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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Practice Questions

Page 51 of 66
Question #1001
If P(A) = 2/3 and P(B) = 1/2 and A, B are independent, then P(A∩B) is:
A. 1/3
B. 1/2
C. 2/3
D. 1/6

Correct Answer: Option A


Explanation:
2/3 × 1/2 = 1/3.

This question belongs to: Accountancy and Statistics Statistics
Question #1002
The complement of the event 'at least one head' in two coin tosses is:
A. Two heads
B. Exactly one head
C. At least one tail
D. No heads (both tails)

Correct Answer: Option D


Explanation:
Complement of 'at least one head' is 'no heads'.

This question belongs to: Accountancy and Statistics Statistics
Question #1003
In the context of attributes, the notation (Aβ) represents:
A. Number not having A and not having B
B. Number having A and B
C. Number having A but not B
D. Number not having A but having B

Correct Answer: Option C


Explanation:
β means not B.

This question belongs to: Accountancy and Statistics Statistics
Question #1004
The Consumer Price Index for Industrial Workers (CPI-IW) is used mainly for:
A. Computing tax rates
B. Dearness allowance revision
C. Measuring agricultural production
D. Calculating GDP

Correct Answer: Option B


Explanation:
CPI-IW is used to adjust wages and allowances of industrial workers.

This question belongs to: Accountancy and Statistics Statistics
Question #1005
Which of the following about Census 2011 is incorrect?
A. The sex ratio was 940 females per 1000 males.
B. The literacy rate was 74.04%.
C. The population was 1.21 billion.
D. It was the 15th Census of India.

Correct Answer: Option A


Explanation:
Sex ratio was 943, not 940.

This question belongs to: Accountancy and Statistics Statistics
Question #1006
The 'life expectancy at birth' in India as per recent SRS is about:
A. 69 years
B. 65 years
C. 72 years
D. 60 years

Correct Answer: Option A


Explanation:
Life expectancy at birth is around 69 years (2014-18).

This question belongs to: Accountancy and Statistics Statistics
Question #1007
Which of the following is a vital event?
A. Marriage
B. Employment
C. Enrollment in school
D. Migration

Correct Answer: Option A


Explanation:
Vital events include births, deaths, marriages, divorces.

This question belongs to: Accountancy and Statistics Statistics
Question #1008
The crude birth rate is called 'crude' because:
A. It is inaccurate
B. It is based on sample
C. It does not account for the age-sex composition
D. It includes stillbirths

Correct Answer: Option C


Explanation:
Crude rates use total population, ignoring structure.

This question belongs to: Accountancy and Statistics Statistics
Question #1009
If a researcher wants to study the association between smoking and lung cancer using a 2×2 table, which coefficient can be used?
A. Time reversal test
B. Fisher's ideal index
C. Yule's Q
D. Coefficient of variation

Correct Answer: Option C


Explanation:
Yule's Q measures association between two attributes.

This question belongs to: Accountancy and Statistics Statistics
Question #1010
In a 2×2 contingency table, if ad > bc, then:
A. A and B are negatively associated
B. A and B are independent
C. A and B are positively associated
D. Data are inconsistent

Correct Answer: Option C


Explanation:
ad > bc indicates positive association.

This question belongs to: Accountancy and Statistics Statistics
Question #1011
Which of the following index numbers does NOT require weights?
A. Fisher index
B. Simple aggregative index
C. Paasche index
D. Laspeyres index

Correct Answer: Option B


Explanation:
Simple aggregative treats all items equally; others are weighted.

This question belongs to: Accountancy and Statistics Statistics
Question #1012
The Paasche index is weighted by:
A. Current period quantities
B. Base period prices
C. Fixed weights
D. Base period quantities

Correct Answer: Option A


Explanation:
Paasche price index uses current quantities as weights.

This question belongs to: Accountancy and Statistics Statistics
Question #1013
The Wholesale Price Index (WPI) in India covers how many major groups?
A. 3
B. 2
C. 4
D. 5

Correct Answer: Option A


Explanation:
WPI comprises Primary Articles, Fuel & Power, and Manufactured Products.

This question belongs to: Accountancy and Statistics Statistics
Question #1014
The National Sample Survey Office (NSSO) conducts surveys on:
A. Stock market indices
B. Consumer expenditure and employment
C. Wholesale prices
D. Corporate profits

Correct Answer: Option B


Explanation:
NSSO conducts socio-economic surveys, including consumer expenditure, employment-unemployment.

This question belongs to: Accountancy and Statistics Statistics
Question #1015
Population policy in India aims to achieve:
A. Increase fertility
B. Stabilization of population by 2045
C. Zero population growth immediately
D. Decrease life expectancy

Correct Answer: Option B


Explanation:
The National Population Policy 2000 aims for population stabilization by 2045.

This question belongs to: Accountancy and Statistics Statistics
Question #1016
The difference between the birth rate and death rate is called:
A. Doubling time
B. Net migration
C. Natural increase
D. Growth rate

Correct Answer: Option C


Explanation:
Natural increase = CBR - CDR (excluding migration).

This question belongs to: Accountancy and Statistics Statistics
Question #1017
If the crude birth rate of a country is 25 and crude death rate is 10, and net migration rate is -2 per 1000, the growth rate is:
A. 37 per 1000
B. 13 per 1000
C. 17 per 1000
D. 15 per 1000

Correct Answer: Option B


Explanation:
Growth rate = 25 - 10 + (-2) = 13 per 1000.

This question belongs to: Accountancy and Statistics Statistics
Question #1018
Which of the following is true for an ideal index number?
A. It should be easy to calculate.
B. It must satisfy time reversal and factor reversal tests.
C. It should use only base period weights.
D. It must be a simple average of relatives.

Correct Answer: Option B


Explanation:
Fisher's ideal index satisfies both tests; these are desirable properties.

This question belongs to: Accountancy and Statistics Statistics
Question #1019
If a time series index shows that prices have doubled from base year, the index is:
A. 1000
B. 50
C. 200
D. 100

Correct Answer: Option C


Explanation:
Doubling means 100% increase, so index = base (100) + 100 = 200.

This question belongs to: Accountancy and Statistics Statistics
Question #1020
In a sample survey, the difference between the sample estimate and the true population value is called:
A. Bias
B. Sampling error
C. Response error
D. Non-sampling error

Correct Answer: Option B


Explanation:
Sampling error arises because only a part of the population is surveyed.

This question belongs to: Accountancy and Statistics Statistics

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