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

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Question #21
In the Theory of Attributes, an attribute whose presence is denoted by a capital letter (e.g., A) is called a:
A. Negative attribute
B. Associated attribute
C. Positive attribute
D. Independent attribute
Discuss
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Correct Answer: Option C

Explanation:
Positive attributes denote the presence of a characteristic and are traditionally represented by capital letters.
This question belongs to: Accountancy and Statistics Statistics
Question #22
If N = 100, (A) = 60, (B) = 50, what is the condition for attributes A and B to be independent?
A. (AB) = 110
B. (AB) = 30
C. (AB) = 0
D. (AB) = 10
Discuss
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Correct Answer: Option B

Explanation:
Two attributes are independent if (AB) = (A) × (B) / N. Here, (60 × 50) / 100 = 30.
This question belongs to: Accountancy and Statistics Statistics
Question #23
Which coefficient is commonly used to measure the association of attributes?
A. Yule's coefficient of association
B. Fisher's coefficient
C. Karl Pearson's coefficient
D. Spearman's rank coefficient
Discuss
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Correct Answer: Option A

Explanation:
Yule's coefficient (Q) specifically measures the intensity of association between two dichotomous qualitative attributes.
This question belongs to: Accountancy and Statistics Statistics
Question #24
What is the order of the class frequency denoted by (A)?
A. Second order
B. First order
C. Ultimate order
D. Zero order
Discuss
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Correct Answer: Option B

Explanation:
The order of a class frequency depends on the number of attributes it involves. (A) involves one attribute, making it first order.
This question belongs to: Accountancy and Statistics Statistics
Question #25
Data consistency in the theory of attributes requires that:
A. Both A and C
B. Ultimate class frequencies must be positive or zero
C. All class frequencies must equal N
D. No class frequency can be negative
Discuss
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Correct Answer: Option A

Explanation:
For data to be consistent, no ultimate (or any) class frequency can be less than zero.
This question belongs to: Accountancy and Statistics Statistics
Question #26
Index numbers are generally known as:
A. Trend setters
B. Economic barometers
C. Statistical multipliers
D. Demographic indicators
Discuss
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Correct Answer: Option B

Explanation:
Index numbers measure changes in the level of an economic phenomenon over time, earning the title 'economic barometers'.
This question belongs to: Accountancy and Statistics Statistics
Question #27
Laspeyres' price index formula uses which of the following as weights?
A. Average of base and current year quantities
B. Base year quantities
C. Current year quantities
D. Arbitrary quantities
Discuss
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Correct Answer: Option B

Explanation:
Laspeyres' index uses base year quantities (q0) as weights to measure price changes.
This question belongs to: Accountancy and Statistics Statistics
Question #28
Fisher's Ideal Index Number is the:
A. Arithmetic mean of Laspeyres and Paasche index numbers
B. Geometric mean of Laspeyres and Paasche index numbers
C. Harmonic mean of Laspeyres and Paasche index numbers
D. Median of Laspeyres and Paasche index numbers
Discuss
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Correct Answer: Option B

Explanation:
Fisher's index is calculated as the geometric mean of Laspeyres and Paasche indices, balancing their upward and downward biases.
This question belongs to: Accountancy and Statistics Statistics
Question #29
Which index number is most commonly used to measure inflation and changes in the purchasing power of money for standard households?
A. Sensex
B. Wholesale Price Index
C. Consumer Price Index (Cost of Living Index)
D. Index of Industrial Production
Discuss
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Correct Answer: Option C

Explanation:
The CPI (or Cost of Living Index) measures the average change in prices paid by consumers for a basket of goods and services.
This question belongs to: Accountancy and Statistics Statistics
Question #30
Which formula fails the Factor Reversal Test?
A. Both B and C
B. Laspeyres' Index
C. Fisher's Ideal Index
D. Marshall-Edgeworth Index
Discuss
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Correct Answer: Option A

