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 #41
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To compare the health conditions of two populations with entirely different age compositions, the most suitable mortality measure is the:
Correct Answer: Option B
Explanation:
Standardized Death Rates adjust for age distribution differences, allowing for a fair comparison of mortality between different populations.
Standardized Death Rates adjust for age distribution differences, allowing for a fair comparison of mortality between different populations.
This question belongs to:
Accountancy and Statistics
Statistics
Question #42
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A life table is primarily based on which of the following demographic measures?
Correct Answer: Option C
Explanation:
Life tables are constructed using Age Specific Death Rates (qx) to determine the probability of surviving from one age to the next.
Life tables are constructed using Age Specific Death Rates (qx) to determine the probability of surviving from one age to the next.
This question belongs to:
Accountancy and Statistics
Statistics
Question #43
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Which of the following is an example of primary data?
Correct Answer: Option C
Explanation:
Primary data is original data collected firsthand for a specific purpose; a survey questionnaire is a primary source. The other options are secondary data.
Primary data is original data collected firsthand for a specific purpose; a survey questionnaire is a primary source. The other options are secondary data.
This question belongs to:
Accountancy and Statistics
Statistics
Question #44
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Which method of collecting primary data is most suitable when informants are illiterate and the investigator wants to ensure high accuracy?
Correct Answer: Option A
Explanation:
Direct personal interview allows the enumerator to clarify questions and probe for accurate responses, making it ideal for illiterate respondents.
Direct personal interview allows the enumerator to clarify questions and probe for accurate responses, making it ideal for illiterate respondents.
This question belongs to:
Accountancy and Statistics
Statistics
Question #45
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Which of the following is NOT a method of collecting primary data?
Correct Answer: Option A
Explanation:
Using published government reports is a source of secondary data. The other methods involve collecting data firsthand.
Using published government reports is a source of secondary data. The other methods involve collecting data firsthand.
This question belongs to:
Accountancy and Statistics
Statistics
Question #46
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In the context of primary data collection, a schedule is:
Correct Answer: Option D
Explanation:
A schedule is administered by an enumerator who records the responses, unlike a questionnaire which is self-administered by the respondent.
A schedule is administered by an enumerator who records the responses, unlike a questionnaire which is self-administered by the respondent.
This question belongs to:
Accountancy and Statistics
Statistics
Question #47
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Which of the following is a source of secondary data?
Correct Answer: Option C
Explanation:
An unpublished thesis is a document containing data originally collected by someone else, making it secondary data for another researcher.
An unpublished thesis is a document containing data originally collected by someone else, making it secondary data for another researcher.
This question belongs to:
Accountancy and Statistics
Statistics
Question #48
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A good questionnaire should avoid leading questions. A leading question is one that:
Correct Answer: Option A
Explanation:
A leading question biases the respondent towards a specific response, undermining objectivity.
A leading question biases the respondent towards a specific response, undermining objectivity.
This question belongs to:
Accountancy and Statistics
Statistics
Question #49
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In questionnaire design, which sequence of questions is most recommended?
Correct Answer: Option B
Explanation:
Starting with easy, non-threatening questions builds rapport; sensitive questions are placed at the end to reduce dropouts.
Starting with easy, non-threatening questions builds rapport; sensitive questions are placed at the end to reduce dropouts.
This question belongs to:
Accountancy and Statistics
Statistics
Question #50
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Which principle is violated if a questionnaire contains the question 'What is your income and how many children do you have?'
Correct Answer: Option A
Explanation:
A double-barreled question asks about two different things at once, making it impossible to answer accurately for one part.
A double-barreled question asks about two different things at once, making it impossible to answer accurately for one part.
This question belongs to:
Accountancy and Statistics
Statistics
Question #51
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The process of arranging data in rows and columns is called:
Correct Answer: Option D
Explanation:
Tabulation is the systematic arrangement of data in rows and columns for easy comparison and analysis.
Tabulation is the systematic arrangement of data in rows and columns for easy comparison and analysis.
