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 #181
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A committee of 4 is to be selected from 5 men and 4 women. The probability that the committee has exactly 2 women is:
Correct Answer: Option A
Explanation:
Total ways C(9,4)=126. Favorable: C(4,2)×C(5,2)=6×10=60. Probability = 60/126 = 10/21.
Total ways C(9,4)=126. Favorable: C(4,2)×C(5,2)=6×10=60. Probability = 60/126 = 10/21.
This question belongs to:
Accountancy and Statistics
Statistics
Question #182
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If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A' ∩ B') equals:
Correct Answer: Option D
Explanation:
P(A')=0.6, P(B')=0.5, independence ⇒ P(A'∩B') = 0.6 × 0.5 = 0.3.
P(A')=0.6, P(B')=0.5, independence ⇒ P(A'∩B') = 0.6 × 0.5 = 0.3.
This question belongs to:
Accountancy and Statistics
Statistics
Question #183
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Given P(A)=0.6, P(B)=0.5, P(A∪B)=0.9, then P(A|B) is:
Correct Answer: Option D
Explanation:
P(A∩B) = 0.6+0.5-0.9 = 0.2. P(A|B) = 0.2/0.5 = 0.4.
P(A∩B) = 0.6+0.5-0.9 = 0.2. P(A|B) = 0.2/0.5 = 0.4.
This question belongs to:
Accountancy and Statistics
Statistics
Question #184
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Bayes' theorem is primarily used to compute:
Correct Answer: Option A
Explanation:
Bayes' theorem updates prior beliefs with new evidence to yield posterior probabilities.
Bayes' theorem updates prior beliefs with new evidence to yield posterior probabilities.
This question belongs to:
Accountancy and Statistics
Statistics
Question #185
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For two attributes, the number of ultimate class frequencies is:
Correct Answer: Option A
Explanation:
With two attributes, there are 2² = 4 mutually exclusive classes (AB, Aβ, αB, αβ).
With two attributes, there are 2² = 4 mutually exclusive classes (AB, Aβ, αB, αβ).
This question belongs to:
Accountancy and Statistics
Statistics
Question #186
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The consistency condition (A) ≥ (AB) is:
Correct Answer: Option B
Explanation:
It is always logically true that the number possessing A cannot be less than those possessing both A and B, and it is required for consistency.
It is always logically true that the number possessing A cannot be less than those possessing both A and B, and it is required for consistency.
This question belongs to:
Accountancy and Statistics
Statistics
Question #187
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If (AB)=0, then the association between A and B indicates:
Correct Answer: Option C
Explanation:
(AB)=0 means the two attributes never occur together, indicating complete negative association (disassociation).
(AB)=0 means the two attributes never occur together, indicating complete negative association (disassociation).
This question belongs to:
Accountancy and Statistics
Statistics
Question #188
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The chain base index number is calculated by:
Correct Answer: Option C
Explanation:
Chain indices are built by multiplying link relatives (current period relative to previous period).
Chain indices are built by multiplying link relatives (current period relative to previous period).
This question belongs to:
Accountancy and Statistics
Statistics
Question #189
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If the price index for 2020 with base 2015 is 125, and for 2025 with base 2020 is 120, the index for 2025 with base 2015 using chain method is:
Correct Answer: Option B
Explanation:
Chain index = 125 × (120/100) = 125 × 1.2 = 150.
Chain index = 125 × (120/100) = 125 × 1.2 = 150.
This question belongs to:
Accountancy and Statistics
Statistics
Question #190
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The base year of All India CPI (Combined) currently is:
Correct Answer: Option A
Explanation:
The new series of CPI (Rural, Urban, Combined) has base year 2012.
The new series of CPI (Rural, Urban, Combined) has base year 2012.
This question belongs to:
Accountancy and Statistics
Statistics
Question #191
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The primary measure of inflation used by RBI for monetary policy is:
Correct Answer: Option C
Explanation:
RBI adopted the CPI (Combined) as the key measure of inflation for policy targets.
RBI adopted the CPI (Combined) as the key measure of inflation for policy targets.
This question belongs to:
Accountancy and Statistics
Statistics
Question #192
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The dependency ratio is the ratio of:
Correct Answer: Option D
Explanation:
Dependency ratio = (population 0-14 + 65+) / (population 15-64), measuring economic burden.
Dependency ratio = (population 0-14 + 65+) / (population 15-64), measuring economic burden.
This question belongs to:
Accountancy and Statistics
Statistics
Question #193
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Crude birth rate for a population of 200,000 with 4,000 live births in a year is:
Correct Answer: Option B
Explanation:
CBR = (4000 / 200000) × 1000 = 0.02 × 1000 = 20 per 1000.
CBR = (4000 / 200000) × 1000 = 0.02 × 1000 = 20 per 1000.
This question belongs to:
Accountancy and Statistics
Statistics
Question #194
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In most human populations, the age group with the highest age-specific fertility rate is typically:
Correct Answer: Option C
Explanation:
Fertility peaks in the 20-24 or 25-29 age range; commonly 20-24 is the highest in many populations.
Fertility peaks in the 20-24 or 25-29 age range; commonly 20-24 is the highest in many populations.
This question belongs to:
Accountancy and Statistics
Statistics
Question #195
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The Maternal Mortality Ratio (MMR) in India has recently declined to around:
Correct Answer: Option B
Explanation:
As per SRS 2016-18, India's MMR was 113 per 100,000 live births.
As per SRS 2016-18, India's MMR was 113 per 100,000 live births.
This question belongs to:
Accountancy and Statistics
Statistics
Question #196
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Vital statistics are used for:
Correct Answer: Option D
Explanation:
Vital statistics inform public health planning, demographic estimates, and insurance mathematics.
Vital statistics inform public health planning, demographic estimates, and insurance mathematics.
This question belongs to:
Accountancy and Statistics
Statistics
Question #197
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Infant Mortality Rate is considered a sensitive indicator of:
Correct Answer: Option D
Explanation:
IMR reflects the quality of healthcare, nutrition, and living conditions, especially for the most vulnerable.
IMR reflects the quality of healthcare, nutrition, and living conditions, especially for the most vulnerable.
This question belongs to:
Accountancy and Statistics
Statistics
Question #198
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In a Laspeyres price index, the weights are:
Correct Answer: Option B
Explanation:
Laspeyres index weights items by base period quantities, keeping the basket constant.
Laspeyres index weights items by base period quantities, keeping the basket constant.
This question belongs to:
Accountancy and Statistics
Statistics
Question #199
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If Σp₁q₀ = 720 and Σp₀q₀ = 600, the Laspeyres price index is:
Correct Answer: Option B
Explanation:
P_L = 720/600 × 100 = 120.
P_L = 720/600 × 100 = 120.
This question belongs to:
Accountancy and Statistics
Statistics
Question #200
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Which of the following statements is true?
Correct Answer: Option C
Explanation:
Fisher's ideal index = √(Laspeyres × Paasche).
Fisher's ideal index = √(Laspeyres × Paasche).
This question belongs to:
Accountancy and Statistics
Statistics
