
- B. Basely
- C. Timely
- D. Averagely
Explanation: A weighting system changes with time when the relative importance or consumption pattern of items changes across periods.
Correct answer: Timely- A. Pn/Po x 100
- B. Pn/Po x 100
- C. Pn/ Pn-1 x100
- D. Pn/P1 x 100
Explanation: A link relative compares the current period with the immediately preceding period, so it is Pₙ/Pₙ₋₁ × 100.
Correct answer: Pn/ Pn-1 x100- A. Overall
- B. Same
- C. Variation
- D. Capable
Explanation: An index number condenses the overall change in one or more related variables into a single figure, usually relative to a base period.
Correct answer: Overall- A. Index Number
- B. Special purpose
- C. Reliable
- D. Scope
Explanation: The objective of constructing an index determines its scope, including the variables, items, population and period covered.
Correct answer: Scope- A. Three
- B. Two
- C. Four
- D. One
Explanation: Index numbers commonly use three types of averages: arithmetic mean, geometric mean and harmonic mean.
Correct answer: Three- A. Paasche's Index Number
- B. Marshall and Laspeyr'es
- C. Laspeyre's and Paasche's
- D. Fisher and Paasche's
Explanation: Fisher's index is the geometric mean of the Laspeyres and Paasche indices, calculated as the square root of their product.
Correct answer: Laspeyre's and Paasche's- A. Cost Living Index number
- B. Whole Sale Index number
- C. weighted Index Number
- D. Consumer Index Number
Explanation: The Consumer Price Index tracks changes in the prices of goods and services purchased by consumers, so it is also called the Cost of…
Correct answer: Cost Living Index number- A. Kind
- B. Chain relative
- C. Purpose
- D. Price
Explanation: An index number is designed for a particular objective, such as measuring prices, quantities or the cost of living, so no single index…
Correct answer: Purpose- A. Change a simple index to a weight index
- B. Convert the Paasche index to a Laspeyres index
- C. Change the base year
- D. change an aggregate index to a weighted index
Explanation: Multiplying an index by a scaling factor changes its reference base while preserving the measured relative movement.
Correct answer: Change the base year- A. The Laspeyres price index
- B. The Paasche quantity index
- C. The Laspeyres quantity index
- D. The Paasche price index
Explanation: The formula uses current quantities, qn, valued at base-period prices, p0, and compares them with base quantities valued at p0.
Correct answer: The Laspeyres quantity indexIndex Numbers and Time Series MCQs: common questions
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