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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Practice Questions

Page 45 of 66
Question #881
Assertion (A): For two attributes A and B, if (AB) > (A)(B)/N, they are positively associated. Reason (R): Positive association means they occur together more often than expected under independence. Choose the correct option:
A. A is true, R is false
B. Both A and R are true, but R is not the correct explanation of A
C. Both A and R are true, and R is the correct explanation of A
D. A is false, R is true
Discuss
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Correct Answer: Option C

Explanation:
If observed joint frequency exceeds the expected under independence, it indicates positive association. R explains A perfectly.
This question belongs to: Accountancy and Statistics Statistics
Question #882
Given (AB)=30, (Aβ)=10, (αB)=10, (αβ)=10. The value of Yule's Q is:
A. 0.33
B. 0.8
C. 0.2
D. 0.5
Discuss
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Correct Answer: Option D

Explanation:
ad=30×10=300, bc=10×10=100. Q=(300-100)/(300+100)=200/400=0.5.
This question belongs to: Accountancy and Statistics Statistics
Question #883
Which of the following statements about Laspeyres and Paasche indices is correct?
A. Paasche index satisfies the time reversal test.
B. Fisher's index is the geometric mean of Laspeyres and Paasche.
C. Laspeyres index tends to understate price increase, Paasche overstates.
D. Laspeyres uses current period quantities, Paasche uses base period quantities.
Discuss
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Correct Answer: Option B

Explanation:
Fisher = √(L×P). L uses base quantities, P uses current quantities. L overstates, P understates. Neither L nor P satisfies time reversal.
This question belongs to: Accountancy and Statistics Statistics
Question #884
Assertion (A): Fisher's ideal index satisfies both time reversal and factor reversal tests. Reason (R): Fisher's index is the geometric mean of Laspeyres and Paasche indices. Choose the correct option:
A. A is false, R is true
B. Both A and R are true, but R is not the correct explanation of A
C. Both A and R are true, and R is the correct explanation of A
D. A is true, R is false
Discuss
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Correct Answer: Option C

Explanation:
Fisher's index indeed satisfies both tests, and the formula (geometric mean) is the reason it meets these tests.
This question belongs to: Accountancy and Statistics Statistics
Question #885
Which of the following is NOT a feature of the Wholesale Price Index (WPI) in India?
A. It includes services like transport and healthcare.
B. The current base year is 2011-12.
C. It is compiled by the Office of Economic Adviser.
D. It covers only goods.
Discuss
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Correct Answer: Option A

Explanation:
WPI excludes services; it covers only goods.
This question belongs to: Accountancy and Statistics Statistics
Question #886
The Consumer Price Index (CPI) is used to measure:
A. Inflation at wholesale level.
B. Industrial production.
C. Foreign exchange reserves.
D. Change in cost of living for households.
Discuss
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Correct Answer: Option D

Explanation:
CPI measures retail price changes affecting households' cost of living.
This question belongs to: Accountancy and Statistics Statistics
Question #887
Consider the following: 1. CPI-IW is compiled by Labour Bureau. 2. CPI-Rural, Urban, Combined base year is 2012. 3. CPI basket includes both goods and services. Which of the above is/are correct?
A. 1, 2 and 3
B. 1 and 2 only
C. 2 and 3 only
D. 1 and 3 only
Discuss
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Correct Answer: Option A

Explanation:
All three statements are factually correct.
This question belongs to: Accountancy and Statistics Statistics
Question #888
The factor reversal test requires that the product of a price index and a quantity index should equal:
A. 1
B. The Fisher index
C. 100
D. The value ratio (Σp₁q₁/Σp₀q₀)
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Correct Answer: Option D

Explanation:
It ensures that the product of price and quantity indices equals the change in total value.
This question belongs to: Accountancy and Statistics Statistics
Question #889
Which index number formula satisfies the circular test?
A. Simple geometric mean of price relatives with fixed base
B. Laspeyres index
C. Paasche index
D. Fisher index
Discuss
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Correct Answer: Option A

Explanation:
Fixed base simple geometric mean of relatives satisfies circular test; L, P, F do not.
This question belongs to: Accountancy and Statistics Statistics
Question #890
If Laspeyres price index = 130, Paasche price index = 120, the Fisher index is approximately:
A. 124.9
B. 124.5
C. 125.0
D. 125.5
Discuss
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Correct Answer: Option A

