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 18 of 66
Question #341
Which of the following is NOT an application of the Consumer Price Index (CPI)?
A. Measuring inflation for households
B. Measuring macroeconomic industrial output
C. Wage negotiations and determining Dearness Allowance
D. Deflating income to find real income
Discuss
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Correct Answer: Option B

Explanation:
Industrial output is measured by the Index of Industrial Production (IIP). CPI measures the retail price impact on consumers.
This question belongs to: Accountancy and Statistics Statistics
Question #342
A demographer wants to study the mortality of infants specifically related to birth trauma or congenital issues. Which rate is best?
A. Crude death rate
B. Neonatal mortality rate
C. Standardized death rate
D. Post-neonatal mortality rate
Discuss
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Correct Answer: Option B

Explanation:
Neonatal deaths (first 28 days) are heavily driven by endogenous factors like birth defects and birth trauma.
This question belongs to: Accountancy and Statistics Statistics
Question #343
Assertion (A): Median is better than Mean for skewed distributions. Reason (R): Median is entirely immune to extreme values.
A. Both A and R are true and R is the correct explanation
B. A is false but R is true
C. A is true but R is false
D. Both A and R are true but R is NOT the correct explanation
Discuss
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Correct Answer: Option A

Explanation:
Median is a positional average based on rank, so an extreme outlier does not shift the median's location.
This question belongs to: Accountancy and Statistics Statistics
Question #344
To find the average of proportions, ratios, and percentages, the most appropriate mathematical average is:
A. Harmonic Mean
B. Median
C. Geometric Mean
D. Arithmetic Mean
Discuss
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Correct Answer: Option C

Explanation:
Geometric mean is mathematically the only correct average for analyzing multiplicative processes like ratios and percentages.
This question belongs to: Accountancy and Statistics Statistics
Question #345
A researcher wants to study the spending habits of households. She divides the city into blocks and randomly selects a few blocks, then surveys every household within them. This is an example of:
A. Systematic sampling
B. Stratified sampling
C. Quota sampling
D. Cluster sampling
Discuss
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Correct Answer: Option D

Explanation:
Selecting entire groups (clusters) randomly and surveying all units within is cluster sampling. It differs from stratified sampling where samples are drawn from each stratum.
This question belongs to: Accountancy and Statistics Statistics
Question #346
Which of the following is a disadvantage of secondary data?
A. Cheaper to collect
B. Saves time
C. May not fit the exact purpose of the study
D. Readily available
Discuss
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Correct Answer: Option C

Explanation:
Secondary data was collected for a different purpose, so it may not perfectly match the current research objective in terms of definitions, coverage, or time period.
This question belongs to: Accountancy and Statistics Statistics
Question #347
In a mail survey, which technique can help increase the response rate?
A. Making the questionnaire extremely long
B. Providing a cover letter explaining the study's importance
C. Using complex wording
D. Eliminating follow-up reminders
Discuss
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Correct Answer: Option B

Explanation:
A well-written cover letter that explains the purpose and assures confidentiality can motivate respondents to participate.
This question belongs to: Accountancy and Statistics Statistics
Question #348
The ‘footnote’ of a statistical table is used to:
A. Provide additional explanation or clarification about specific items
B. Give the title of the table
C. List the units of measurement
D. State the source of data
Discuss
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Correct Answer: Option A

Explanation:
Footnotes clarify specific cells or data points; the source is typically given separately, and the title is at the top.
This question belongs to: Accountancy and Statistics Statistics
Question #349
A question that offers the respondent a list of predefined answers to choose from is called:
A. Closed-ended question
B. Open-ended question
C. Double-barreled question
D. Leading question
Discuss
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Correct Answer: Option A

Explanation:
Closed-ended questions provide response options, making data coding easier, whereas open-ended allow free response.
This question belongs to: Accountancy and Statistics Statistics
Question #350
To study the opinion of employees about a new HR policy, the HR department sends an email link to a survey. The respondents voluntarily participate. This is a:
A. Voluntary response sample
B. Simple random sample
C. Stratified sample
D. Probability sample
Discuss
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Correct Answer: Option A

