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 23 of 66
Question #441
The formula for a simple aggregative price index is:
A. (Σp₁q₀ / Σp₀q₀) × 100
B. (Σp₁ / Σp₀) × 100
C. √(L×P) × 100
D. (Σp₁q₁ / Σp₀q₁) × 100
Discuss
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Correct Answer: Option B

Explanation:
Simple aggregative index sums prices without weights.
This question belongs to: Accountancy and Statistics Statistics
Question #442
A decrease in the crude death rate with an unchanged crude birth rate will cause the rate of natural increase to:
A. Become zero
B. Decrease
C. Increase
D. Remain unchanged
Discuss
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Correct Answer: Option C

Explanation:
Natural increase = CBR - CDR. If CDR falls, the difference increases.
This question belongs to: Accountancy and Statistics Statistics
Question #443
The General Fertility Rate is affected by:
A. Total population size
B. Both A and B
C. Age structure of women of reproductive age
D. Marital status distribution
Discuss
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Correct Answer: Option B

Explanation:
GFR does not account for age-marital composition; thus it is influenced by the proportion of married women and age distribution within 15-49.
This question belongs to: Accountancy and Statistics Statistics
Question #444
The Total Fertility Rate (TFR) of a population is computed as 3.2 children per woman. If the proportion of female births is 0.48, the GRR is:
A. 1.536
B. 3.2
C. 1.5
D. 6.67
Discuss
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Correct Answer: Option A

Explanation:
GRR = TFR × female proportion = 3.2 × 0.48 = 1.536.
This question belongs to: Accountancy and Statistics Statistics
Question #445
The Net Reproduction Rate (NRR) of a population is 0.9. This indicates that:
A. Mortality is zero
B. Population will eventually decline
C. Population is replacing itself
D. Population growth is high
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Correct Answer: Option B

Explanation:
NRR < 1 means each generation is not fully replacing itself, leading to long-term decline.
This question belongs to: Accountancy and Statistics Statistics
Question #446
The infant mortality rate in India (SRS 2020) is around:
A. 28 per 1000 live births
B. 50 per 1000
C. 33 per 1000
D. 40 per 1000
Discuss
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Correct Answer: Option A

Explanation:
As per SRS 2020, India's IMR was 28 per 1000 live births.
This question belongs to: Accountancy and Statistics Statistics
Question #447
The maternal mortality ratio in India declined from 130 (2014-16) to 113 (2016-18) per 100,000 live births. This represents a decline of about:
A. 25%
B. 20%
C. 13%
D. 17%
Discuss
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Correct Answer: Option C

Explanation:
Decline = (130-113)/130 × 100 ≈ 13.08%.
This question belongs to: Accountancy and Statistics Statistics
Question #448
Standardized death rate by direct method is computed as:
A. Simple average of age-specific rates
B. Σ (m_x × P_sx) / Σ P_sx, where m_x are age-specific death rates of study population and P_sx are standard population age distribution
C. Crude death rate of standard population
D. Σ (M_x × p_x) where M_x are standard rates
Discuss
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Correct Answer: Option B

Explanation:
Direct standardization applies observed rates to a standard population structure.
This question belongs to: Accountancy and Statistics Statistics
Question #449
Life expectancy at birth in India (2014-18) is approximately:
A. 65 years
B. 60 years
C. 69 years
D. 72 years
Discuss
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Correct Answer: Option C

Explanation:
As per SRS 2014-18, life expectancy at birth was 69 years (male 68.2, female 70.7).
This question belongs to: Accountancy and Statistics Statistics
Question #450
Which of the following is NOT a demographic process?
A. Mortality
B. Migration
C. Fertility
D. Industrialization
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Correct Answer: Option D

Explanation:
Demographic processes directly change population size and composition; industrialization is an economic process.
This question belongs to: Accountancy and Statistics Statistics
Question #451
The population of a country in 2020 was 100 million with a growth rate of 2% per year. Assuming exponential growth, the population in 2022 is approximately:
A. 104.04 million
B. 104 million
C. 108 million
D. 102 million
Discuss
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Correct Answer: Option A

Explanation:
Using compound formula: 100 × (1.02)^2 = 104.04 million.
This question belongs to: Accountancy and Statistics Statistics
Question #452
Which state in India had the highest infant mortality rate as per recent SRS?
A. Madhya Pradesh
B. Assam
C. Bihar
D. Uttar Pradesh
Discuss
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Correct Answer: Option A

Explanation:
Madhya Pradesh has consistently recorded the highest IMR among Indian states.
This question belongs to: Accountancy and Statistics Statistics
Question #453
In a frequency distribution with classes 0-9, 10-19, 20-29,... the class boundaries for 20-29 are:
A. 19.5 - 29.5
B. 19.5 - 28.5
C. 20 - 29
D. 20.5 - 29.5
Discuss
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Correct Answer: Option A

Explanation:
Given inclusive intervals with gap of 1, subtract 0.5 from lower and add 0.5 to upper.
This question belongs to: Accountancy and Statistics Statistics
Question #454
A researcher is interested in the effect of a new drug. She selects 50 patients randomly from a hospital list. The list is the:
A. Sample
B. Sample unit
C. Sampling frame
D. Population
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Correct Answer: Option C

Explanation:
The hospital list is the sampling frame from which the sample is drawn.
This question belongs to: Accountancy and Statistics Statistics
Question #455
Which of the following is an example of a 'schedule'?
A. An enumerator records the answers of a household in a paper form
B. A ballot paper
C. A questionnaire filled by the respondent online
D. A postal survey
Discuss
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Correct Answer: Option A

Explanation:
A schedule is filled by the interviewer based on the respondent's answers.
This question belongs to: Accountancy and Statistics Statistics
Question #456
In a pie chart, the angle of a sector for a category with frequency 30 out of total 120 is:
A. 90°
B. 120°
C. 60°
D. 30°
Discuss
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Correct Answer: Option A

Explanation:
Angle = (30/120) × 360 = 90°.
This question belongs to: Accountancy and Statistics Statistics
Question #457
If a constant 5 is subtracted from all observations, the arithmetic mean:
A. Remains same
B. Increases by 5
C. Becomes 5 times
D. Decreases by 5
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Correct Answer: Option D

Explanation:
Mean is affected by change of origin; subtracting 5 reduces mean by 5.
This question belongs to: Accountancy and Statistics Statistics
Question #458
Which average is most appropriate for averaging ratios and rates when the denominators are variable?
A. Median
B. Arithmetic mean
C. Harmonic mean
D. Weighted arithmetic mean
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Correct Answer: Option D

Explanation:
When denominators vary, a weighted mean using denominators as weights is appropriate.
This question belongs to: Accountancy and Statistics Statistics
Question #459
The combined mean of three groups with means 20, 30, 40 and sizes 10, 15, 25 is:
A. 32
B. 35
C. 30
D. 33
Discuss
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Correct Answer: Option D

Explanation:
Sum = 200+450+1000=1650, N=50, Mean=33.
This question belongs to: Accountancy and Statistics Statistics
Question #460
If the median of 5, 7, 9, x, 11, 13 is 9.5, then x is:
A. 12
B. 9
C. 8
D. 10
Discuss
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Correct Answer: Option D

Explanation:
The six values in order: 5,7,9,x,11,13. Median = (9+x)/2 = 9.5 ⇒ x=10.
This question belongs to: Accountancy and Statistics Statistics

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