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

Page 7 of 66
Question #121
The factor reversal test is satisfied by:
A. Marshall-Edgeworth index
B. Paasche index
C. Laspeyres index
D. Fisher index
Discuss
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Correct Answer: Option D

Explanation:
Only Fisher's ideal index satisfies both the time reversal and factor reversal tests.
This question belongs to: Accountancy and Statistics Statistics
Question #122
The index that measures changes in retail prices for industrial workers is:
A. CPI-IW
B. WPI
C. GDP deflator
D. CPI-AL
Discuss
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Correct Answer: Option A

Explanation:
Consumer Price Index for Industrial Workers (CPI-IW) is designed to measure the cost of living for working-class families.
This question belongs to: Accountancy and Statistics Statistics
Question #123
Base shifting of an index number series is done to:
A. Change the base year to a more recent one
B. Convert chain base to fixed base
C. Calculate Fisher index
D. Adjust for quality changes
Discuss
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Correct Answer: Option A

Explanation:
Base shifting allows comparison of index series by changing the reference period to a more relevant year.
This question belongs to: Accountancy and Statistics Statistics
Question #124
The geometric mean is most appropriate for averaging:
A. Price ratios and growth rates
B. Income levels
C. Test scores
D. Heights
Discuss
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Correct Answer: Option A

Explanation:
Geometric mean is suitable for averaging ratios and percentage changes because it accounts for compounding.
This question belongs to: Accountancy and Statistics Statistics
Question #125
The harmonic mean is most appropriate for averaging:
A. Speeds when the distance is constant
B. Income
C. Growth rates
D. Ratings
Discuss
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Correct Answer: Option A

Explanation:
Harmonic mean is used for rates where the numerator is constant, such as average speed for fixed distances.
This question belongs to: Accountancy and Statistics Statistics
Question #126
A car travels 60 km/h for the first half of a distance and 40 km/h for the second half. The average speed (km/h) is:
A. 50
B. 48
C. 45
D. 52
Discuss
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Correct Answer: Option B

Explanation:
Harmonic mean of speeds: 2 / (1/60 + 1/40) = 2 / (5/120) = 240/5 = 48 km/h.
This question belongs to: Accountancy and Statistics Statistics
Question #127
The combined mean of two groups is 55, with n₁=40, mean₁=50. If n₂=60, mean₂ is:
A. 57.5
B. 59
C. 58.33
D. 60
Discuss
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Correct Answer: Option C

Explanation:
55 = (40×50 + 60×x) / 100 → 2000 + 60x = 5500 → 60x = 3500 → x = 58.33.
This question belongs to: Accountancy and Statistics Statistics
Question #128
If the mode is 24 and median is 25, the approximate arithmetic mean using empirical relation is:
A. 24.5
B. 25.5
C. 27
D. 26
Discuss
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Correct Answer: Option B

Explanation:
Mode = 3Median - 2Mean → 24 = 3×25 - 2Mean → 2Mean = 75 - 24 = 51 → Mean = 25.5.
This question belongs to: Accountancy and Statistics Statistics
Question #129
Which measure of central tendency is not affected by extreme values?
A. Arithmetic mean
B. Median
C. Geometric mean
D. Weighted mean
Discuss
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Correct Answer: Option B

Explanation:
The median depends only on the middle value(s) and is resistant to outliers.
This question belongs to: Accountancy and Statistics Statistics
Question #130
The arithmetic mean of 10, 20, 30, 40, 50 is:
A. 35
B. 30
C. 40
D. 25
Discuss
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Correct Answer: Option B

Explanation:
Sum = 150, number = 5, mean = 150/5 = 30.
This question belongs to: Accountancy and Statistics Statistics
Question #131
The geometric mean of 2, 4, and 8 is:
A. 3.76
B. 4
C. 4.67
D. 5.33
Discuss
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Correct Answer: Option B

Explanation:
(2 × 4 × 8)^(1/3) = 64^(1/3) = 4.
This question belongs to: Accountancy and Statistics Statistics
Question #132
Weighted mean of values 10, 20, 30 with weights 3, 2, 1 respectively is:
A. 18.33
B. 15
C. 16.67
D. 20
Discuss
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Correct Answer: Option C

Explanation:
Weighted sum = 3×10+2×20+1×30 = 100. Sum of weights = 6. Mean = 100/6 = 16.67.
This question belongs to: Accountancy and Statistics Statistics
Question #133
In a mailed questionnaire method, the major disadvantage is:
A. High response rate
B. Personal contact
C. Non-response bias
D. Low cost
Discuss
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Correct Answer: Option C

Explanation:
Mailed questionnaires often suffer from low response rates, leading to non-response bias.
This question belongs to: Accountancy and Statistics Statistics
Question #134
Which of the following is a principle of a good questionnaire?
A. Include leading questions
B. Use simple and clear language
C. Use double negatives for clarity
D. Ask two questions in one
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Correct Answer: Option B

Explanation:
Simple and clear language reduces misunderstanding and improves response quality.
This question belongs to: Accountancy and Statistics Statistics
Question #135
Pre-testing of a questionnaire refers to:
A. Printing the questionnaire
B. Analyzing pilot data
C. Trying out the questionnaire on a small group to identify problems
D. Administering the questionnaire to the actual sample
Discuss
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Correct Answer: Option C

Explanation:
Pre-test (pilot study) helps detect ambiguous questions and practical difficulties before the main survey.
This question belongs to: Accountancy and Statistics Statistics
Question #136
A schedule is generally preferred over a questionnaire when:
A. The topic is sensitive
B. Respondents are highly educated
C. The study area is large and funds are limited
D. Respondents are illiterate and data quality is crucial
Discuss
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Correct Answer: Option D

Explanation:
Schedules filled by enumerators are ideal for illiterate respondents and ensure better data quality.
This question belongs to: Accountancy and Statistics Statistics
Question #137
Which of the following is a source of primary data?
A. Journal article
B. Census data
C. Annual report of RBI
D. Data from an experiment designed by the investigator
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Correct Answer: Option D

Explanation:
Data generated from one's own experiment is primary data; the others are secondary sources.
This question belongs to: Accountancy and Statistics Statistics
Question #138
Classification of data on the basis of attributes like gender or color is called:
A. Quantitative classification
B. Geographical classification
C. Chronological classification
D. Qualitative classification
Discuss
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Correct Answer: Option D

Explanation:
When data are grouped by descriptive characteristics (attributes), it is qualitative classification.
This question belongs to: Accountancy and Statistics Statistics
Question #139
A frequency distribution with class intervals 0-5, 5-10, 10-15,... is an example of:
A. Open-end series
B. Exclusive series
C. Inclusive series
D. Cumulative series
Discuss
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Correct Answer: Option B

Explanation:
In an exclusive series, the upper limit of one class is the lower limit of the next, and an observation equal to the upper limit is placed in the next class.
This question belongs to: Accountancy and Statistics Statistics
Question #140
If a frequency distribution has class intervals 10-20, 20-30, 30-40 and a value 30 is placed in 30-40, the classification is:
A. Exclusive
B. Inclusive
C. Cumulative
D. Open-end
Discuss
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Correct Answer: Option A

Explanation:
This is the convention of exclusive classification: upper limit excluded from the interval.
This question belongs to: Accountancy and Statistics Statistics

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