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 26 of 66
Question #501
The mode of a dataset is the value that:
A. Occurs most frequently
B. Is the average
C. Is the minimum
D. Lies in the middle
Discuss
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Correct Answer: Option A

Explanation:
Mode is the most common observation.
This question belongs to: Accountancy and Statistics Statistics
Question #502
If every observation in a dataset is doubled, the arithmetic mean:
A. Is also doubled
B. Increases by 2
C. Remains unchanged
D. Becomes half
Discuss
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Correct Answer: Option A

Explanation:
Mean is affected by change of scale; multiplying by 2 scales the mean by 2.
This question belongs to: Accountancy and Statistics Statistics
Question #503
Which mean is the largest for a set of positive numbers?
A. Geometric mean
B. Harmonic mean
C. All are equal
D. Arithmetic mean
Discuss
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Correct Answer: Option D

Explanation:
For positive numbers, AM ≥ GM ≥ HM.
This question belongs to: Accountancy and Statistics Statistics
Question #504
In a random experiment, the set of all possible outcomes is called:
A. Trial
B. Event
C. Outcome set
D. Sample space
Discuss
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Correct Answer: Option D

Explanation:
Sample space is the collection of all elementary outcomes of an experiment.
This question belongs to: Accountancy and Statistics Statistics
Question #505
An event that cannot happen is called:
A. Complementary event
B. Certain event
C. Impossible event
D. Mutually exclusive event
Discuss
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Correct Answer: Option C

Explanation:
An impossible event has probability 0.
This question belongs to: Accountancy and Statistics Statistics
Question #506
Two events are mutually exclusive if they:
A. Always occur together
B. Can occur together
C. Have equal probabilities
D. Cannot occur together
Discuss
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Correct Answer: Option D

Explanation:
Mutually exclusive events have no common outcome; P(A∩B) = 0.
This question belongs to: Accountancy and Statistics Statistics
Question #507
Conditional probability P(A|B) is defined only when:
A. A and B are mutually exclusive
B. P(A) > 0
C. A and B are independent
D. P(B) > 0
Discuss
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Correct Answer: Option D

Explanation:
The definition P(A|B) = P(A∩B)/P(B) requires P(B) > 0.
This question belongs to: Accountancy and Statistics Statistics
Question #508
Bayes' theorem is used to find:
A. Complementary probability
B. Posterior probability
C. Unconditional probability
D. Joint probability
Discuss
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Correct Answer: Option B

Explanation:
Bayes' theorem updates prior probabilities with new evidence to give posterior probabilities.
This question belongs to: Accountancy and Statistics Statistics
Question #509
If the occurrence of event A does not affect the probability of event B, then A and B are:
A. Dependent
B. Mutually exclusive
C. Independent
D. Equally likely
Discuss
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Correct Answer: Option C

Explanation:
Independence means P(B|A) = P(B).
This question belongs to: Accountancy and Statistics Statistics
Question #510
In the theory of attributes, (AB) denotes the number of objects possessing:
A. Only attribute B
B. Both attributes A and B
C. Neither A nor B
D. Only attribute A
Discuss
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Correct Answer: Option B

Explanation:
(AB) is the frequency of objects having both A and B.
This question belongs to: Accountancy and Statistics Statistics
Question #511
The symbol (α) in attributes represents:
A. Absence of attribute A
B. Possession of attribute A
C. Presence of all attributes
D. Presence of B
Discuss
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Correct Answer: Option A

Explanation:
α (alpha) is the negation of A, meaning not possessing A.
This question belongs to: Accountancy and Statistics Statistics
Question #512
If (AB) = 0, the attributes A and B are:
A. Complete positive association
B. Randomly associated
C. Independent
D. Complete disassociation
Discuss
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Correct Answer: Option D

Explanation:
(AB)=0 means no object possesses both A and B, indicating perfect negative association (complete disassociation).
This question belongs to: Accountancy and Statistics Statistics
Question #513
The condition (A) ≥ (AB) is necessary for:
A. Zero association
B. Negative association
C. Consistency of data
D. Independence
Discuss
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Correct Answer: Option C

Explanation:
Consistency requires that marginal frequencies are not less than the joint frequencies.
This question belongs to: Accountancy and Statistics Statistics
Question #514
Yule's coefficient of association (Q) ranges between:
A. 0 and 100
B. -∞ and +∞
C. -1 and +1
D. 0 and 1
Discuss
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Correct Answer: Option C

Explanation:
Q = (ad - bc) / (ad + bc) lies between -1 and +1.
This question belongs to: Accountancy and Statistics Statistics
Question #515
An index number measures:
A. Relative change over time or space
B. Average only
C. Absolute change
D. Total value
Discuss
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Correct Answer: Option A

Explanation:
Index numbers measure relative changes in a variable compared to a base period.
This question belongs to: Accountancy and Statistics Statistics
Question #516
Paasche price index uses quantities of:
A. Any chosen period
B. Average of base and current
C. Current period
D. Base period
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Correct Answer: Option C

Explanation:
Paasche index uses current period quantities as weights.
This question belongs to: Accountancy and Statistics Statistics
Question #517
Fisher's ideal index is the ______ of Laspeyres and Paasche indices.
A. Arithmetic mean
B. Geometric mean
C. Harmonic mean
D. Median
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Correct Answer: Option B

Explanation:
Fisher's index = √(Laspeyres × Paasche).
This question belongs to: Accountancy and Statistics Statistics
Question #518
Which index satisfies both time reversal and factor reversal tests?
A. Simple aggregative
B. Laspeyres
C. Paasche
D. Fisher
Discuss
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Correct Answer: Option D

Explanation:
Only Fisher's ideal index satisfies both tests.
This question belongs to: Accountancy and Statistics Statistics
Question #519
Time reversal test in index numbers implies that if the base and current periods are interchanged, the resulting index should be the ______ of the original.
A. Reciprocal
B. Square
C. Half
D. Double
Discuss
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Correct Answer: Option A

Explanation:
P₀₁ × P₁₀ = 1, i.e., they are reciprocals.
This question belongs to: Accountancy and Statistics Statistics
Question #520
Wholesale Price Index (WPI) in India is compiled by:
A. NSSO
B. CSO
C. Labour Bureau
D. Office of Economic Adviser, DPIIT
Discuss
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Correct Answer: Option D

Explanation:
The Office of Economic Adviser, Department for Promotion of Industry and Internal Trade compiles WPI.
This question belongs to: Accountancy and Statistics Statistics

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