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 #201
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The mode of the dataset 2, 3, 5, 5, 7, 7, 7, 9 is:
Correct Answer: Option B
Explanation:
7 appears three times, more than any other value, so mode = 7.
7 appears three times, more than any other value, so mode = 7.
This question belongs to:
Accountancy and Statistics
Statistics
Question #202
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For a moderately skewed distribution, the difference between mean and mode is approximately:
Correct Answer: Option C
Explanation:
From empirical relation: Mean - Mode ≈ 3(Mean - Median).
From empirical relation: Mean - Mode ≈ 3(Mean - Median).
This question belongs to:
Accountancy and Statistics
Statistics
Question #203
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The arithmetic mean of the first five natural numbers is:
Correct Answer: Option C
Explanation:
(1+2+3+4+5)/5 = 15/5 = 3.
(1+2+3+4+5)/5 = 15/5 = 3.
This question belongs to:
Accountancy and Statistics
Statistics
Question #204
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If each of 20 values is increased by 10, the arithmetic mean will:
Correct Answer: Option C
Explanation:
Adding a constant to all observations increases the mean by the same constant.
Adding a constant to all observations increases the mean by the same constant.
This question belongs to:
Accountancy and Statistics
Statistics
Question #205
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The harmonic mean is the reciprocal of the arithmetic mean of:
Correct Answer: Option B
Explanation:
HM = 1 / [ (1/n) Σ (1/x_i) ].
HM = 1 / [ (1/n) Σ (1/x_i) ].
This question belongs to:
Accountancy and Statistics
Statistics
Question #206
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The enumerator method of data collection is also known as:
Correct Answer: Option C
Explanation:
In the schedule method, enumerators fill in the forms by interviewing respondents.
In the schedule method, enumerators fill in the forms by interviewing respondents.
This question belongs to:
Accountancy and Statistics
Statistics
Question #207
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Which of the following is a limitation of the questionnaire method?
Correct Answer: Option D
Explanation:
Questionnaires, especially mailed ones, often suffer from poor response rates, leading to bias.
Questionnaires, especially mailed ones, often suffer from poor response rates, leading to bias.
This question belongs to:
Accountancy and Statistics
Statistics
Question #208
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In the schedule method, the presence of the enumerator helps in:
Correct Answer: Option B
Explanation:
The enumerator can probe, clarify, and ensure all questions are answered, improving data quality.
The enumerator can probe, clarify, and ensure all questions are answered, improving data quality.
This question belongs to:
Accountancy and Statistics
Statistics
Question #209
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Primary data is collected:
Correct Answer: Option C
Explanation:
Primary data is original data gathered directly by the researcher for the current study.
Primary data is original data gathered directly by the researcher for the current study.
This question belongs to:
Accountancy and Statistics
Statistics
Question #210
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For inclusive class intervals like 10-19, 20-29, the true class boundaries are obtained by:
Correct Answer: Option B
Explanation:
Inclusive series have gaps; adjusting by half the gap (0.5) gives continuous boundaries: 9.5-19.5, 19.5-29.5, etc.
Inclusive series have gaps; adjusting by half the gap (0.5) gives continuous boundaries: 9.5-19.5, 19.5-29.5, etc.
This question belongs to:
Accountancy and Statistics
Statistics
Question #211
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A cumulative frequency distribution shows the number of observations:
Correct Answer: Option B
Explanation:
Cumulative frequencies sum frequencies up to a certain point (less than type) or from a point (more than type).
Cumulative frequencies sum frequencies up to a certain point (less than type) or from a point (more than type).
This question belongs to:
Accountancy and Statistics
Statistics
Question #212
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Sturges' rule for the number of classes k is:
Correct Answer: Option A
Explanation:
The formula k = 1 + 3.322 log₁₀ N gives an approximate optimal number of classes.
The formula k = 1 + 3.322 log₁₀ N gives an approximate optimal number of classes.
This question belongs to:
Accountancy and Statistics
Statistics
Question #213
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The probability that a randomly selected leap year contains 53 Sundays is:
Correct Answer: Option D
Explanation:
Leap year has 366 days = 52 weeks + 2 days. The 2 days can be Sun-Mon or Sat-Sun (2 out of 7 pairs), giving 2/7.
Leap year has 366 days = 52 weeks + 2 days. The 2 days can be Sun-Mon or Sat-Sun (2 out of 7 pairs), giving 2/7.
This question belongs to:
Accountancy and Statistics
Statistics
Question #214
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Three dice are rolled. The probability of getting a sum of 5 is:
Correct Answer: Option A
Explanation:
Combinations: (1,1,3) and (1,2,2) each with 3 permutations, total 6 favorable. 6/216 = 1/36.
Combinations: (1,1,3) and (1,2,2) each with 3 permutations, total 6 favorable. 6/216 = 1/36.
This question belongs to:
Accountancy and Statistics
Statistics
Question #215
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A random variable X takes values 0,1,2 with probabilities 0.3,0.5,0.2. The expected value E(X) is:
Correct Answer: Option B
Explanation:
E(X) = 0×0.3 + 1×0.5 + 2×0.2 = 0 + 0.5 + 0.4 = 0.9.
E(X) = 0×0.3 + 1×0.5 + 2×0.2 = 0 + 0.5 + 0.4 = 0.9.
This question belongs to:
Accountancy and Statistics
Statistics
Question #216
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General Fertility Rate (GFR) is a better measure than Crude Birth Rate because:
Correct Answer: Option A
Explanation:
CBR uses total population, which includes males and children, while GFR targets the actual childbearing population.
CBR uses total population, which includes males and children, while GFR targets the actual childbearing population.
This question belongs to:
Accountancy and Statistics
Statistics
Question #217
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If the number of women aged 15-49 is 20,000 and live births are 500, GFR per 1000 women is:
Correct Answer: Option B
Explanation:
GFR = (500 / 20000) × 1000 = 25 per 1000 women.
GFR = (500 / 20000) × 1000 = 25 per 1000 women.
This question belongs to:
Accountancy and Statistics
Statistics
Question #218
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The key difference between GRR and NRR is that NRR accounts for:
Correct Answer: Option A
Explanation:
NRR adjusts for the survival of women through reproductive ages, while GRR ignores mortality.
NRR adjusts for the survival of women through reproductive ages, while GRR ignores mortality.
This question belongs to:
Accountancy and Statistics
Statistics
Question #219
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If the crude death rate of population A is higher than B, but after age-standardization A's rate is lower, this indicates:
Correct Answer: Option B
Explanation:
When an older population produces a higher crude rate despite lower age-specific rates, it is due to age confounding.
When an older population produces a higher crude rate despite lower age-specific rates, it is due to age confounding.
This question belongs to:
Accountancy and Statistics
Statistics
Question #220
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Which of the following is a measure of mortality?
Correct Answer: Option D
Explanation:
Maternal Mortality Ratio quantifies deaths related to pregnancy and childbirth, a mortality indicator.
Maternal Mortality Ratio quantifies deaths related to pregnancy and childbirth, a mortality indicator.
This question belongs to:
Accountancy and Statistics
Statistics
