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 46 of 66
Question #901
Which of the following statements about the Census of India is correct?
A. It is conducted every 5 years.
B. It does not collect literacy data.
C. It uses the de jure method of enumeration.
D. It covers only the rural population.

Correct Answer: Option C


Explanation:
Indian census uses the de jure (usual residence) method. It is decennial, covers whole country, collects literacy.

This question belongs to: Accountancy and Statistics Statistics
Question #902
Consider the following pairs: (1) CBR - Per 1000 population, (2) GFR - Per 1000 women aged 15-49, (3) IMR - Per 1000 live births. Which pair is correctly matched?
A. 2 and 3 only
B. 1, 2 and 3
C. 1 and 3 only
D. 1 and 2 only

Correct Answer: Option B


Explanation:
All three definitions are correct.

This question belongs to: Accountancy and Statistics Statistics
Question #903
Assertion (A): The crude death rate of a developed country may be higher than that of a developing country. Reason (R): Developed countries often have an older age structure. Choose the correct option:
A. A is true, R is false
B. Both A and R are true, but R is not the correct explanation of A
C. A is false, R is true
D. Both A and R are true, and R is the correct explanation of A

Correct Answer: Option D


Explanation:
CDR can be higher in developed countries due to larger elderly population, despite lower age-specific mortality. R explains A.

This question belongs to: Accountancy and Statistics Statistics
Question #904
Which of the following statements about maternal mortality ratio (MMR) is incorrect?
A. MMR has declined in India over recent decades.
B. MMR is the number of maternal deaths per 100,000 live births.
C. MMR is a measure of fertility.
D. High MMR indicates poor maternal healthcare.

Correct Answer: Option C


Explanation:
MMR is a mortality indicator, not a fertility measure.

This question belongs to: Accountancy and Statistics Statistics
Question #905
The perinatal mortality rate includes:
A. Deaths from 1 month to 1 year
B. Stillbirths and deaths in first week of life
C. All infant deaths under one year
D. Maternal deaths during childbirth

Correct Answer: Option B


Explanation:
Perinatal period = 28 weeks gestation to 7 days after birth.

This question belongs to: Accountancy and Statistics Statistics
Question #906
In a life table, the radix (l₀) is usually:
A. 1,000,000
B. 100,000
C. 10,000
D. 1000

Correct Answer: Option B


Explanation:
Typically, l₀ = 100,000, representing the hypothetical birth cohort.

This question belongs to: Accountancy and Statistics Statistics
Question #907
If age-specific death rates are applied to a standard population, the resulting rate is called:
A. Indirectly standardized death rate
B. Crude death rate
C. Specific death rate
D. Directly standardized death rate

Correct Answer: Option D


Explanation:
Direct standardization uses study population's age-specific rates with a standard population structure.

This question belongs to: Accountancy and Statistics Statistics
Question #908
Which of the following best describes 'demographic dividend'?
A. Increase in the share of working-age population
B. Increase in old-age dependency
C. Increase in population growth rate
D. Increase in fertility

Correct Answer: Option A


Explanation:
Demographic dividend refers to the economic growth potential from a larger proportion of working-age people.

This question belongs to: Accountancy and Statistics Statistics
Question #909
Which of the following is a direct source of demographic data in India?
A. Annual Report of RBI
B. Census of India
C. National Sample Survey (NSS)
D. Economic Survey

Correct Answer: Option B


Explanation:
Census is the primary source of demographic data; NSS also provides demographic data but census is the most direct comprehensive source.

This question belongs to: Accountancy and Statistics Statistics
Question #910
Assertion (A): The arithmetic mean is not a robust measure of central tendency. Reason (R): It is highly influenced by outliers. Choose the correct option:
A. Both A and R are true, but R is not the correct explanation of A
B. A is false, R is true
C. A is true, R is false
D. Both A and R are true, and R is the correct explanation of A

Correct Answer: Option D


Explanation:
The mean is sensitive to extreme values, making it non-robust. R explains why.

