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 4 of 66
Question #61
Which measure of central tendency is most suitable for qualitative ordinal data like intelligence rankings?
A. Mode
B. Median
C. Geometric mean
D. Mean
Discuss
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Correct Answer: Option B

Explanation:
Ordinal data can be ranked; the median is the appropriate measure as it does not require numerical differences.
This question belongs to: Accountancy and Statistics Statistics
Question #62
In a frequency distribution, the modal class is the class with:
A. Highest frequency
B. Largest class interval
C. Median value
D. Highest class mark
Discuss
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Correct Answer: Option A

Explanation:
The mode is the most frequent value; the modal class is the interval with the maximum frequency.
This question belongs to: Accountancy and Statistics Statistics
Question #63
If in a moderately skewed distribution mean = 30 and median = 28, the empirical mode is approximately:
A. 24
B. 32
C. 22
D. 26
Discuss
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Correct Answer: Option A

Explanation:
Using the empirical relation: Mode ≈ 3Median - 2Mean = 3×28 - 2×30 = 84 - 60 = 24.
This question belongs to: Accountancy and Statistics Statistics
Question #64
If a die is rolled, the sample space is:
A. {0,1,2,3,4,5,6}
B. {2,4,6}
C. {1,2,3,4,5,6}
D. {1,2,3,4,5}
Discuss
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Correct Answer: Option C

Explanation:
A fair die has six possible outcomes: 1,2,3,4,5,6.
This question belongs to: Accountancy and Statistics Statistics
Question #65
If P(A)=0.5, P(B)=0.4, and P(A∩B)=0.2, then P(A∪B) equals:
A. 0.2
B. 0.5
C. 0.9
D. 0.7
Discuss
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Correct Answer: Option D

Explanation:
By addition theorem: P(A∪B) = P(A) + P(B) - P(A∩B) = 0.5 + 0.4 - 0.2 = 0.7.
This question belongs to: Accountancy and Statistics Statistics
Question #66
Conditional probability P(A|B) is defined as:
A. P(A∩B) / P(A)
B. P(A∩B) / P(B)
C. P(B) / P(A)
D. P(A) / P(B)
Discuss
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Correct Answer: Option B

Explanation:
P(A|B) = P(A∩B) / P(B), provided P(B) > 0.
This question belongs to: Accountancy and Statistics Statistics
Question #67
A box contains 5 red and 3 green balls. Two balls are drawn without replacement. Probability that both are red is:
A. (5/8) + (4/7)
B. (5/8)²
C. (5/8) × (3/7)
D. (5/8) × (4/7) = 5/14
Discuss
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Correct Answer: Option D

Explanation:
First red: 5/8, second red given first red: 4/7. Product = 20/56 = 5/14.
This question belongs to: Accountancy and Statistics Statistics
Question #68
In a factory, machine A produces 60% of items (defective 2%) and machine B 40% (defective 5%). If an item is defective, the probability it came from B is:
A. 0.5
B. 0.625
C. 0.375
D. 0.8
Discuss
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Correct Answer: Option B

Explanation:
Bayes: P(B|D)= (0.05×0.4)/(0.02×0.6 + 0.05×0.4) = 0.02/0.032 = 0.625.
This question belongs to: Accountancy and Statistics Statistics
Question #69
Which of the following is a valid probability value?
A. 0.75
B. -0.2
C. 2
D. 1.5
Discuss
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Correct Answer: Option A

Explanation:
Probability must lie between 0 and 1 inclusive. 0.75 is valid.
This question belongs to: Accountancy and Statistics Statistics
Question #70
In the theory of attributes, the class frequency (AB) denotes:
A. Number of objects not possessing A and B
B. Number of objects possessing attribute A only
C. Number of objects possessing both A and B
D. Number of objects possessing attribute B only
Discuss
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Correct Answer: Option C

Explanation:
The notation (AB) represents the number of items possessing both attributes A and B.
This question belongs to: Accountancy and Statistics Statistics
Question #71
If A and B are two attributes, the symbol (α) denotes:
A. Number possessing both A and B
B. Number possessing attribute A
C. Number not possessing attribute A
D. Number possessing neither A nor B
Discuss
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Correct Answer: Option C

