Statistics MCQs

Accountancy and Statistics

Statistics MCQs

Practice complete Statistics MCQs covering Primary & Secondary Data, Data Collection Methods, Questionnaire, Tabulation & Compilation of Data, Measures of Central Tendency, Probability, Theory of Attributes, Index Numbers, Demography, Census, Vital Statistics, Fertility Measures, and all other important topics. Includes chapter-wise and exam-oriented multiple choice questions with detailed answers and explanations for JKSSB, SSC, Banking, UPSC, CUET, University, and other competitive exams.

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Total Questions

Practice Questions

Page 20 of 66
Question #381
For perfect positive association between attributes A and B, we expect:
A. Both (Aβ) and (αB) = 0
B. (AB) = 0
C. (Aβ) = 0
D. (αB) = 0
Discuss
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Correct Answer: Option A

Explanation:
Perfect positive association means all A's are B's and all B's are A's, so no A without B and no B without A.
This question belongs to: Accountancy and Statistics Statistics
Question #382
The condition that the ultimate class frequencies must be non-negative ensures:
A. Independence
B. Association
C. Consistency of data
D. Positive association
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Correct Answer: Option C

Explanation:
Consistency requires all ultimate frequencies to be ≥ 0, otherwise the data contain contradictions.
This question belongs to: Accountancy and Statistics Statistics
Question #383
A researcher finds (A)=100, (AB)=110. This data is:
A. Inconsistent
B. Consistent
C. Indicates perfect association
D. None
Discuss
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Correct Answer: Option A

Explanation:
(AB) cannot exceed (A) as it is a subset; 110 > 100 violates this, so data inconsistent.
This question belongs to: Accountancy and Statistics Statistics
Question #384
If the number of observations possessing A is 70, B is 60, and AB is 50, then the number possessing neither is 20. The data are:
A. Inconsistent
B. Consistent
C. Complete association
D. Independent
Discuss
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Correct Answer: Option B

Explanation:
Check all ultimate classes: (AB)=50, (Aβ)=70-50=20, (αB)=60-50=10, (αβ)=20. Sum=50+20+10+20=100, all non-negative. Consistent.
This question belongs to: Accountancy and Statistics Statistics
Question #385
Laspeyres price index is 115 and Paasche price index is 110. The Bowley index (arithmetic mean of L and P) is approximately:
A. 113.5
B. 112.5
C. 112.0
D. 110.0
Discuss
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Correct Answer: Option B

Explanation:
Bowley index = (L+P)/2 = (115+110)/2 = 112.5. (Note: some books call Marshall-Edgeworth-Bowley index, but this is simple arithmetic average).
This question belongs to: Accountancy and Statistics Statistics
Question #386
Fisher's ideal index is 120 and Laspeyres index is 125. Paasche index is:
A. 115.2
B. 116.0
C. 115.0
D. 117.6
Discuss
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Correct Answer: Option A

Explanation:
F = √(L×P) ⇒ 120 = √(125×P) ⇒ 14400 = 125×P ⇒ P = 115.2.
This question belongs to: Accountancy and Statistics Statistics
Question #387
The time reversal test is satisfied by which of the following weighted index formulas?
A. Paasche
B. Laspeyres
C. Both A and C
D. Fisher
Discuss
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Correct Answer: Option D

Explanation:
Only Fisher's index satisfies time reversal; L and P do not.
This question belongs to: Accountancy and Statistics Statistics
Question #388
If the price index for 2021 (base 2020) is 110 and for 2022 (base 2021) is 105, the chain index for 2022 with base 2020 is:
A. 115.0
B. 115.5
C. 105.0
D. 110.0
Discuss
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Correct Answer: Option B

Explanation:
Chain index = 110 × (105/100) = 115.5.
This question belongs to: Accountancy and Statistics Statistics
Question #389
The circular test is satisfied by:
A. Chain index using fixed weight price relatives
B. Fixed weight aggregates
C. Both A and C
D. Fisher index
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Correct Answer: Option C

Explanation:
Fixed weight aggregates and chain indices with consistent linking can satisfy circular test, while Fisher does not.
This question belongs to: Accountancy and Statistics Statistics
Question #390
The index number that uses the geometric mean of price relatives with base year value weights is:
A. Fisher index
B. Theil-Tornqvist index
C. Walsh index
D. Marshall-Edgeworth index
Discuss
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Correct Answer: Option B

Explanation:
Theil-Tornqvist index uses base and current value shares as weights for geometric mean of price relatives.
This question belongs to: Accountancy and Statistics Statistics
Question #391
If the price index is 125 and the quantity index is 120, the value index is:
A. 145
B. 125
C. 150
D. 130
Discuss
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Correct Answer: Option C

Explanation:
Value ratio = price ratio × quantity ratio. In index form (decimal), 1.25 × 1.20 = 1.50, i.e., 150.
This question belongs to: Accountancy and Statistics Statistics
Question #392
In India, the consumer price index for agricultural labourers (CPI-AL) is compiled by:
A. NSSO
B. CSO
C. RBI
D. Labour Bureau
Discuss
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Correct Answer: Option D

Explanation:
Labour Bureau compiles CPI-AL and CPI-RL (rural labourers).
This question belongs to: Accountancy and Statistics Statistics
Question #393
The Wholesale Price Index (WPI) excludes:
A. Manufactured products
B. Fuel and power
C. Primary articles
D. Services
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Correct Answer: Option D

Explanation:
WPI covers only goods; it does not include services, unlike CPI.
This question belongs to: Accountancy and Statistics Statistics
Question #394
If the base year WPI is 100 and the current year WPI is 120, the inflation rate is:
A. 80%
B. 16.67%
C. 120%
D. 20%
Discuss
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Correct Answer: Option D

Explanation:
Inflation rate = (120-100)/100 × 100% = 20%.
This question belongs to: Accountancy and Statistics Statistics
Question #395
Cost of Living Index is primarily used for:
A. Measuring industrial production
B. Adjusting dearness allowance
C. Calculating trade balance
D. Calculating GDP
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Correct Answer: Option B

Explanation:
It is used to adjust salaries and wages to maintain purchasing power.
This question belongs to: Accountancy and Statistics Statistics
Question #396
The base year of the current series of CPI-IW (2016 series) is:
A. 2001
B. 2010
C. 2016
D. 2012
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Correct Answer: Option C

Explanation:
The current CPI-IW series has base year 2016, replacing the 2001 series.
This question belongs to: Accountancy and Statistics Statistics
Question #397
Demography is the statistical study of:
A. Vital events only
B. Economic variables
C. Animal population
D. Human population
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Correct Answer: Option D

Explanation:
Demography focuses on human populations, their size, structure, and changes.
This question belongs to: Accountancy and Statistics Statistics
Question #398
Which of the following is NOT a component of population change?
A. Mortality
B. Migration
C. Fertility
D. Inflation
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Correct Answer: Option D

Explanation:
Population change results from births, deaths, and migration; inflation is an economic concept.
This question belongs to: Accountancy and Statistics Statistics
Question #399
The de facto method of census enumeration counts:
A. All usual residents regardless of location
B. Only citizens
C. Only permanent residents
D. All persons present in the country at the census moment
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Correct Answer: Option D

Explanation:
De facto method enumerates people where they are found on census night, including temporary visitors.
This question belongs to: Accountancy and Statistics Statistics
Question #400
Which country has the largest population according to current estimates (2023)?
A. Indonesia
B. India
C. USA
D. China
Discuss
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Correct Answer: Option B

Explanation:
As of 2023, India surpassed China to become the world's most populous country.
This question belongs to: Accountancy and Statistics Statistics

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