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 49 of 66
Question #961
In a Poisson distribution, mean = variance. If the mean is 4, the probability of exactly 2 occurrences is:
A. 0.1
B. e^{-4} 4^2 / 2! ≈ 0.1465
C. 0.2
D. 0.3
Discuss
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Correct Answer: Option B

Explanation:
P(X=2) = e^{-4} × 16 / 2 = 8 e^{-4} ≈ 8×0.0183=0.1465.
This question belongs to: Accountancy and Statistics Statistics
Question #962
Bayes' theorem is often used in:
A. Testing independence
B. Calculating the mean of a sample
C. Constructing index numbers
D. Updating probabilities after new evidence
Discuss
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Correct Answer: Option D

Explanation:
It's used for probabilistic inference and decision making under uncertainty.
This question belongs to: Accountancy and Statistics Statistics
Question #963
In the theory of attributes, the consistency condition (AB) ≥ 0 is an example of:
A. Ultimate class frequency condition
B. Independence condition
C. Axiom of probability
D. Association condition
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Correct Answer: Option A

Explanation:
All ultimate class frequencies must be non-negative.
This question belongs to: Accountancy and Statistics Statistics
Question #964
If Yule's Q = 0.8, it indicates:
A. Weak association
B. Strong positive association
C. Independence
D. Strong negative association
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Correct Answer: Option B

Explanation:
Q close to +1 indicates strong positive association.
This question belongs to: Accountancy and Statistics Statistics
Question #965
The time reversal test is satisfied if P₀₁ × P₁₀ = 1. This ensures:
A. Index satisfies factor reversal
B. Index is the geometric mean
C. Index uses base year weights
D. Index is free from time bias
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Correct Answer: Option D

Explanation:
Time reversal test checks that the index is symmetrical over time.
This question belongs to: Accountancy and Statistics Statistics
Question #966
Which index number is known as 'ideal'?
A. Marshall-Edgeworth
B. Paasche
C. Fisher
D. Laspeyres
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Correct Answer: Option C

Explanation:
Fisher's index is called ideal because it satisfies time reversal and factor reversal tests.
This question belongs to: Accountancy and Statistics Statistics
Question #967
The CPI-IW base year 2016 is compiled by:
A. NSO
B. RBI
C. Labour Bureau
D. CSO
Discuss
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Correct Answer: Option C

Explanation:
Labour Bureau compiles CPI-IW.
This question belongs to: Accountancy and Statistics Statistics
Question #968
The population growth rate in India (2001-2011) declined primarily due to:
A. Decrease in life expectancy
B. High emigration
C. Increase in death rate
D. Decrease in birth rate
Discuss
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Correct Answer: Option D

Explanation:
Declining fertility rates led to a slower population growth.
This question belongs to: Accountancy and Statistics Statistics
Question #969
The crude birth rate of a population is 30 per 1000 and crude death rate is 8 per 1000. The natural increase rate is:
A. 22 per 1000
B. 2.2%
C. 38 per 1000
D. 3.75%
Discuss
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Correct Answer: Option A

Explanation:
Natural increase = CBR - CDR = 30-8 = 22 per 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #970
A population pyramid with a narrow base and wide top indicates:
A. High birth rate, high death rate
B. Low birth rate, low death rate, aging population
C. High fertility, low mortality
D. High infant mortality
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Correct Answer: Option B

Explanation:
Narrow base means fewer young people; wide top means many elderly, typical of developed countries.
This question belongs to: Accountancy and Statistics Statistics
Question #971
The total fertility rate (TFR) is the sum of age-specific fertility rates multiplied by the width of age interval. If 5-year groups, it is multiplied by:
A. 10
B. 1000
C. 5
D. 1
Discuss
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Correct Answer: Option C

Explanation:
TFR = 5 × Σ ASFR (per woman) if ASFR are computed per 1000 women per 5-year interval and divided by 1000 appropriately. Actually, if ASFRs are in per 1000, TFR = 5 × Σ ASFR_i / 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #972
The NRR is a measure of:
A. Replacement fertility
B. Migration
C. Mortality
D. Crude fertility
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Correct Answer: Option A

Explanation:
NRR indicates whether a generation is replacing itself, accounting for fertility and mortality.
This question belongs to: Accountancy and Statistics Statistics
Question #973
Infant mortality rate (IMR) is expressed as:
A. Infant deaths per 1000 mid-year population
B. Infant deaths per 1000 women
C. Infant deaths per 1000 live births
D. Infant deaths per 1000 children
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Correct Answer: Option C

Explanation:
IMR = (deaths < 1 year / live births) × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #974
Which of the following is a component of HDI (Human Development Index)?
A. Crude Death Rate
B. Gross Reproduction Rate
C. Net Reproduction Rate
D. Life expectancy at birth
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Correct Answer: Option D

Explanation:
HDI includes life expectancy, education, and income.
This question belongs to: Accountancy and Statistics Statistics
Question #975
A researcher wants to compare mortality between two towns with different age structures. She should use:
A. Crude death rate
B. Neonatal mortality rate
C. Infant mortality rate
D. Standardized death rate
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Correct Answer: Option D

Explanation:
Standardization removes the confounding effect of age.
This question belongs to: Accountancy and Statistics Statistics
Question #976
Which of the following is a measure of the speed of population growth?
A. Sex ratio
B. Population doubling time
C. Population density
D. Crude birth rate
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Correct Answer: Option B

Explanation:
Doubling time indicates how long it takes for a population to double at current growth rate.
This question belongs to: Accountancy and Statistics Statistics
Question #977
In a well-designed questionnaire, questions on income should be:
A. In the middle, with no introduction
B. At the beginning to motivate
C. Randomly placed
D. Towards the end, as they are sensitive
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Correct Answer: Option D

Explanation:
Sensitive questions are placed later to build trust and reduce dropout.
This question belongs to: Accountancy and Statistics Statistics
Question #978
The 'source' of data in a table is usually given:
A. In a footnote at the bottom
B. In the title
C. In the box-head
D. In the stub
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Correct Answer: Option A

Explanation:
Source note is placed at the bottom of a table.
This question belongs to: Accountancy and Statistics Statistics
Question #979
For a frequency distribution with classes 0-10, 10-20, 20-30, the class mark of the second class is:
A. 15
B. 25
C. 10
D. 20
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Correct Answer: Option A

Explanation:
Midpoint = (10+20)/2 = 15.
This question belongs to: Accountancy and Statistics Statistics
Question #980
If the mean of a data set is 50 and the coefficient of variation is 20%, the standard deviation is:
A. 10
B. 1000
C. 5
D. 0.4
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Correct Answer: Option A

Explanation:
CV = (SD/mean)×100 ⇒ 20 = (SD/50)×100 ⇒ SD = 10.
This question belongs to: Accountancy and Statistics Statistics

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