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 54 of 66
Question #1061
Which of the following statements about crude birth rate (CBR) is true?
A. CBR is a refined measure of fertility.
B. CBR = (Total births / Total female population) × 1000
C. CBR includes only male births.
D. CBR is affected by the age structure of the population.
Discuss
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Correct Answer: Option D

Explanation:
CBR uses total population, so age composition influences it.
This question belongs to: Accountancy and Statistics Statistics
Question #1062
The denominator of maternal mortality ratio is:
A. Total population
B. Women of reproductive age
C. Total deaths
D. Live births
Discuss
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Correct Answer: Option D

Explanation:
MMR = (Maternal deaths / Live births) × 100,000.
This question belongs to: Accountancy and Statistics Statistics
Question #1063
A life table radix l₀ of 100,000 means:
A. The population size
B. Life expectancy
C. A hypothetical cohort of 100,000 births
D. Number of deaths
Discuss
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Correct Answer: Option C

Explanation:
l₀ is the initial number of individuals in the life table cohort.
This question belongs to: Accountancy and Statistics Statistics
Question #1064
If a dataset's mean is greater than its median, the skewness is:
A. Zero
B. Positive
C. Negative
D. Cannot be determined
Discuss
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Correct Answer: Option B

Explanation:
Mean > Median typically indicates positive skewness.
This question belongs to: Accountancy and Statistics Statistics
Question #1065
The weighted harmonic mean is used to average:
A. Performance ratios when weights are proportional to denominator
B. Prices when expenditures are equal
C. Speeds when distances vary
D. Growth rates
Discuss
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Correct Answer: Option A

Explanation:
Weighted harmonic mean is appropriate when the weights correspond to the denominator of the ratio.
This question belongs to: Accountancy and Statistics Statistics
Question #1066
A sample survey collects data from a sample to:
A. Register births
B. Make inferences about the population
C. Count entire population
D. Issue passports
Discuss
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Correct Answer: Option B

Explanation:
Sample surveys aim to estimate population parameters.
This question belongs to: Accountancy and Statistics Statistics
Question #1067
If two events are complementary, then:
A. P(A) = P(B)
B. P(A∩B) = P(A)P(B)
C. They are mutually exclusive and exhaustive
D. They are independent
Discuss
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Correct Answer: Option C

Explanation:
Complementary events partition the sample space.
This question belongs to: Accountancy and Statistics Statistics
Question #1068
In attributes, if (AB)=30, (A)=40, (B)=50, N=100, the expected frequency under independence is:
A. 25
B. 20
C. 15
D. 30
Discuss
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Correct Answer: Option B

Explanation:
Expected (AB) = (40×50)/100 = 20.
This question belongs to: Accountancy and Statistics Statistics
Question #1069
The CPI for agricultural labourers (CPI-AL) is compiled by:
A. NITI Aayog
B. Labour Bureau
C. NSO
D. RBI
Discuss
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Correct Answer: Option B

Explanation:
Labour Bureau compiles CPI-AL.
This question belongs to: Accountancy and Statistics Statistics
Question #1070
The population of India in 2023 is estimated to be:
A. 1.2 billion
B. 1.3 billion
C. 1.4 billion
D. 1.5 billion
Discuss
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Correct Answer: Option C

Explanation:
India's population surpassed 1.4 billion around 2023.
This question belongs to: Accountancy and Statistics Statistics
Question #1071
The term 'demographic transition' refers to:
A. Increase in population density
B. Migration from rural to urban areas
C. Shift from high birth and death rates to low birth and death rates
D. Change in age structure only
Discuss
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Correct Answer: Option C

Explanation:
Demographic transition is the historical shift from high fertility/mortality to low fertility/mortality.
This question belongs to: Accountancy and Statistics Statistics
Question #1072
If a group of 50 students has an average weight of 55 kg and another group of 30 students has an average weight of 45 kg, the combined average is:
A. 52 kg
B. 50 kg
C. 51.25 kg
D. 53.75 kg
Discuss
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Correct Answer: Option C

Explanation:
Sum = 50×55 + 30×45 = 2750 + 1350 = 4100, total = 80, mean = 4100/80 = 51.25.
This question belongs to: Accountancy and Statistics Statistics
Question #1073
The Laspeyres index formula is:
A. √( Σp₁q₀/Σp₀q₀ × Σp₁q₁/Σp₀q₁ ) × 100
B. Σp₁q₁ / Σp₀q₁ × 100
C. Σp₁q₀ / Σp₀q₀ × 100
D. Σp₁q₁ / Σp₀q₀ × 100
Discuss
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Correct Answer: Option C

Explanation:
Laspeyres uses base period weights.
This question belongs to: Accountancy and Statistics Statistics
Question #1074
The time reversal test is satisfied by:
A. Simple aggregative index
B. Paasche index
C. Laspeyres index
D. Fisher index
Discuss
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Correct Answer: Option D

Explanation:
Fisher is the only one among these that satisfies time reversal test.
This question belongs to: Accountancy and Statistics Statistics
Question #1075
In a frequency distribution, the cumulative frequency of the last class is equal to:
A. Class width
B. Zero
C. Number of classes
D. Total frequency N
Discuss
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Correct Answer: Option D

Explanation:
Cumulative frequency accumulates all frequencies; the last cumulative frequency equals total frequency.
This question belongs to: Accountancy and Statistics Statistics
Question #1076
If a dataset has a standard deviation of zero, then:
A. Mean is zero
B. Data are missing
C. All values are equal
D. Median is zero
Discuss
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Correct Answer: Option C

Explanation:
No variation implies all values are identical.
This question belongs to: Accountancy and Statistics Statistics
Question #1077
The probability of an event A is 0.2. The odds in favor of A are:
A. 1:5
B. 1:4
C. 5:1
D. 4:1
Discuss
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Correct Answer: Option B

Explanation:
Odds = P(A) : P(A') = 0.2 : 0.8 = 1:4.
This question belongs to: Accountancy and Statistics Statistics
Question #1078
In a Poisson distribution, P(X=0) = e^{-λ}. If λ=2, P(X=0) is about:
A. 0.05
B. 0.135
C. 0.271
D. 0.2
Discuss
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Correct Answer: Option B

Explanation:
e^{-2} ≈ 0.1353.
This question belongs to: Accountancy and Statistics Statistics
Question #1079
The neonatal mortality rate in India is about:
A. 35 per 1000
B. 50 per 1000
C. 25 per 1000
D. 20 per 1000 live births
Discuss
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Correct Answer: Option D

Explanation:
NMR is around 20-23 per 1000 in recent years.
This question belongs to: Accountancy and Statistics Statistics
Question #1080
The total fertility rate in India is currently around replacement level (2.1). Which state has the highest TFR?
A. Tamil Nadu
B. Kerala
C. Bihar
D. West Bengal
Discuss
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Correct Answer: Option C

Explanation:
Bihar has one of the highest TFRs (around 3.0).
This question belongs to: Accountancy and Statistics Statistics

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