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.
Question #101
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Gross Reproduction Rate (GRR) is calculated as TFR multiplied by:
Correct Answer: Option D
Explanation:
GRR = TFR × (female births / total births), representing the average number of daughters a woman would have.
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
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Net Reproduction Rate (NRR) takes into account:
Correct Answer: Option D
Explanation:
NRR adjusts GRR for the mortality of women during reproductive ages; it indicates replacement level.
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
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If NRR = 1, it indicates:
Correct Answer: Option C
Explanation:
NRR = 1 means each woman is replaced by exactly one daughter who survives to reproductive age, implying exact replacement.
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
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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:
Correct Answer: Option D
Explanation:
Sum of ASFRs = 415 per 1000. TFR = 5 × 415/1000 = 2075/1000 = 2.075 children per woman.
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
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Infant Mortality Rate (IMR) is the number of deaths of infants under one year per:
Correct Answer: Option B
Explanation:
IMR = (Infant deaths < 1 year / Live births) × 1000.
IMR = (Infant deaths < 1 year / Live births) × 1000.
This question belongs to:
Accountancy and Statistics
Statistics
Question #106
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Maternal Mortality Ratio (MMR) is expressed per:
Correct Answer: Option A
Explanation:
MMR is the number of maternal deaths per 100,000 live births.
MMR is the number of maternal deaths per 100,000 live births.
This question belongs to:
Accountancy and Statistics
Statistics
Question #107
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Neonatal mortality rate covers deaths of infants aged:
Correct Answer: Option D
Explanation:
Neonatal period is the first 28 days of life. NMR = (Neonatal deaths / Live births) × 1000.
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
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Perinatal mortality rate includes:
Correct Answer: Option C
Explanation:
Perinatal mortality covers late fetal deaths (stillbirths) and early neonatal deaths (first 7 days).
Perinatal mortality covers late fetal deaths (stillbirths) and early neonatal deaths (first 7 days).
This question belongs to:
Accountancy and Statistics
Statistics
Question #109
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Standardized death rate is used to compare mortality between populations with different:
Correct Answer: Option B
Explanation:
Age structure affects crude death rates; standardization removes this effect to allow fair comparison.
Age structure affects crude death rates; standardization removes this effect to allow fair comparison.
This question belongs to:
Accountancy and Statistics
Statistics
Question #110
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Crude Death Rate (CDR) for a population of 50,000 with 400 deaths in a year is:
Correct Answer: Option B
Explanation:
CDR = (400 / 50000) × 1000 = 0.008 × 1000 = 8 per 1000.
CDR = (400 / 50000) × 1000 = 0.008 × 1000 = 8 per 1000.
This question belongs to:
Accountancy and Statistics
Statistics
Question #111
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Life expectancy at birth is the:
Correct Answer: Option B
Explanation:
Life expectancy at birth summarizes the age-specific mortality rates in a given period into a single synthetic measure.
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
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If P(A)=0.3, P(B)=0.5, and P(A∩B)=0.15, then A and B are:
Correct Answer: Option B
Explanation:
P(A)P(B) = 0.3×0.5 = 0.15 = P(A∩B), satisfying the condition for independence.
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
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A card is drawn from a standard deck. Probability it is a king or a heart is:
Correct Answer: Option B
Explanation:
P(king ∪ heart) = P(king) + P(heart) - P(king of hearts) = 4/52 + 13/52 - 1/52 = 16/52.
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
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Two dice are rolled. Probability that the sum is 7 or 11 is:
Correct Answer: Option B
Explanation:
Ways for sum 7: 6; for sum 11: 2. Total favorable = 8. Probability = 8/36 = 2/9.
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
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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:
Correct Answer: Option C
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.
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
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For any two events A and B, P(A∪B) is:
Correct Answer: Option A
Explanation:
By the addition rule, P(A∪B) ≤ P(A)+P(B), and probability of any event is ≤1.
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
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If P(A)=0.6, P(B)=0.5, P(A∩B)=0.4, then P(A|B) is:
Correct Answer: Option B
Explanation:
P(A|B) = P(A∩B)/P(B) = 0.4/0.5 = 0.8.
P(A|B) = P(A∩B)/P(B) = 0.4/0.5 = 0.8.
This question belongs to:
Accountancy and Statistics
Statistics
Question #118
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For given data Σp₁q₀=480, Σp₀q₀=400, Σp₁q₁=600, Σp₀q₁=500. Fisher's index is:
Correct Answer: Option A
Explanation:
Laspeyres = 480/400×100=120; Paasche = 600/500×100=120; Fisher = √(120×120) = 120.
Laspeyres = 480/400×100=120; Paasche = 600/500×100=120; Fisher = √(120×120) = 120.
This question belongs to:
Accountancy and Statistics
Statistics
Question #119
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If Laspeyres index = 125 and Paasche index = 120, Fisher's index is approximately:
Correct Answer: Option C
Explanation:
Fisher = √(125 × 120) = √15000 ≈ 122.474.
Fisher = √(125 × 120) = √15000 ≈ 122.474.
This question belongs to:
Accountancy and Statistics
Statistics
Question #120
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Which index number formula uses the unweighted geometric mean of price relatives?
Correct Answer: Option D
Explanation:
The Jevons index is the geometric mean of the price relatives, giving equal weight to each item.
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
