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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Total Questions

Practice Questions

Page 24 of 66
Question #461
The mode of the data: 2, 4, 4, 6, 6, 6, 8, 8 is:
A. 6
B. No mode
C. 8
D. 4
Discuss
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Correct Answer: Option A

Explanation:
6 appears three times, more than any other value.
This question belongs to: Accountancy and Statistics Statistics
Question #462
Assertion (A): Harmonic mean is greater than geometric mean for positive numbers. Reason (R): For positive numbers, AM ≥ GM ≥ HM.
A. Both A and R true, and R is correct explanation
B. A is false, R is true
C. Both A and R true, but R is not correct explanation
D. A is true, R is false
Discuss
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Correct Answer: Option B

Explanation:
The correct inequality is AM ≥ GM ≥ HM, so HM ≤ GM, thus HM is not greater. So assertion false, reason true.
This question belongs to: Accountancy and Statistics Statistics
Question #463
A sample space has 6 equally likely outcomes. The probability of an event with 2 outcomes is:
A. 1/3
B. 2/3
C. 1/6
D. 1/2
Discuss
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Correct Answer: Option A

Explanation:
P = 2/6 = 1/3.
This question belongs to: Accountancy and Statistics Statistics
Question #464
In a binomial distribution with n=5 and p=0.4, the probability of exactly 2 successes is:
A. 0.2304
B. 0.4
C. 0.3456
D. 0.5
Discuss
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Correct Answer: Option C

Explanation:
C(5,2)(0.4)^2(0.6)^3 = 10 × 0.16 × 0.216 = 0.3456.
This question belongs to: Accountancy and Statistics Statistics
Question #465
For a dataset of 10 numbers, Σx = 500 and Σx² = 26000. The coefficient of variation (%) is:
A. 10
B. 20
C. 25
D. 15
Discuss
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Correct Answer: Option B

Explanation:
Mean=50. Variance = (26000/10) - 50² = 2600-2500=100. SD=10. CV = (10/50)×100 = 20%.
This question belongs to: Accountancy and Statistics Statistics
Question #466
If the events A and B are independent, P(A)=0.4, P(B)=0.5, then P(A'∩B') is:
A. 0.3
B. 0.5
C. 0.2
D. 0.9
Discuss
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Correct Answer: Option A

Explanation:
P(A')=0.6, P(B')=0.5, independence gives 0.6×0.5=0.3.
This question belongs to: Accountancy and Statistics Statistics
Question #467
Three machines produce 60%, 30%, 10% of items with defect rates 2%, 3%, 4%. If an item is defective, probability it came from the third machine is:
A. 0.25
B. 0.04
C. 0.16
D. 0.10
Discuss
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Correct Answer: Option C

Explanation:
P(D) = 0.6×0.02 + 0.3×0.03 + 0.1×0.04 = 0.012+0.009+0.004=0.025. P(M3|D) = 0.004/0.025 = 0.16.
This question belongs to: Accountancy and Statistics Statistics
Question #468
The Paasche quantity index formula is:
A. Σp₀q₁ / Σp₀q₀ × 100
B. Σp₁q₁ / Σp₁q₀ × 100
C. Σp₁q₁ / Σp₀q₁ × 100
D. Σp₀q₁ / Σp₁q₁ × 100
Discuss
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Correct Answer: Option B

Explanation:
Paasche quantity index uses current period prices as weights.
This question belongs to: Accountancy and Statistics Statistics
Question #469
If the cost of living index number is 250, it means that compared to base year, the cost of living has:
A. Increased by 150%
B. Become 2.5 times
C. Decreased by 150%
D. Increased by 250%
Discuss
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Correct Answer: Option A

Explanation:
Index 250 indicates a 150% increase (250-100).
This question belongs to: Accountancy and Statistics Statistics
Question #470
The 'weight' in a weighted index number should ideally represent:
A. Base year price
B. Relative importance of the item
C. Price of the item
D. Unit of measurement
Discuss
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Correct Answer: Option B

Explanation:
Weights reflect the relative significance of commodities in the basket.
This question belongs to: Accountancy and Statistics Statistics
Question #471
According to the Indian census, a person aged 7 years and above who can read and write with understanding in any language is considered:
A. Literate
B. Semi-literate
C. Illiterate
D. Educated
Discuss
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Correct Answer: Option A

Explanation:
Census definition of literacy is ability to read and write with understanding in any language for persons aged 7+.
This question belongs to: Accountancy and Statistics Statistics
Question #472
The dependency ratio in India has been declining primarily due to:
A. Increasing old age population
B. Declining fertility
C. Increasing mortality
D. Emigration
Discuss
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Correct Answer: Option B

Explanation:
Falling birth rates reduce the proportion of children (0-14), lowering the dependency ratio, at least in the short-medium term.
This question belongs to: Accountancy and Statistics Statistics
Question #473
Infant mortality rate and life expectancy at birth are generally:
A. Positively correlated
B. Negatively correlated
C. Equal
D. Uncorrelated
Discuss
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Correct Answer: Option B

Explanation:
Higher IMR is associated with lower life expectancy.
This question belongs to: Accountancy and Statistics Statistics
Question #474
A woman aged 28 gives birth to a child. Under ASFR calculation, this birth contributes to the age group:
A. 30-34
B. 28-32
C. 20-24
D. 25-29
Discuss
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Correct Answer: Option D

Explanation:
Standard 5-year age groups: 25-29 includes ages 25 to 29.
This question belongs to: Accountancy and Statistics Statistics
Question #475
Which of the following is primary data?
A. Data taken from a published report
B. Data from a newspaper
C. Data collected by an investigator through direct interview
D. Data downloaded from a government website
Discuss
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Correct Answer: Option C

Explanation:
Primary data is originally collected firsthand for the specific research purpose. Direct interview is a primary method.
This question belongs to: Accountancy and Statistics Statistics
Question #476
Which method is suitable when the informants are not literate?
A. Direct personal interview
B. Mailed questionnaire
C. Online survey
D. Telephonic interview
Discuss
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Correct Answer: Option A

Explanation:
Direct personal interview enables the enumerator to explain questions and record answers accurately, especially for illiterate respondents.
This question belongs to: Accountancy and Statistics Statistics
Question #477
What is secondary data?
A. Data collected through observation
B. Data collected by the user for the first time
C. Data that already exists and is used by someone else
D. Data collected through experiments
Discuss
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Correct Answer: Option C

Explanation:
Secondary data is data that has already been collected by someone else and is available for use.
This question belongs to: Accountancy and Statistics Statistics
Question #478
Which of the following is a method of collecting primary data?
A. Using published journals
B. Referring to old records of a company
C. Extracting data from internet
D. Schedules sent through enumerators
Discuss
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Correct Answer: Option D

Explanation:
Schedules filled by enumerators is a primary data collection method; the others are secondary sources.
This question belongs to: Accountancy and Statistics Statistics
Question #479
Which is a difference between primary and secondary data?
A. Primary data requires less time
B. Primary data is collected for the specific purpose at hand
C. Secondary data is more reliable always
D. Primary data is cheaper than secondary data
Discuss
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Correct Answer: Option B

Explanation:
Primary data is gathered specifically for the study, while secondary data was collected for some other purpose.
This question belongs to: Accountancy and Statistics Statistics
Question #480
Which of the following is a merit of secondary data?
A. Specific to research objectives
B. High accuracy
C. Originality
D. Saves time and cost
Discuss
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Correct Answer: Option D

Explanation:
Secondary data is already available, saving the time and expense of collection.
This question belongs to: Accountancy and Statistics Statistics

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