All Free Statistics MCQs with Answers

Every Statistics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

545 questions · page 17 of 28

  • 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 index
  • A. Aggregate index numbers
  • B. Weighted index numbers
  • C. Weighted price index only
  • D. Weighted quantity index only

Explanation: Laspeyres and Paasche indices use weights, usually quantities from the base or current period, so both belong to weighted index numbers.

Correct answer: Weighted index numbers
  • A. Ignores relative quantities
  • B. Compares relative quantities to relative prices
  • C. Compares absolute prices to absolute quantities
  • D. Compares relative quantities

Explanation: A simple aggregate price index is calculated from the sum of current prices divided by the sum of base-period prices, multiplied by 100.

Correct answer: Ignores relative quantities
  • A. Price decrease
  • B. Price absolute
  • C. Price increase
  • D. Price relative

Explanation: A price relative compares a commodity's price in the new period with its price in the base period, usually written as Pn/Po × 100.

Correct answer: Price relative
  • A. 100
  • B. 200
  • C. The price of that year
  • D. None of these

Explanation: The base period is assigned an index value of 100 by convention, and all other period values are interpreted relative to it.

Correct answer: 100
  • A. ∑pn/∑po x100
  • B. pn/po x100
  • C. pn/pn-1 x100
  • D. Both (a) and (b) but not (c)

Explanation: A chain index compares each period with the immediately preceding period, so its link relative is Pn/Pn−1 × 100.

Correct answer: pn/pn-1 x100
  • A. Fixed
  • B. Constant
  • C. Change
  • D. None of these

Explanation: In the chain-base method, the reference period changes from one link to the next, so each period is compared with the preceding period.

Correct answer: Change
  • A. Science
  • B. Education
  • C. Intelligence
  • D. Business

Explanation: Index numbers summarize changes in prices, quantities, or values and are widely used in economics and business for comparison and…

Correct answer: Business
  • A. variable
  • B. Region of goods
  • C. Device
  • D. CostPolitical Science Mcqs

Explanation: An index number is a statistical device for measuring changes in a variable or a group of related variables over time.

Correct answer: Device
  • A. Simple 1. No.
  • B. Aggregative 1. No.
  • C. Appropriate
  • D. Quantity Index Number

Explanation: A quantity index number measures changes in the physical quantities of goods, such as units produced or sold.

Correct answer: Quantity Index Number
  • A. Fixed Method
  • B. Chain Method
  • C. Aggregation Method
  • D. Volume

Explanation: In the chain-base method, each period is compared with the immediately preceding period, so the preceding year’s price is used.

Correct answer: Chain Method
  • A. Four
  • B. Three
  • C. Five
  • D. Two

Explanation: Weighted index numbers are commonly divided into two main categories: weighted aggregative indices and weighted average-of-price-relatives…

Correct answer: Two
  • A. Price relative
  • B. Link relative
  • C. Retail prices
  • D. None of these

Explanation: The price relative is the current-year price divided by the base-year price, multiplied by 100.

Correct answer: Price relative
  • A. Sensitive Price Index number
  • B. Consumer Index Number
  • C. Simple Aggregation 1. Number
  • D. Chain Indices

Explanation: An index covering several items is an aggregate or composite index; the listed option refers to a simple aggregative index number.

Correct answer: Simple Aggregation 1. Number
  • A. Commodities
  • B. Time Series
  • C. Whole sale
  • D. Realtives

Explanation: Seasonal and cyclical movements are components of a time series, and index-number techniques can help measure such variations.

Correct answer: Time Series