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.

1318
Total Questions

Practice Questions

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Question #41
To compare the health conditions of two populations with entirely different age compositions, the most suitable mortality measure is the:
A. Crude Death Rate
B. Infant Mortality Rate
C. Standardized Death Rate
D. Specific Death Rate
Discuss
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Correct Answer: Option C

Explanation:
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
A life table is primarily based on which of the following demographic measures?
A. Infant Mortality Rate
B. Age Specific Death Rate
C. General Fertility Rate
D. Age Specific Fertility Rate
Discuss
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Correct Answer: Option B

Explanation:
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
Which of the following is an example of primary data?
A. Data from Census of India 2011 used by a researcher
B. Data collected through a survey questionnaire for a specific study
C. Data from RBI bulletin on inflation
D. Data extracted from WHO reports
Discuss
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Correct Answer: Option B

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.
This question belongs to: Accountancy and Statistics Statistics
Question #44
Which method of collecting primary data is most suitable when informants are illiterate and the investigator wants to ensure high accuracy?
A. Direct personal interview
B. Information through local correspondents
C. Mailed questionnaire
D. Telephone interview
Discuss
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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.
This question belongs to: Accountancy and Statistics Statistics
Question #45
Which of the following is NOT a method of collecting primary data?
A. Observation method
B. Interview method
C. Schedules sent through enumerators
D. Using published government reports
Discuss
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Correct Answer: Option D

Explanation:
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
In the context of primary data collection, a schedule is:
A. A timetable for data collection
B. A set of questions filled by the enumerator based on responses from the informant
C. A set of questions filled by the informant
D. A list of topics for group discussion
Discuss
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Correct Answer: Option B

Explanation:
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
Which of the following is a source of secondary data?
A. Direct observation of traffic
B. Data collected through experiment
C. Unpublished thesis records
D. Personal diary of the investigator
Discuss
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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.
This question belongs to: Accountancy and Statistics Statistics
Question #48
A good questionnaire should avoid leading questions. A leading question is one that:
A. Is too long
B. Suggests a particular answer
C. Is open-ended
D. Uses technical jargon
Discuss
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Correct Answer: Option B

Explanation:
A leading question biases the respondent towards a specific response, undermining objectivity.
This question belongs to: Accountancy and Statistics Statistics
Question #49
In questionnaire design, which sequence of questions is most recommended?
A. Difficult and personal questions first, easy questions later
B. Easy and general questions first, then difficult and sensitive questions
C. Demographic questions at the very beginning
D. Random order to avoid bias
Discuss
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Correct Answer: Option B

Explanation:
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
Which principle is violated if a questionnaire contains the question 'What is your income and how many children do you have?'
A. Proper sequence
B. Avoid leading questions
C. Avoid double-barreled questions
D. Simplicity
Discuss
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Correct Answer: Option C

Explanation:
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
The process of arranging data in rows and columns is called:
A. Summarization
B. Tabulation
C. Compilation
D. Classification
Discuss
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Correct Answer: Option B

Explanation:
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
In a frequency distribution with exclusive class intervals 0-10, 10-20, 20-30, a value exactly equal to 20 should be included in:
A. 10-20
B. 20-30
C. Excluded from both
D. Either 10-20 or 20-30
Discuss
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Correct Answer: Option B

Explanation:
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
The cumulative frequency curve is also known as:
A. Frequency polygon
B. Ogive
C. Bar chart
D. Histogram
Discuss
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Correct Answer: Option B

Explanation:
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
According to Sturges' rule, the approximate number of classes for n = 50 is: (Use k = 1 + 3.322 log₁₀ n)
A. 8
B. 5
C. 6
D. 7
Discuss
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Correct Answer: Option D

Explanation:
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
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:
A. 30
B. 20
C. 22
D. 28
Discuss
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Correct Answer: Option D

Explanation:
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
The geometric mean of two numbers a and b is 6, and their arithmetic mean is 10. The numbers are:
A. 8 and 12
B. 4 and 16
C. 2 and 18
D. 3 and 17
Discuss
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Correct Answer: Option C

Explanation:
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
The harmonic mean of 2, 3, and 6 is:
A. 3
B. 2.8
C. 3.27
D. 3.6
Discuss
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Correct Answer: Option A

Explanation:
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
A student's marks in three subjects with weights 3, 2, 1 are 80, 90, 70 respectively. The weighted mean is:
A. 80
B. 81.67
C. 82
D. 85
Discuss
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Correct Answer: Option B

Explanation:
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
The combined mean of two groups with n₁=20, mean₁=50 and n₂=30, mean₂=60 is:
A. 55
B. 56
C. 57
D. 54
Discuss
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Correct Answer: Option B

Explanation:
Combined mean = (20×50 + 30×60) / (20+30) = (1000+1800)/50 = 2800/50 = 56.
This question belongs to: Accountancy and Statistics Statistics
Question #60
The property that the sum of squared deviations from the measure is minimum is characteristic of:
A. Mode
B. Arithmetic mean
C. Geometric mean
D. Median
Discuss
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Correct Answer: Option B

Explanation:
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

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