This question belongs to: Accountancy and Statistics Statistics
Question #911
Which measure of central tendency is defined only when all observations are positive?
A. Median
B. Arithmetic mean
C. Mode
D. Geometric mean (for meaningful result) and Harmonic mean (for positive numbers, but GM is undefined for negatives/zero)

Correct Answer: Option D


Explanation:
Geometric mean requires all positive values; otherwise it's undefined or zero. Harmonic mean also requires non-zero values, but GM is more restricted. Actually, GM is defined only for positive data if we want real numbers. So C.

This question belongs to: Accountancy and Statistics Statistics
Question #912
If the sum of 50 observations is 500, the arithmetic mean is 10. If each observation is multiplied by 3, the new mean is:
A. 10
B. 300
C. 30
D. 13

Correct Answer: Option C


Explanation:
Mean scales by the same factor.

This question belongs to: Accountancy and Statistics Statistics
Question #913
The combined mean of two groups of sizes n₁ and n₂ with means x̄₁ and x̄₂ is given by:
A. (n₁x̄₁ + n₂x̄₂)/2
B. (n₁x̄₁ + n₂x̄₂)/(n₁ + n₂)
C. (x̄₁ + x̄₂)/2
D. (x̄₁/x̄₂) × (n₁ + n₂)

Correct Answer: Option B


Explanation:
Combined mean is a weighted average.

This question belongs to: Accountancy and Statistics Statistics
Question #914
In a set of numbers, if the geometric mean is zero, then:
A. All numbers are zero
B. The arithmetic mean is also zero
C. The median is zero
D. At least one number is zero

Correct Answer: Option D


Explanation:
GM = 0 if any value is zero.

This question belongs to: Accountancy and Statistics Statistics
Question #915
Which of the following is an example of probability sampling?
A. Convenience sampling
B. Quota sampling
C. Simple random sampling
D. Judgment sampling

Correct Answer: Option C


Explanation:
Probability sampling involves random selection; simple random sampling is a basic method.

This question belongs to: Accountancy and Statistics Statistics
Question #916
If a questionnaire has a question: 'Don't you think the government should increase spending on education and health?' This is an example of:
A. Filter question
B. Double-barreled question
C. Leading question
D. Open-ended question

Correct Answer: Option B


Explanation:
It asks about two issues (education and health) simultaneously, and also has a leading tone, but primarily double-barreled because it combines two spending areas.

This question belongs to: Accountancy and Statistics Statistics
Question #917
Which of the following statements about the schedule method is correct?
A. It is unsuitable for illiterate respondents.
B. It has a lower response rate than mailed questionnaire.
C. It is cheaper than the mailed questionnaire method.
D. The enumerator records the responses, ensuring better quality data.

Correct Answer: Option D


Explanation:
Schedule method uses trained enumerators; it's costlier but yields better quality and higher response rate, suitable for illiterates.

This question belongs to: Accountancy and Statistics Statistics
Question #918
A good questionnaire should have:
A. Simple and clear language
B. Many open-ended questions to confuse
C. Double negatives for clarity
D. Questions arranged in random order

Correct Answer: Option A


Explanation:
Clarity and simplicity are fundamental principles.

This question belongs to: Accountancy and Statistics Statistics
Question #919
The process of editing in data processing refers to:
A. Calculating averages
B. Drawing graphs
C. Arranging data in tables
D. Checking and correcting data for errors

Correct Answer: Option D


Explanation:
Editing involves scrutiny of data to detect and correct errors.

This question belongs to: Accountancy and Statistics Statistics
Question #920
In a frequency distribution, if the class midpoints are 10, 20, 30, 40, the class width is:
A. 15
B. 20
C. 10
D. 5

Correct Answer: Option C


Explanation:
Difference between consecutive midpoints = 10, so class width = 10.

This question belongs to: Accountancy and Statistics Statistics

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