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

Question #61 Report Error

Which measure of central tendency is most suitable for qualitative ordinal data like intelligence rankings?

A. Geometric mean

B. Mean

C. Median

D. Mode

View Answer & Solution Discuss

Correct Answer: Option C

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 Report Error

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

View Answer & Solution Discuss

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 Report Error

If in a moderately skewed distribution mean = 30 and median = 28, the empirical mode is approximately:

A. 26

B. 32

C. 24

D. 22

View Answer & Solution Discuss

Correct Answer: Option C

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 Report Error

If a die is rolled, the sample space is:

A. {1,2,3,4,5}

B. {1,2,3,4,5,6}

C. {2,4,6}

D. {0,1,2,3,4,5,6}

View Answer & Solution Discuss

Correct Answer: Option B

Explanation:
A fair die has six possible outcomes: 1,2,3,4,5,6.

This question belongs to: Accountancy and Statistics Statistics

Question #65 Report Error

If P(A)=0.5, P(B)=0.4, and P(A∩B)=0.2, then P(A∪B) equals:

A. 0.5

B. 0.2

C. 0.7

D. 0.9

View Answer & Solution Discuss

Correct Answer: Option C

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 Report Error

Conditional probability P(A|B) is defined as:

A. P(B) / P(A)

B. P(A∩B) / P(A)

C. P(A) / P(B)

D. P(A∩B) / P(B)

View Answer & Solution Discuss

Correct Answer: Option D

Explanation:
P(A|B) = P(A∩B) / P(B), provided P(B) > 0.

This question belongs to: Accountancy and Statistics Statistics

Question #67 Report Error

A box contains 5 red and 3 green balls. Two balls are drawn without replacement. Probability that both are red is:

A. (5/8)²

B. (5/8) × (3/7)

C. (5/8) + (4/7)

D. (5/8) × (4/7) = 5/14

View Answer & Solution Discuss

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 Report Error

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. 0.8

C. 0.375

D. 0.625

View Answer & Solution Discuss

Correct Answer: Option D

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 Report Error

Which of the following is a valid probability value?

A. 2

B. 1.5

C. 0.75

D. -0.2

View Answer & Solution Discuss

Correct Answer: Option C

Explanation:
Probability must lie between 0 and 1 inclusive. 0.75 is valid.

This question belongs to: Accountancy and Statistics Statistics

Question #70 Report Error

In the theory of attributes, the class frequency (AB) denotes:

A. Number of objects possessing attribute A only

B. Number of objects possessing both A and B

C. Number of objects possessing attribute B only

D. Number of objects not possessing A and B

View Answer & Solution Discuss

Correct Answer: Option B

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 Report Error

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

View Answer & Solution Discuss

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 Report Error

For two attributes A and B, independence (no association) implies:

A. (AB) = (A)(B)/N²

B. (AB)/N = (A)/N × (B)/N

C. (AB) = (A) + (B)

D. (AB) = 0

View Answer & Solution Discuss

Correct Answer: Option B

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 Report Error

Given N=100, (A)=40, (B)=30. The expected frequency of (AB) under independence is:

A. 20

B. 12

C. 30

D. 40

View Answer & Solution Discuss

Correct Answer: Option B

Explanation:
Expected (AB) = (A)×(B)/N = 40×30/100 = 12.

This question belongs to: Accountancy and Statistics Statistics

Question #74 Report Error

Which of the following is a necessary condition for consistency of data for two attributes?

A. (A) ≥ (AB)

B. (AB) ≥ 0

C. All of these

D. (αβ) ≥ 0

View Answer & Solution Discuss

Correct Answer: Option C

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 Report Error

Laspeyres price index uses weights of:

A. Fixed arbitrary weights

B. Average of base and current quantities

C. Base period quantities

D. Current period quantities

View Answer & Solution Discuss

Correct Answer: Option C

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 Report Error

Paasche's price index formula is:

A. Σp₁(q₀+q₁) / Σp₀(q₀+q₁) × 100

B. Σp₁q₀ / Σp₀q₀ × 100

C. Σp₁q₁ / Σp₀q₁ × 100

D. Σp₁q₁ / Σp₀q₀ × 100

View Answer & Solution Discuss

Correct Answer: Option C

Explanation:
Paasche index uses current period quantities: Σp₁q₁ / Σp₀q₁ × 100.

This question belongs to: Accountancy and Statistics Statistics

Question #77 Report Error

Fisher's ideal index satisfies which tests?

A. Factor reversal test only

B. Both time reversal and factor reversal tests

C. Circular test

D. Time reversal test only

View Answer & Solution Discuss

Correct Answer: Option B

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 Report Error

Which of the following indices does NOT satisfy the time reversal test?

A. Fisher index

B. Laspeyres index

C. Both Laspeyres and Paasche

D. Paasche index

View Answer & Solution Discuss

Correct Answer: Option C

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 Report Error

Compute Fisher's ideal index from: Σp₀q₀=200, Σp₀q₁=250, Σp₁q₀=300, Σp₁q₁=360.

A. 145.5

B. 146.0

C. 146.97

D. 147.0

View Answer & Solution Discuss

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 Report Error

The Wholesale Price Index (WPI) in India is compiled by:

A. RBI

B. CSO

C. NSSO

D. Office of Economic Adviser, DPIIT

View Answer & Solution Discuss

Correct Answer: Option D

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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