Explanation:
Only Fisher's Ideal Index satisfies both the Time Reversal and Factor Reversal Tests; Laspeyres and Marshall-Edgeworth fail the factor test.
This question belongs to: Accountancy and Statistics Statistics
Question #31
Demography is primarily the statistical study of:
A. Human populations
B. Agricultural yield
C. Economic output
D. Industrial production
Discuss
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Correct Answer: Option A

Explanation:
Demography studies human populations, including their size, structure, distribution, and spatial/temporal changes.
This question belongs to: Accountancy and Statistics Statistics
Question #32
In a modern population census, 'de facto' enumeration refers to counting people:
A. Based on their legal voting constituency
B. Where they are found on the day of the census
C. At their usual place of residence
D. Based on their place of birth
Discuss
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Correct Answer: Option B

Explanation:
The de facto method counts individuals exactly where they are present on the night of the census.
This question belongs to: Accountancy and Statistics Statistics
Question #33
Which of the following is NOT a fundamental feature of a national Census?
A. Sampling subset estimation
B. Simultaneity
C. Universality within a defined territory
D. Individual enumeration
Discuss
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Correct Answer: Option A

Explanation:
A census aims for complete enumeration (100% count), whereas sampling involves estimating based on a subset.
This question belongs to: Accountancy and Statistics Statistics
Question #34
Vital statistics primarily deal with demographic events such as:
A. Income and expenditure
B. Employment and inflation
C. Births, deaths, and marriages
D. Export and import
Discuss
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Correct Answer: Option C

Explanation:
Vital statistics are data relating to life events, primarily births, deaths, marriages, and divorces in a population.
This question belongs to: Accountancy and Statistics Statistics
Question #35
The Crude Birth Rate (CBR) is defined as the number of live births per:
A. 100,000 mid-year population
B. 1,000 mid-year population
C. 100 women in the childbearing age
D. 1,000 women in the childbearing age
Discuss
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Correct Answer: Option B

Explanation:
CBR is the simplest measure of fertility, calculated as (Total Live Births / Mid-year Population) × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #36
Which fertility measure accounts for the age structure of the female population in the reproductive age group?
A. Crude Birth Rate
B. Gross Reproduction Rate
C. Age Specific Fertility Rate
D. General Fertility Rate
Discuss
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Correct Answer: Option C

Explanation:
Age Specific Fertility Rate (ASFR) calculates fertility for specific age groups of women, removing the bias of age structure.
This question belongs to: Accountancy and Statistics Statistics
Question #37
Net Reproduction Rate (NRR) differs from Gross Reproduction Rate (GRR) because NRR takes into account:
A. Male births
B. Economic status
C. Mortality rates of mothers
D. Migration rates
Discuss
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Correct Answer: Option C

Explanation:
NRR adjusts the GRR by factoring in the probability that a female child will survive through her reproductive years.
This question belongs to: Accountancy and Statistics Statistics
Question #38
If the Net Reproduction Rate (NRR) is exactly 1, what does it signify for the population over the long term, assuming no migration?
A. The population will eventually shrink
B. The population is exactly replacing itself
C. The population will double in one generation
D. The population will grow exponentially
Discuss
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Correct Answer: Option B

Explanation:
An NRR of 1 means each woman is replacing herself with exactly one surviving daughter, indicating replacement-level fertility.
This question belongs to: Accountancy and Statistics Statistics
Question #39
Infant Mortality Rate (IMR) measures the number of deaths of infants under the age of:
A. 5 years per 1,000 live births
B. 1 year per 1,000 total population
C. 1 month per 1,000 live births
D. 1 year per 1,000 live births
Discuss
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Correct Answer: Option D

Explanation:
IMR is defined as the number of deaths of children less than 1 year old per 1,000 live births in a given year.
This question belongs to: Accountancy and Statistics Statistics
Question #40
Maternal Mortality Ratio (MMR) is conventionally expressed per:
A. 1,000,000 live births
B. 10,000 live births
C. 100,000 live births
D. 1,000 live births
Discuss
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Correct Answer: Option C

Explanation:
MMR is defined globally as the number of maternal deaths per 100,000 live births to track obstetric risks.
This question belongs to: Accountancy and Statistics Statistics

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