Explanation:
When respondents self-select, the sample is not probability-based and may be biased; this is a voluntary response sample.
This question belongs to: Accountancy and Statistics Statistics
Question #351
Which of the following is NOT a principle of questionnaire design?
A. Questions should be capable of being misinterpreted
B. Questions should be specific
C. Maintain logical sequence
D. Avoid leading questions
Discuss
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Correct Answer: Option A

Explanation:
Questions should be clear and unambiguous to prevent misinterpretation.
This question belongs to: Accountancy and Statistics Statistics
Question #352
The classification that arranges data according to time is called:
A. Chronological classification
B. Qualitative classification
C. Geographical classification
D. Quantitative classification
Discuss
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Correct Answer: Option A

Explanation:
Chronological classification groups data by time periods (e.g., yearly sales).
This question belongs to: Accountancy and Statistics Statistics
Question #353
In a frequency distribution, the class width is 8, and the mid-value of a class is 42. The lower limit of that class is:
A. 38
B. 34
C. 40
D. 36
Discuss
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Correct Answer: Option A

Explanation:
Lower limit = mid-value - width/2 = 42 - 4 = 38.
This question belongs to: Accountancy and Statistics Statistics
Question #354
The percentage frequency of a class is the class frequency divided by total frequency, multiplied by:
A. 1
B. 100
C. 1000
D. 10
Discuss
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Correct Answer: Option B

Explanation:
Percentage frequency = (class frequency / total frequency) × 100.
This question belongs to: Accountancy and Statistics Statistics
Question #355
The graph of a cumulative frequency distribution is called:
A. Pie chart
B. Frequency curve
C. Histogram
D. Ogive
Discuss
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Correct Answer: Option D

Explanation:
An ogive is a line graph that represents cumulative frequencies.
This question belongs to: Accountancy and Statistics Statistics
Question #356
A set of 9 numbers has mean 12. If a number 15 is removed, the new mean is:
A. 11.5
B. 13.0
C. 11.625
D. 12.0
Discuss
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Correct Answer: Option C

Explanation:
Sum initially = 9 × 12 = 108. After removing 15, sum = 93, n = 8. New mean = 93/8 = 11.625.
This question belongs to: Accountancy and Statistics Statistics
Question #357
The mean of 15 observations is 40. It was found that an observation 23 was wrongly recorded as 32. The correct mean is:
A. 38.5
B. 39.4
C. 41.2
D. 40.6
Discuss
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Correct Answer: Option B

Explanation:
Correct sum = 15 × 40 - 32 + 23 = 600 - 9 = 591. Correct mean = 591/15 = 39.4.
This question belongs to: Accountancy and Statistics Statistics
Question #358
For a dataset with values 2, 4, 8, 16, 32, the geometric mean is:
A. 10
B. 6
C. 8
D. 12
Discuss
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Correct Answer: Option C

Explanation:
Product = 32768. (32768)^(1/5) = 8 (since 8^5 = 32768).
This question belongs to: Accountancy and Statistics Statistics
Question #359
The geometric mean of a set of 5 positive observations is 6. Four of them are 3, 6, 4, and 9. The fifth observation is:
A. 12
B. 8
C. 18
D. 10
Discuss
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Correct Answer: Option A

Explanation:
G.M.^5 = 6^5 = 7776. Product of known four = 3*6*4*9 = 648. Fifth = 7776/648 = 12.
This question belongs to: Accountancy and Statistics Statistics
Question #360
The weighted harmonic mean of values 2 and 3 with weights 3 and 2 respectively is:
A. 2.4
B. 2.31
C. 2.8
D. 2.5
Discuss
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Correct Answer: Option B

Explanation:
Weighted HM = (Σw) / Σ(w/x) = 5 / (3/2 + 2/3) = 5 / (1.5 + 0.6667) = 5/2.1667 ≈ 2.3077.
This question belongs to: Accountancy and Statistics Statistics

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