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.

1318
Total Questions

Practice Questions

Page 6 of 66
Question #101
Gross Reproduction Rate (GRR) is calculated as TFR multiplied by:
A. Life expectancy at birth
B. Inverse of sex ratio
C. Proportion of male births
D. Proportion of female births
Discuss
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Correct Answer: Option D

Explanation:
GRR = TFR × (female births / total births), representing the average number of daughters a woman would have.
This question belongs to: Accountancy and Statistics Statistics
Question #102
Net Reproduction Rate (NRR) takes into account:
A. Only mortality
B. Only fertility
C. Fertility and mortality
D. Migration
Discuss
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Correct Answer: Option C

Explanation:
NRR adjusts GRR for the mortality of women during reproductive ages; it indicates replacement level.
This question belongs to: Accountancy and Statistics Statistics
Question #103
If NRR = 1, it indicates:
A. Population is declining
B. Population is exactly replacing itself
C. High population growth
D. Zero fertility
Discuss
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Correct Answer: Option B

Explanation:
NRR = 1 means each woman is replaced by exactly one daughter who survives to reproductive age, implying exact replacement.
This question belongs to: Accountancy and Statistics Statistics
Question #104
Given the following ASFR (per 1000 women) for 5-year age groups: 15-19:20, 20-24:150, 25-29:120, 30-34:80, 35-39:30, 40-44:10, 45-49:5. The TFR (children per woman) is approximately:
A. 415
B. 2.075
C. 2.08
D. 1.5
Discuss
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Correct Answer: Option B

Explanation:
Sum of ASFRs = 415 per 1000. TFR = 5 × 415/1000 = 2075/1000 = 2.075 children per woman.
This question belongs to: Accountancy and Statistics Statistics
Question #105
Infant Mortality Rate (IMR) is the number of deaths of infants under one year per:
A. 1000 children
B. 1000 live births
C. 1000 population
D. 1000 women
Discuss
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Correct Answer: Option B

Explanation:
IMR = (Infant deaths < 1 year / Live births) × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #106
Maternal Mortality Ratio (MMR) is expressed per:
A. 1000 women
B. 100,000 live births
C. 10,000 live births
D. 1000 live births
Discuss
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Correct Answer: Option B

Explanation:
MMR is the number of maternal deaths per 100,000 live births.
This question belongs to: Accountancy and Statistics Statistics
Question #107
Neonatal mortality rate covers deaths of infants aged:
A. 0-7 days
B. 0-1 year
C. 1 month to 1 year
D. 0-28 days per 1000 live births
Discuss
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Correct Answer: Option D

Explanation:
Neonatal period is the first 28 days of life. NMR = (Neonatal deaths / Live births) × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #108
Perinatal mortality rate includes:
A. Maternal deaths
B. All infant deaths
C. Deaths under one year
D. Stillbirths and deaths in the first week of life
Discuss
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Correct Answer: Option D

Explanation:
Perinatal mortality covers late fetal deaths (stillbirths) and early neonatal deaths (first 7 days).
This question belongs to: Accountancy and Statistics Statistics
Question #109
Standardized death rate is used to compare mortality between populations with different:
A. Income levels
B. Fertility rates
C. Population sizes
D. Age structures
Discuss
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Correct Answer: Option D

Explanation:
Age structure affects crude death rates; standardization removes this effect to allow fair comparison.
This question belongs to: Accountancy and Statistics Statistics
Question #110
Crude Death Rate (CDR) for a population of 50,000 with 400 deaths in a year is:
A. 0.8 per 1000
B. 8 per 1000
C. 0.08 per 1000
D. 80 per 1000
Discuss
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Correct Answer: Option B

Explanation:
CDR = (400 / 50000) × 1000 = 0.008 × 1000 = 8 per 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #111
Life expectancy at birth is the:
A. Maximum age a person can live
B. Average age at death of a cohort
C. Number of years a newborn is expected to live under current mortality patterns
D. Median age of the population
Discuss
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Correct Answer: Option C