Explanation:
α (alpha) is the negation of A; (α) is the number of items that do not possess attribute A.
This question belongs to: Accountancy and Statistics Statistics
Question #72
For two attributes A and B, independence (no association) implies:
A. (AB) = (A)(B)/N²
B. (AB) = (A) + (B)
C. (AB)/N = (A)/N × (B)/N
D. (AB) = 0
Discuss
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Correct Answer: Option C

Explanation:
Independence means the proportion of items with both attributes equals the product of the individual proportions.
This question belongs to: Accountancy and Statistics Statistics
Question #73
Given N=100, (A)=40, (B)=30. The expected frequency of (AB) under independence is:
A. 20
B. 40
C. 12
D. 30
Discuss
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Correct Answer: Option C

Explanation:
Expected (AB) = (A)×(B)/N = 40×30/100 = 12.
This question belongs to: Accountancy and Statistics Statistics
Question #74
Which of the following is a necessary condition for consistency of data for two attributes?
A. (A) ≥ (AB)
B. All of these
C. (αβ) ≥ 0
D. (AB) ≥ 0
Discuss
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Correct Answer: Option B

Explanation:
All ultimate class frequencies must be non-negative, and marginal conditions like (A) ≥ (AB) must hold.
This question belongs to: Accountancy and Statistics Statistics
Question #75
Laspeyres price index uses weights of:
A. Fixed arbitrary weights
B. Average of base and current quantities
C. Current period quantities
D. Base period quantities
Discuss
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Correct Answer: Option D

Explanation:
Laspeyres index is Σ(p₁q₀)/Σ(p₀q₀) × 100, using base period quantities as weights.
This question belongs to: Accountancy and Statistics Statistics
Question #76
Paasche's price index formula is:
A. Σp₁q₁ / Σp₀q₁ × 100
B. Σp₁q₀ / Σp₀q₀ × 100
C. Σp₁q₁ / Σp₀q₀ × 100
D. Σp₁(q₀+q₁) / Σp₀(q₀+q₁) × 100
Discuss
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Correct Answer: Option A

Explanation:
Paasche index uses current period quantities: Σp₁q₁ / Σp₀q₁ × 100.
This question belongs to: Accountancy and Statistics Statistics
Question #77
Fisher's ideal index satisfies which tests?
A. Circular test
B. Time reversal test only
C. Factor reversal test only
D. Both time reversal and factor reversal tests
Discuss
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Correct Answer: Option D

Explanation:
Fisher's index is the geometric mean of Laspeyres and Paasche and satisfies both the time reversal and factor reversal tests.
This question belongs to: Accountancy and Statistics Statistics
Question #78
Which of the following indices does NOT satisfy the time reversal test?
A. Fisher index
B. Both Laspeyres and Paasche
C. Paasche index
D. Laspeyres index
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Correct Answer: Option B

Explanation:
Laspeyres and Paasche indices fail the time reversal test; Fisher's index satisfies it.
This question belongs to: Accountancy and Statistics Statistics
Question #79
Compute Fisher's ideal index from: Σp₀q₀=200, Σp₀q₁=250, Σp₁q₀=300, Σp₁q₁=360.
A. 145.5
B. 147.0
C. 146.97
D. 146.0
Discuss
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Correct Answer: Option C

Explanation:
Laspeyres = 300/200×100=150. Paasche = 360/250×100=144. Fisher = √(150×144) = √21600 ≈ 146.97.
This question belongs to: Accountancy and Statistics Statistics
Question #80
The Wholesale Price Index (WPI) in India is compiled by:
A. Office of Economic Adviser, DPIIT
B. NSSO
C. RBI
D. CSO
Discuss
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Correct Answer: Option A

Explanation:
The Office of the Economic Adviser in the Department for Promotion of Industry and Internal Trade (DPIIT) compiles WPI.
This question belongs to: Accountancy and Statistics Statistics

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