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 39 of 66
Question #761
The geometric mean of a set of values is less than or equal to the arithmetic mean. This is known as:
A. Bayes' theorem
B. Time reversal test
C. Central limit theorem
D. AM-GM inequality
Discuss
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Correct Answer: Option D

Explanation:
For non-negative numbers, AM ≥ GM always holds.
This question belongs to: Accountancy and Statistics Statistics
Question #762
Harmonic mean is the reciprocal of the arithmetic mean of:
A. Squares of observations
B. Observations themselves
C. Reciprocals of observations
D. Logarithms of observations
Discuss
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Correct Answer: Option C

Explanation:
HM = 1 / [ (1/n) Σ (1/x_i) ].
This question belongs to: Accountancy and Statistics Statistics
Question #763
If the arithmetic mean of 7 numbers is 12, the sum of these numbers is:
A. 7
B. 12
C. 84
D. 19
Discuss
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Correct Answer: Option C

Explanation:
Sum = mean × n = 12 × 7 = 84.
This question belongs to: Accountancy and Statistics Statistics
Question #764
When rolling a fair die, the probability of getting a number greater than 4 is:
A. 1/3
B. 1/6
C. 1/2
D. 2/3
Discuss
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Correct Answer: Option A

Explanation:
Numbers >4 are 5,6 → 2 out of 6 → probability = 1/3.
This question belongs to: Accountancy and Statistics Statistics
Question #765
If P(A)=0.4, P(B)=0.3, and A, B are mutually exclusive, then P(A∪B) is:
A. 0.1
B. 0.58
C. 0.12
D. 0.7
Discuss
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Correct Answer: Option D

Explanation:
P(A∪B) = P(A)+P(B) = 0.4+0.3=0.7.
This question belongs to: Accountancy and Statistics Statistics
Question #766
For two attributes, if (AB) is less than the expected frequency under independence, there is:
A. Negative association
B. Positive association
C. No association
D. Perfect association
Discuss
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Correct Answer: Option A

Explanation:
Observed less than expected indicates negative association.
This question belongs to: Accountancy and Statistics Statistics
Question #767
If (A)=60, (B)=40, N=100, and attributes are independent, then (AB) should be:
A. 20
B. 30
C. 100
D. 24
Discuss
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Correct Answer: Option D

Explanation:
Expected (AB) = (A)×(B)/N = 60×40/100 = 24.
This question belongs to: Accountancy and Statistics Statistics
Question #768
Which of the following is NOT a test of index numbers?
A. Time reversal test
B. Circular test
C. Factor reversal test
D. Mean test
Discuss
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Correct Answer: Option D

Explanation:
Common tests are time reversal, factor reversal, and circular test. 'Mean test' is not standard.
This question belongs to: Accountancy and Statistics Statistics
Question #769
The Wholesale Price Index (WPI) base year 2011-12 includes:
A. Only food articles
B. Goods only, grouped into primary, fuel, and manufactured products
C. Consumer durables only
D. Services
Discuss
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Correct Answer: Option B

Explanation:
WPI basket comprises goods under three major groups: Primary Articles, Fuel & Power, Manufactured Products.
This question belongs to: Accountancy and Statistics Statistics
Question #770
The total population of India as per Census 2011 was approximately:
A. 1.21 billion
B. 1.35 billion
C. 1.02 billion
D. 1.40 billion
Discuss
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Correct Answer: Option A

Explanation:
India's population in 2011 was 1.21 billion (1210.2 million).
This question belongs to: Accountancy and Statistics Statistics
Question #771
The TFR is expressed as:
A. Population per sq km
B. Deaths per 1000 live births
C. Births per 1000 women
D. Children per woman
Discuss
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Correct Answer: Option D

Explanation:
Total Fertility Rate is the average number of children a woman would bear.
This question belongs to: Accountancy and Statistics Statistics
Question #772
If GRR is 1.2, it means:
A. A woman has 1.2 children on average
B. 1.2 births per 1000 women
C. A woman has 1.2 daughters on average
D. Population growth is 1.2%
Discuss
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Correct Answer: Option C

Explanation:
GRR measures average number of daughters per woman.
This question belongs to: Accountancy and Statistics Statistics
Question #773
Neonatal mortality rate is expressed per:
A. 1000 live births
B. 1000 total births
C. 1000 population
D. 1000 women
Discuss
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Correct Answer: Option A

Explanation:
NMR = (Neonatal deaths / Live births) × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #774
The SRS (Sample Registration System) provides data on:
A. Industrial output
B. Imports and exports
C. Census population
D. Birth rate and death rate
Discuss
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Correct Answer: Option D

Explanation:
SRS gives annual estimates of fertility and mortality indicators.
This question belongs to: Accountancy and Statistics Statistics
Question #775
Which of the following is a use of index numbers?
A. Measuring area
B. Measuring population growth
C. Measuring literacy
D. Measuring inflation
Discuss
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Correct Answer: Option D

Explanation:
Index numbers are widely used to track changes in price levels, cost of living, etc.
This question belongs to: Accountancy and Statistics Statistics
Question #776
In demography, 'cohort' refers to:
A. All women of reproductive age
B. A group of people born in the same year or period
C. All people living in a country
D. A sample of the population
Discuss
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Correct Answer: Option B

Explanation:
A cohort is a group sharing a common temporal experience, like birth year.
This question belongs to: Accountancy and Statistics Statistics
Question #777
If a country's life expectancy at birth is high, it indicates:
A. High infant mortality
B. Good overall health conditions
C. Low fertility
D. Poor healthcare
Discuss
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Correct Answer: Option B

Explanation:
High life expectancy reflects low mortality and better health services.
This question belongs to: Accountancy and Statistics Statistics
Question #778
The primary advantage of secondary data is:
A. Saves time and money
B. High accuracy
C. Unique
D. Tailored to research need
Discuss
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Correct Answer: Option A

Explanation:
Secondary data is already available, reducing time and cost of collection.
This question belongs to: Accountancy and Statistics Statistics
Question #779
Which of the following is a disadvantage of direct personal interview?
A. Low response rate
B. Data not reliable
C. High cost and time-consuming
D. Unsuitable for illiterates
Discuss
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Correct Answer: Option C

Explanation:
Direct interviews require trained staff, travel, and time, making them expensive.
This question belongs to: Accountancy and Statistics Statistics
Question #780
The arrangement of data into classes based on common characteristics is:
A. Tabulation
B. Analysis
C. Classification
D. Presentation
Discuss
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Correct Answer: Option C

Explanation:
Classification is the process of grouping data into categories.
This question belongs to: Accountancy and Statistics Statistics

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