Explanation:
√(130×120) = √15600 ≈ 124.8999.
This question belongs to: Accountancy and Statistics Statistics
Question #891
Which of the following statements about demography is true?
A. Census is a demographic tool for complete enumeration.
B. Vital statistics do not include marriages.
C. Demography studies only population size.
D. Migration does not affect population change.
Discuss
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Correct Answer: Option A

Explanation:
Census is a complete count of a population. Demography also studies composition, distribution; vital statistics includes marriages; migration affects population change.
This question belongs to: Accountancy and Statistics Statistics
Question #892
Assertion (A): The population of India is increasing but the decadal growth rate has declined between 2001-2011 compared to 1991-2001. Reason (R): The total fertility rate in India has been declining. Choose the correct option:
A. Both A and R are true, but R is not the correct explanation of A
B. A is false, R is true
C. A is true, R is false
D. Both A and R are true, and R is the correct explanation of A
Discuss
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Correct Answer: Option D

Explanation:
The decadal growth rate declined from 21.54% to 17.64%, and this is largely due to falling fertility. R explains A.
This question belongs to: Accountancy and Statistics Statistics
Question #893
According to Census 2011, which state has the highest population density among major states?
A. West Bengal
B. Uttar Pradesh
C. Bihar
D. Kerala
Discuss
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Correct Answer: Option C

Explanation:
Bihar had 1106 persons/sq km, highest among major states.
This question belongs to: Accountancy and Statistics Statistics
Question #894
Consider the statements: 1. CBR is independent of age structure. 2. GFR is more refined than CBR. 3. TFR is a synthetic period measure. Which is/are correct?
A. 1, 2 and 3
B. 2 and 3 only
C. 1 and 3 only
D. 1 and 2 only
Discuss
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Correct Answer: Option B

Explanation:
CBR is affected by age structure; GFR restricts to women 15-49; TFR is synthetic. So 1 is false.
This question belongs to: Accountancy and Statistics Statistics
Question #895
Assertion (A): Gross Reproduction Rate (GRR) is always less than or equal to Total Fertility Rate (TFR). Reason (R): GRR considers only female births. Choose the correct option:
A. A is false, R is true
B. A is true, R is false
C. Both A and R are true, but R is not the correct explanation of A
D. Both A and R are true, and R is the correct explanation of A
Discuss
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Correct Answer: Option D

Explanation:
GRR = TFR × (female proportion), so GRR ≤ TFR. R explains why.
This question belongs to: Accountancy and Statistics Statistics
Question #896
If Net Reproduction Rate (NRR) = 1.2, it means:
A. The population will immediately decline.
B. Each generation is replacing itself and increasing by 20%.
C. The population has reached replacement level.
D. The infant mortality rate is zero.
Discuss
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Correct Answer: Option B

Explanation:
NRR > 1 indicates the next generation is larger by 20%, leading to population growth.
This question belongs to: Accountancy and Statistics Statistics
Question #897
Which of the following mortality rates is a better indicator of health infrastructure for newborns?
A. Neonatal mortality rate
B. Life expectancy at age 60
C. Crude death rate
D. Maternal mortality ratio
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Correct Answer: Option A

Explanation:
NMR reflects care during the first 28 days, closely linked to perinatal care and health infrastructure.
This question belongs to: Accountancy and Statistics Statistics
Question #898
Standardized death rate removes the effect of:
A. Sex ratio differences
B. Income differences
C. Age composition differences
D. Urban-rural differences
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Correct Answer: Option C

Explanation:
Age standardization adjusts for differing age structures between populations.
This question belongs to: Accountancy and Statistics Statistics
Question #899
Life expectancy at birth is calculated from:
A. Census data only
B. Total fertility rate
C. Age-specific death rates through a life table
D. Crude birth rate
Discuss
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Correct Answer: Option C

Explanation:
Life tables use age-specific mortality rates to compute life expectancy.
This question belongs to: Accountancy and Statistics Statistics
Question #900
Which of the following is a cause of decline in India's infant mortality rate?
A. Improved immunization and healthcare facilities
B. Higher fertility
C. Decrease in female literacy
D. Increase in poverty
Discuss
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Correct Answer: Option A

Explanation:
Better health services, immunization, and sanitation reduce infant deaths.
This question belongs to: Accountancy and Statistics Statistics

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