Explanation:
Life expectancy at birth summarizes the age-specific mortality rates in a given period into a single synthetic measure.
This question belongs to: Accountancy and Statistics Statistics
Question #112
If P(A)=0.3, P(B)=0.5, and P(A∩B)=0.15, then A and B are:
A. Dependent
B. Both mutually exclusive and independent
C. Independent
D. Mutually exclusive
Discuss
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Correct Answer: Option C

Explanation:
P(A)P(B) = 0.3×0.5 = 0.15 = P(A∩B), satisfying the condition for independence.
This question belongs to: Accountancy and Statistics Statistics
Question #113
A card is drawn from a standard deck. Probability it is a king or a heart is:
A. 4/13
B. 17/52
C. 1/4
D. 16/52
Discuss
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Correct Answer: Option D

Explanation:
P(king ∪ heart) = P(king) + P(heart) - P(king of hearts) = 4/52 + 13/52 - 1/52 = 16/52.
This question belongs to: Accountancy and Statistics Statistics
Question #114
Two dice are rolled. Probability that the sum is 7 or 11 is:
A. 1/6
B. 7/36
C. 5/36
D. 2/9
Discuss
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Correct Answer: Option D

Explanation:
Ways for sum 7: 6; for sum 11: 2. Total favorable = 8. Probability = 8/36 = 2/9.
This question belongs to: Accountancy and Statistics Statistics
Question #115
In a bolt factory, machines A(25%), B(35%), C(40%) produce bolts with defective rates 5%,4%,2%. A bolt is defective. Probability it came from C is:
A. 0.40
B. 0.23
C. 0.02
D. 0.35
Discuss
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Correct Answer: Option B

Explanation:
Bayes: P(C|D) = (0.4×0.02) / (0.25×0.05+0.35×0.04+0.4×0.02) = 0.008/0.0345 ≈ 0.2319.
This question belongs to: Accountancy and Statistics Statistics
Question #116
For any two events A and B, P(A∪B) is:
A. Always ≤ P(A) + P(B)
B. Both A and B
C. Always ≥ P(A∩B)
D. Always ≤ 1
Discuss
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Correct Answer: Option B

Explanation:
By the addition rule, P(A∪B) ≤ P(A)+P(B), and probability of any event is ≤1.
This question belongs to: Accountancy and Statistics Statistics
Question #117
If P(A)=0.6, P(B)=0.5, P(A∩B)=0.4, then P(A|B) is:
A. 0.8
B. 0.67
C. 0.75
D. 0.4
Discuss
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Correct Answer: Option A

Explanation:
P(A|B) = P(A∩B)/P(B) = 0.4/0.5 = 0.8.
This question belongs to: Accountancy and Statistics Statistics
Question #118
For given data Σp₁q₀=480, Σp₀q₀=400, Σp₁q₁=600, Σp₀q₁=500. Fisher's index is:
A. 122.5
B. 124.9
C. 121.0
D. 120.0
Discuss
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Correct Answer: Option D

Explanation:
Laspeyres = 480/400×100=120; Paasche = 600/500×100=120; Fisher = √(120×120) = 120.
This question belongs to: Accountancy and Statistics Statistics
Question #119
If Laspeyres index = 125 and Paasche index = 120, Fisher's index is approximately:
A. 123.0
B. 121.0
C. 122.47
D. 122.5
Discuss
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Correct Answer: Option C

Explanation:
Fisher = √(125 × 120) = √15000 ≈ 122.474.
This question belongs to: Accountancy and Statistics Statistics
Question #120
Which index number formula uses the unweighted geometric mean of price relatives?
A. Fisher
B. Laspeyres
C. Jevons
D. Paasche
Discuss
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Correct Answer: Option C

Explanation:
The Jevons index is the geometric mean of the price relatives, giving equal weight to each item.
This question belongs to: Accountancy and Statistics Statistics

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