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 #161
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Direct standardization of death rates uses:
Correct Answer: Option B
Explanation:
Direct standardization applies the observed age-specific rates to a standard population distribution.
Direct standardization applies the observed age-specific rates to a standard population distribution.
This question belongs to:
Accountancy and Statistics
Statistics
Question #162
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Life expectancy at birth is calculated from a:
Correct Answer: Option A
Explanation:
Life expectancy is derived from a life table, which summarizes mortality rates at each age.
Life expectancy is derived from a life table, which summarizes mortality rates at each age.
This question belongs to:
Accountancy and Statistics
Statistics
Question #163
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Which of the following is NOT a measure of fertility?
Correct Answer: Option B
Explanation:
Infant mortality rate measures deaths of infants, not births; it is a mortality indicator.
Infant mortality rate measures deaths of infants, not births; it is a mortality indicator.
This question belongs to:
Accountancy and Statistics
Statistics
Question #164
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According to recent estimates (NFHS-5), the Total Fertility Rate (TFR) of India is around:
Correct Answer: Option C
Explanation:
NFHS-5 (2019-21) reported a TFR of 2.0 children per woman, reaching replacement level.
NFHS-5 (2019-21) reported a TFR of 2.0 children per woman, reaching replacement level.
This question belongs to:
Accountancy and Statistics
Statistics
Question #165
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Gross Reproduction Rate (GRR) considers only:
Correct Answer: Option C
Explanation:
GRR measures the average number of daughters a woman would bear in her reproductive life.
GRR measures the average number of daughters a woman would bear in her reproductive life.
This question belongs to:
Accountancy and Statistics
Statistics
Question #166
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If TFR = 3.0 and the proportion of female births is 0.49, GRR is:
Correct Answer: Option C
Explanation:
GRR = TFR × (female birth proportion) = 3.0 × 0.49 = 1.47 daughters per woman.
GRR = TFR × (female birth proportion) = 3.0 × 0.49 = 1.47 daughters per woman.
This question belongs to:
Accountancy and Statistics
Statistics
Question #167
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If Net Reproduction Rate (NRR) < 1, the population in the long run will:
Correct Answer: Option A
Explanation:
NRR below 1 indicates that each generation is not replacing itself, leading to eventual population decline.
NRR below 1 indicates that each generation is not replacing itself, leading to eventual population decline.
This question belongs to:
Accountancy and Statistics
Statistics
Question #168
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The sum of 50 observations is 500; the arithmetic mean is:
Correct Answer: Option D
Explanation:
Mean = 500 / 50 = 10.
Mean = 500 / 50 = 10.
This question belongs to:
Accountancy and Statistics
Statistics
Question #169
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In a distribution with extreme outliers, which measure of central tendency is most appropriate?
Correct Answer: Option D
Explanation:
The median is resistant to outliers and gives a better central value for skewed distributions.
The median is resistant to outliers and gives a better central value for skewed distributions.
This question belongs to:
Accountancy and Statistics
Statistics
Question #170
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For an open-end frequency distribution, a suitable measure of central tendency is:
Correct Answer: Option C
Explanation:
The median can be determined even if the extremes are open-ended, as long as the median class is closed.
The median can be determined even if the extremes are open-ended, as long as the median class is closed.
This question belongs to:
Accountancy and Statistics
Statistics
Question #171
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The harmonic mean of 1, 2, and 4 is:
Correct Answer: Option C
Explanation:
HM = 3 / (1 + 1/2 + 1/4) = 3 / 1.75 = 12/7.
HM = 3 / (1 + 1/2 + 1/4) = 3 / 1.75 = 12/7.
This question belongs to:
Accountancy and Statistics
Statistics
Question #172
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Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for positive numbers. Reason (R): Because geometric mean is a measure of central tendency.
Correct Answer: Option B
Explanation:
The inequality AM ≥ GM is a mathematical truth; the reason given does not explain why it holds.
The inequality AM ≥ GM is a mathematical truth; the reason given does not explain why it holds.
This question belongs to:
Accountancy and Statistics
Statistics
Question #173
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In Fisher's ideal index, which mean is used to combine Laspeyres and Paasche indices?
Correct Answer: Option B
Explanation:
Fisher's ideal index is the geometric mean of the Laspeyres and Paasche indices.
Fisher's ideal index is the geometric mean of the Laspeyres and Paasche indices.
This question belongs to:
Accountancy and Statistics
Statistics
Question #174
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The formula for weighted arithmetic mean is:
Correct Answer: Option D
Explanation:
Weighted mean = Σ(w_i x_i) / Σ w_i.
Weighted mean = Σ(w_i x_i) / Σ w_i.
This question belongs to:
Accountancy and Statistics
Statistics
Question #175
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Data collected from a published report of the World Bank is called:
Correct Answer: Option A
Explanation:
Published reports contain data already gathered by someone else, hence secondary data.
Published reports contain data already gathered by someone else, hence secondary data.
This question belongs to:
Accountancy and Statistics
Statistics
Question #176
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In tabulation, the title of a table should be placed:
Correct Answer: Option C
Explanation:
The title appears at the top of a table and describes its content.
The title appears at the top of a table and describes its content.
This question belongs to:
Accountancy and Statistics
Statistics
Question #177
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The 'stub' of a table refers to:
Correct Answer: Option B
Explanation:
The stub is the leftmost column containing the row captions or descriptions.
The stub is the leftmost column containing the row captions or descriptions.
This question belongs to:
Accountancy and Statistics
Statistics
Question #178
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In a frequency polygon, the points plotted are:
Correct Answer: Option A
Explanation:
A frequency polygon connects the midpoints of histogram bars at their respective frequencies.
A frequency polygon connects the midpoints of histogram bars at their respective frequencies.
This question belongs to:
Accountancy and Statistics
Statistics
Question #179
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An ogive is a graph of:
Correct Answer: Option A
Explanation:
A 'less than' ogive plots cumulative frequency against the upper class boundaries.
A 'less than' ogive plots cumulative frequency against the upper class boundaries.
This question belongs to:
Accountancy and Statistics
Statistics
Question #180
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The probability of obtaining a sum of 9 in a single throw of two dice is:
Correct Answer: Option B
Explanation:
Favorable outcomes: (3,6),(4,5),(5,4),(6,3) → 4. Probability = 4/36 = 1/9.
Favorable outcomes: (3,6),(4,5),(5,4),(6,3) → 4. Probability = 4/36 = 1/9.
This question belongs to:
Accountancy and Statistics
Statistics
