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 #121
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The factor reversal test is satisfied by:
Correct Answer: Option C
Explanation:
Only Fisher's ideal index satisfies both the time reversal and factor reversal tests.
Only Fisher's ideal index satisfies both the time reversal and factor reversal tests.
This question belongs to:
Accountancy and Statistics
Statistics
Question #122
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The index that measures changes in retail prices for industrial workers is:
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.
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
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Base shifting of an index number series is done to:
Correct Answer: Option D
Explanation:
Base shifting allows comparison of index series by changing the reference period to a more relevant year.
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
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The geometric mean is most appropriate for averaging:
Correct Answer: Option B
Explanation:
Geometric mean is suitable for averaging ratios and percentage changes because it accounts for compounding.
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
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The harmonic mean is most appropriate for averaging:
Correct Answer: Option D
Explanation:
Harmonic mean is used for rates where the numerator is constant, such as average speed for fixed distances.
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
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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:
Correct Answer: Option D
Explanation:
Harmonic mean of speeds: 2 / (1/60 + 1/40) = 2 / (5/120) = 240/5 = 48 km/h.
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
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The combined mean of two groups is 55, with n₁=40, mean₁=50. If n₂=60, mean₂ is:
Correct Answer: Option B
Explanation:
55 = (40×50 + 60×x) / 100 → 2000 + 60x = 5500 → 60x = 3500 → x = 58.33.
55 = (40×50 + 60×x) / 100 → 2000 + 60x = 5500 → 60x = 3500 → x = 58.33.
This question belongs to:
Accountancy and Statistics
Statistics
Question #128
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If the mode is 24 and median is 25, the approximate arithmetic mean using empirical relation is:
Correct Answer: Option D
Explanation:
Mode = 3Median - 2Mean → 24 = 3×25 - 2Mean → 2Mean = 75 - 24 = 51 → Mean = 25.5.
Mode = 3Median - 2Mean → 24 = 3×25 - 2Mean → 2Mean = 75 - 24 = 51 → Mean = 25.5.
This question belongs to:
Accountancy and Statistics
Statistics
Question #129
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Which measure of central tendency is not affected by extreme values?
Correct Answer: Option C
Explanation:
The median depends only on the middle value(s) and is resistant to outliers.
The median depends only on the middle value(s) and is resistant to outliers.
This question belongs to:
Accountancy and Statistics
Statistics
Question #130
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The arithmetic mean of 10, 20, 30, 40, 50 is:
Correct Answer: Option C
Explanation:
Sum = 150, number = 5, mean = 150/5 = 30.
Sum = 150, number = 5, mean = 150/5 = 30.
This question belongs to:
Accountancy and Statistics
Statistics
Question #131
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The geometric mean of 2, 4, and 8 is:
Correct Answer: Option B
Explanation:
(2 × 4 × 8)^(1/3) = 64^(1/3) = 4.
(2 × 4 × 8)^(1/3) = 64^(1/3) = 4.
This question belongs to:
Accountancy and Statistics
Statistics
Question #132
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Weighted mean of values 10, 20, 30 with weights 3, 2, 1 respectively is:
Correct Answer: Option A
Explanation:
Weighted sum = 3×10+2×20+1×30 = 100. Sum of weights = 6. Mean = 100/6 = 16.67.
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
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In a mailed questionnaire method, the major disadvantage is:
Correct Answer: Option C
Explanation:
Mailed questionnaires often suffer from low response rates, leading to non-response bias.
Mailed questionnaires often suffer from low response rates, leading to non-response bias.
This question belongs to:
Accountancy and Statistics
Statistics
Question #134
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Which of the following is a principle of a good questionnaire?
Correct Answer: Option B
Explanation:
Simple and clear language reduces misunderstanding and improves response quality.
Simple and clear language reduces misunderstanding and improves response quality.
This question belongs to:
Accountancy and Statistics
Statistics
Question #135
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Pre-testing of a questionnaire refers to:
Correct Answer: Option C
Explanation:
Pre-test (pilot study) helps detect ambiguous questions and practical difficulties before the main survey.
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
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A schedule is generally preferred over a questionnaire when:
Correct Answer: Option A
Explanation:
Schedules filled by enumerators are ideal for illiterate respondents and ensure better data quality.
Schedules filled by enumerators are ideal for illiterate respondents and ensure better data quality.
This question belongs to:
Accountancy and Statistics
Statistics
Question #137
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Which of the following is a source of primary data?
Correct Answer: Option D
Explanation:
Data generated from one's own experiment is primary data; the others are secondary sources.
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
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Classification of data on the basis of attributes like gender or color is called:
Correct Answer: Option B
Explanation:
When data are grouped by descriptive characteristics (attributes), it is qualitative classification.
When data are grouped by descriptive characteristics (attributes), it is qualitative classification.
This question belongs to:
Accountancy and Statistics
Statistics
Question #139
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A frequency distribution with class intervals 0-5, 5-10, 10-15,... is an example of:
Correct Answer: Option C
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.
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
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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:
Correct Answer: Option D
Explanation:
This is the convention of exclusive classification: upper limit excluded from the interval.
This is the convention of exclusive classification: upper limit excluded from the interval.
This question belongs to:
Accountancy and Statistics
Statistics
