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 29 of 66
Question #561
If P(A) = 0.2 and P(B) = 0.3, and A, B are mutually exclusive, P(A∪B) is:
A. 0.5
B. 0.1
C. 0.8
D. 0.06
Discuss
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Correct Answer: Option A

Explanation:
For mutually exclusive events, P(A∪B) = P(A) + P(B) = 0.5.
This question belongs to: Accountancy and Statistics Statistics
Question #562
If A and B are independent events with P(A)=0.5, P(B)=0.4, P(A∪B) is:
A. 0.5
B. 0.7
C. 0.9
D. 0.2
Discuss
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Correct Answer: Option B

Explanation:
P(A∪B) = 0.5 + 0.4 - (0.5×0.4) = 0.9 - 0.2 = 0.7.
This question belongs to: Accountancy and Statistics Statistics
Question #563
The probability that a leap year has 53 Sundays is:
A. 1/7
B. 2/7
C. 3/7
D. 5/7
Discuss
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Correct Answer: Option B

Explanation:
A leap year has 366 days = 52 weeks + 2 days. Favorable pairs: (Sun,Mon) and (Sat,Sun) out of 7, giving 2/7.
This question belongs to: Accountancy and Statistics Statistics
Question #564
In a class, 60% students pass in English and 70% in Mathematics. 20% fail in both. The percentage that pass in at least one subject is:
A. 50%
B. 60%
C. 90%
D. 80%
Discuss
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Correct Answer: Option D

Explanation:
Pass in at least one = 100% - fail in both = 100% - 20% = 80%.
This question belongs to: Accountancy and Statistics Statistics
Question #565
For two attributes A and B, the condition for independence is:
A. (AB) = (A)(B)
B. (αβ) = 0
C. (A) = (B)
D. (AB)/N = (A)/N × (B)/N
Discuss
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Correct Answer: Option D

Explanation:
Independence means the proportion of both attributes equals the product of individual proportions.
This question belongs to: Accountancy and Statistics Statistics
Question #566
In attribute theory, the class frequency (Aβ) indicates objects possessing:
A. Both A and B
B. A but not B
C. B but not A
D. Neither A nor B
Discuss
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Correct Answer: Option B

Explanation:
β denotes absence of B, so (Aβ) = possessing A and not B.
This question belongs to: Accountancy and Statistics Statistics
Question #567
If (A)=60, (B)=50, N=100, the maximum possible value of (AB) is:
A. 50
B. 10
C. 100
D. 60
Discuss
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Correct Answer: Option A

Explanation:
(AB) cannot exceed the smaller of (A) and (B), hence 50.
This question belongs to: Accountancy and Statistics Statistics
Question #568
Laspeyres index tends to ______ the price increase.
A. Overstate
B. Understate
C. Ignore
D. Perfectly measure
Discuss
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Correct Answer: Option A

Explanation:
Because it uses fixed base period quantities, Laspeyres index does not account for substitution away from goods that have become relatively expensive.
This question belongs to: Accountancy and Statistics Statistics
Question #569
The formula for simple aggregative price index is:
A. (Σp₀ / Σp₁) × 100
B. (Σp₁ / Σp₀) × 100
C. (Σp₁q₀ / Σp₀q₀) × 100
D. (Σp₁q₁ / Σp₀q₁) × 100
Discuss
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Correct Answer: Option B

Explanation:
Simple aggregative index sums current prices and divides by sum of base prices, multiplied by 100.
This question belongs to: Accountancy and Statistics Statistics
Question #570
The Consumer Price Index for Industrial Workers (CPI-IW) is published by:
A. Labour Bureau, Shimla
B. NITI Aayog
C. Central Statistics Office
D. Reserve Bank of India
Discuss
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Correct Answer: Option A

Explanation:
The Labour Bureau compiles CPI-IW.
This question belongs to: Accountancy and Statistics Statistics
Question #571
WPI basket does not include:
A. Primary articles
B. Manufactured products
C. Fuel and power
D. Services
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Correct Answer: Option D

Explanation:
WPI covers goods only; services are excluded.
This question belongs to: Accountancy and Statistics Statistics
Question #572
If the current WPI is 140 and base year WPI is 100, the inflation rate is:
A. 100%
B. 40%
C. 140%
D. 28.6%
Discuss
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Correct Answer: Option B

Explanation:
Inflation rate = (140 - 100)/100 × 100% = 40%.
This question belongs to: Accountancy and Statistics Statistics
Question #573
The circular test is used to check:
A. Unit independence
B. Consistency of index numbers when shifting base over multiple periods
C. Whether the index satisfies time reversal
D. Factor reversal property
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Correct Answer: Option B

Explanation:
Circular test examines if the product of index numbers for consecutive periods equals the direct index for the whole period.
This question belongs to: Accountancy and Statistics Statistics
Question #574
Demographic dividend refers to:
A. Increase in birth rate
B. Migration outflow
C. Increase in working-age population share
D. Rise in death rate
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Correct Answer: Option C

Explanation:
Demographic dividend is the economic growth potential due to a larger share of working-age population.
This question belongs to: Accountancy and Statistics Statistics
Question #575
The sex ratio in India (Census 2011) is defined as:
A. Number of males per 1000 females
B. Number of females per 1000 males
C. Number of males per 1000 population
D. Number of females per 1000 population
Discuss
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Correct Answer: Option B

Explanation:
Sex ratio is females per 1000 males; in 2011 it was 943.
This question belongs to: Accountancy and Statistics Statistics
Question #576
The literacy rate in India as per 2011 Census is:
A. 82.14%
B. 65.38%
C. 74.04%
D. 90.0%
Discuss
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Correct Answer: Option C

Explanation:
The overall literacy rate was 74.04%.
This question belongs to: Accountancy and Statistics Statistics
Question #577
Age-specific death rates are used to compute:
A. Maternal mortality ratio
B. Crude death rate
C. Standardized death rate
D. Infant mortality rate
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Correct Answer: Option C

Explanation:
Standardized death rate applies age-specific rates to a standard population to compare mortality.
This question belongs to: Accountancy and Statistics Statistics
Question #578
Post-neonatal mortality refers to deaths from:
A. 28 days to 1 year
B. 1-5 years
C. 0-28 days
D. 0-7 days
Discuss
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Correct Answer: Option A

Explanation:
Post-neonatal period is from 28 days to 1 year.
This question belongs to: Accountancy and Statistics Statistics
Question #579
The main source of population data in India is:
A. Annual Survey of Industries
B. Census
C. Economic Survey
D. National Sample Survey
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Correct Answer: Option B

Explanation:
The decennial census provides comprehensive population data.
This question belongs to: Accountancy and Statistics Statistics
Question #580
A questionnaire that allows the respondent to write answers in his own words contains:
A. Multiple choice questions
B. Ranking questions
C. Open-ended questions
D. Closed-ended questions
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Correct Answer: Option C

Explanation:
Open-ended questions allow free expression without predefined options.
This question belongs to: Accountancy and Statistics Statistics

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