This question belongs to:
Accountancy and Statistics
Statistics
Question #52
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In a frequency distribution with exclusive class intervals 0-10, 10-20, 20-30, a value exactly equal to 20 should be included in:
Correct Answer: Option D
Explanation:
In exclusive classification, the upper limit is excluded; thus 20 belongs to the class 20-30.
In exclusive classification, the upper limit is excluded; thus 20 belongs to the class 20-30.
This question belongs to:
Accountancy and Statistics
Statistics
Question #53
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The cumulative frequency curve is also known as:
Correct Answer: Option A
Explanation:
An ogive is a graph of cumulative frequencies plotted against the upper class boundaries (less than type) or lower boundaries (more than type).
An ogive is a graph of cumulative frequencies plotted against the upper class boundaries (less than type) or lower boundaries (more than type).
This question belongs to:
Accountancy and Statistics
Statistics
Question #54
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According to Sturges' rule, the approximate number of classes for n = 50 is: (Use k = 1 + 3.322 log₁₀ n)
Correct Answer: Option A
Explanation:
log₁₀50 ≈ 1.699; 3.322 × 1.699 ≈ 5.64; 1 + 5.64 = 6.64, which rounds to 7 classes.
log₁₀50 ≈ 1.699; 3.322 × 1.699 ≈ 5.64; 1 + 5.64 = 6.64, which rounds to 7 classes.
This question belongs to:
Accountancy and Statistics
Statistics
Question #55
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The arithmetic mean of 5 numbers is 20. If one number is excluded, the mean of the remaining 4 numbers becomes 18. The excluded number is:
Correct Answer: Option B
Explanation:
Sum of 5 numbers = 5 × 20 = 100. Sum of 4 numbers = 4 × 18 = 72. Excluded number = 100 - 72 = 28.
Sum of 5 numbers = 5 × 20 = 100. Sum of 4 numbers = 4 × 18 = 72. Excluded number = 100 - 72 = 28.
This question belongs to:
Accountancy and Statistics
Statistics
Question #56
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The geometric mean of two numbers a and b is 6, and their arithmetic mean is 10. The numbers are:
Correct Answer: Option A
Explanation:
a + b = 20 and ab = 36. Solving gives 2 and 18 (2 + 18 = 20, 2 × 18 = 36).
a + b = 20 and ab = 36. Solving gives 2 and 18 (2 + 18 = 20, 2 × 18 = 36).
This question belongs to:
Accountancy and Statistics
Statistics
Question #57
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The harmonic mean of 2, 3, and 6 is:
Correct Answer: Option A
Explanation:
Reciprocals: 1/2, 1/3, 1/6. Sum = 1. AM of reciprocals = 1/3. HM = 1/(1/3) = 3.
Reciprocals: 1/2, 1/3, 1/6. Sum = 1. AM of reciprocals = 1/3. HM = 1/(1/3) = 3.
This question belongs to:
Accountancy and Statistics
Statistics
Question #58
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A student's marks in three subjects with weights 3, 2, 1 are 80, 90, 70 respectively. The weighted mean is:
Correct Answer: Option C
Explanation:
Weighted sum = 3×80 + 2×90 + 1×70 = 490. Sum of weights = 6. Mean = 490/6 = 81.67.
Weighted sum = 3×80 + 2×90 + 1×70 = 490. Sum of weights = 6. Mean = 490/6 = 81.67.
This question belongs to:
Accountancy and Statistics
Statistics
Question #59
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The combined mean of two groups with n₁=20, mean₁=50 and n₂=30, mean₂=60 is:
Correct Answer: Option D
Explanation:
Combined mean = (20×50 + 30×60) / (20+30) = (1000+1800)/50 = 2800/50 = 56.
Combined mean = (20×50 + 30×60) / (20+30) = (1000+1800)/50 = 2800/50 = 56.
This question belongs to:
Accountancy and Statistics
Statistics
Question #60
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The property that the sum of squared deviations from the measure is minimum is characteristic of:
Correct Answer: Option A
Explanation:
The arithmetic mean minimizes the sum of squared deviations, i.e., Σ(x - x̄)² is minimum.
The arithmetic mean minimizes the sum of squared deviations, i.e., Σ(x - x̄)² is minimum.
This question belongs to:
Accountancy and Statistics
Statistics
