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.

1318
Total Questions

Practice Questions

Page 32 of 66
Question #621
The geometric mean is more appropriate than the arithmetic mean when the data are:
A. Qualitative
B. Negative
C. Multiplicative in nature (ratios, growth rates)
D. Additive in nature
Discuss
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Correct Answer: Option C

Explanation:
GM is suited for averaging ratios because it reflects compounding.
This question belongs to: Accountancy and Statistics Statistics
Question #622
The harmonic mean of 1 and 1 is:
A. 1
B. 2
C. Undefined
D. 0.5
Discuss
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Correct Answer: Option A

Explanation:
HM = 2 / (1+1) = 1.
This question belongs to: Accountancy and Statistics Statistics
Question #623
If all observations are multiplied by a constant k, the geometric mean is multiplied by:
A. k/n
B. k²
C. 1/k
D. k
Discuss
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Correct Answer: Option D

Explanation:
GM of (kx) = k × GM of x, since GM(kx) = (kⁿ ∏x)^(1/n) = k (∏x)^(1/n).
This question belongs to: Accountancy and Statistics Statistics
Question #624
Two events are said to be exhaustive if:
A. Their union is the entire sample space
B. They have equal probabilities
C. They are independent
D. They cannot occur together
Discuss
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Correct Answer: Option A

Explanation:
Exhaustive events cover all possible outcomes.
This question belongs to: Accountancy and Statistics Statistics
Question #625
If A and B are independent, then P(A|B) equals:
A. P(B)
B. P(A) + P(B)
C. P(A∩B)
D. P(A)
Discuss
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Correct Answer: Option D

Explanation:
Independence means the occurrence of B does not affect the probability of A.
This question belongs to: Accountancy and Statistics Statistics
Question #626
In Bayes' theorem, the initial probabilities before observing evidence are called:
A. Marginal probabilities
B. Likelihoods
C. Posterior probabilities
D. Prior probabilities
Discuss
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Correct Answer: Option D

Explanation:
Prior probabilities represent the initial degree of belief.
This question belongs to: Accountancy and Statistics Statistics
Question #627
The data on attributes can be presented in a:
A. Pie chart only
B. Histogram
C. 2×2 contingency table
D. 3×3 table only
Discuss
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Correct Answer: Option C

Explanation:
Two attributes with two categories each lead to a 2×2 table.
This question belongs to: Accountancy and Statistics Statistics
Question #628
A fixed base index number series is one where:
A. The base period changes every year
B. Only geometric mean is used
C. All periods are compared to a single fixed base period
D. Weights change every period
Discuss
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Correct Answer: Option C

Explanation:
In fixed base method, a particular year is chosen as base and all other years are compared to it.
This question belongs to: Accountancy and Statistics Statistics
Question #629
The Laspeyres quantity index uses:
A. Base period quantities as weights
B. Current period prices as weights
C. Current period quantities as weights
D. Base period prices as weights
Discuss
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Correct Answer: Option D

Explanation:
Laspeyres quantity index = Σp₀q₁ / Σp₀q₀ × 100.
This question belongs to: Accountancy and Statistics Statistics
Question #630
The Fisher index is also known as:
A. Cost index
B. Ideal index
C. Simple index
D. Chain index
Discuss
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Correct Answer: Option B

Explanation:
Fisher termed his index 'ideal' because it satisfies time reversal and factor reversal tests.
This question belongs to: Accountancy and Statistics Statistics
Question #631
The CPI for agricultural labourers (CPI-AL) is used to:
A. Adjust wages of agricultural labourers
B. Regulate stock market
C. Measure industrial growth
D. Calculate GDP
Discuss
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Correct Answer: Option A

Explanation:
CPI-AL is primarily used to revise minimum wages for agricultural workers.
This question belongs to: Accountancy and Statistics Statistics
Question #632
In the chain base method, each link relative is:
A. Current period price / fixed base period price
B. Average of two periods
C. Base period price / current period price
D. Current period price / immediately preceding period price
Discuss
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Correct Answer: Option D

Explanation:
Link relatives compare each period with the previous period.
This question belongs to: Accountancy and Statistics Statistics
Question #633
The time reversal test checks whether an index number yields consistent results when:
A. The base and current periods are reversed
B. Units are changed
C. The formula is applied to different data
D. Weights are changed
Discuss
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Correct Answer: Option A

Explanation:
The product of the forward and backward indices should be 1.
This question belongs to: Accountancy and Statistics Statistics
Question #634
The factor reversal test links:
A. Two different base years
B. Price index and cost of living index
C. Time series and cross-sectional data
D. Price index and quantity index to the value ratio
Discuss
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Correct Answer: Option D

Explanation:
It requires Price index × Quantity index = Value index.
This question belongs to: Accountancy and Statistics Statistics
Question #635
A census is conducted in India under the:
A. National Statistical Commission Act
B. Constitution of India
C. Census Act, 1948
D. Registration of Births and Deaths Act
Discuss
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Correct Answer: Option C

Explanation:
The Census Act, 1948 provides the legal framework for conducting the census.
This question belongs to: Accountancy and Statistics Statistics
Question #636
The de jure method of census enumeration counts:
A. All persons according to their usual place of residence
B. Only citizens
C. All persons present on census night
D. Only males
Discuss
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Correct Answer: Option A

Explanation:
De jure method enumerates people at their usual residence regardless of where they were on census night.
This question belongs to: Accountancy and Statistics Statistics
Question #637
Which of the following is a demographic characteristic?
A. Occupation
B. Income
C. Education
D. Age
Discuss
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Correct Answer: Option D

Explanation:
Age, sex, marital status are core demographic characteristics.
This question belongs to: Accountancy and Statistics Statistics
Question #638
Vital statistics registration in India is compulsory under the:
A. Indian Evidence Act
B. Registration of Births and Deaths Act, 1969
C. Census Act
D. Population Control Act
Discuss
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Correct Answer: Option B

Explanation:
The RBD Act, 1969 mandates compulsory registration of births and deaths.
This question belongs to: Accountancy and Statistics Statistics
Question #639
The denominator of Crude Death Rate is:
A. Number of live births
B. Number of women
C. Number of elderly
D. Mid-year total population
Discuss
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Correct Answer: Option D

Explanation:
CDR = (Total deaths / Mid-year population) × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #640
Infant mortality rate is high in regions with:
A. Poor sanitation and malnutrition
B. Good healthcare
C. High literacy
D. Low fertility
Discuss
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Correct Answer: Option A

Explanation:
Poor health infrastructure and nutrition lead to higher infant deaths.
This question belongs to: Accountancy and Statistics Statistics

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