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 60 of 66
Question #1181
Which index number test checks if P₀₁ × P₁₂ × P₂₀ = 1?
A. Unit test
B. Time reversal test
C. Factor reversal test
D. Circular test
Discuss
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Correct Answer: Option D

Explanation:
The circular test verifies consistency across three periods: the product of indices linking 0→1, 1→2, and 2→0 should equal 1 (or 100³ in percentage terms), ensuring transitivity in comparisons.
This question belongs to: Accountancy and Statistics Statistics
Question #1182
The primary source of vital statistics in most countries is:
A. Census reports
B. Hospital records only
C. National sample surveys
D. Civil registration systems
Discuss
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Correct Answer: Option D

Explanation:
Civil registration systems continuously record vital events (births, deaths, marriages) at the local level, providing the most timely and comprehensive source for vital statistics when well-functioning.
This question belongs to: Accountancy and Statistics Statistics
Question #1183
General Fertility Rate (GFR) is expressed per:
A. 10,000 total population
B. 1,000 live births
C. 1,000 women aged 15-49 years
D. 100 women
Discuss
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Correct Answer: Option C

Explanation:
GFR = (Live births in a year / Mid-year population of women aged 15-49) × 1,000, standardizing fertility measurement to the population at risk of childbearing.
This question belongs to: Accountancy and Statistics Statistics
Question #1184
If the Neonatal Mortality Rate is 25 per 1,000 live births, this means:
A. 25 out of every 1,000 newborns die within the first 28 days
B. Life expectancy is 25 years
C. 25% of infants die before age 1
D. 25 mothers die per 1,000 births
Discuss
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Correct Answer: Option A

Explanation:
NMR of 25 indicates that for every 1,000 live births, 25 infants die before reaching 28 days of age, highlighting risks in the immediate postnatal period.
This question belongs to: Accountancy and Statistics Statistics
Question #1185
Standardized Death Rate allows comparison by:
A. Focusing only on infant deaths
B. Using the same crude death rate formula for all populations
C. Applying age-specific rates to a common standard population
D. Ignoring age structure entirely
Discuss
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Correct Answer: Option C

Explanation:
SDR eliminates age structure effects by calculating what the death rate would be if the population had the age distribution of a standard population, enabling unbiased mortality comparisons.
This question belongs to: Accountancy and Statistics Statistics
Question #1186
Which sampling method is MOST appropriate for collecting primary data from a heterogeneous population with distinct subgroups?
A. Convenience sampling
B. Stratified random sampling
C. Simple random sampling
D. Snowball sampling
Discuss
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Correct Answer: Option B

Explanation:
Stratified sampling divides the population into homogeneous subgroups (strata) and samples from each, ensuring representation of all key segments and improving precision for subgroup analysis.
This question belongs to: Accountancy and Statistics Statistics
Question #1187
In questionnaire design, a 'double-barreled question' is problematic because it:
A. Requires numerical answers
B. Asks about two different issues in one question, confusing respondents
C. Is too long for respondents to read
D. Uses technical jargon
Discuss
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Correct Answer: Option B

Explanation:
Double-barreled questions (e.g., 'Do you find the product affordable and high-quality?') conflate two attributes, making responses ambiguous and uninterpretable for either dimension.
This question belongs to: Accountancy and Statistics Statistics
Question #1188
Tabulation should ideally present data in a way that:
A. Includes all raw data points
B. Uses complex statistical jargon in headings
C. Facilitates comparison and highlights key patterns
D. Maximizes the number of decimal places
Discuss
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Correct Answer: Option C

Explanation:
Effective tabulation organizes data clearly with appropriate headings, totals, and formatting to enable easy comparison, trend identification, and accurate interpretation by users.
This question belongs to: Accountancy and Statistics Statistics
Question #1189
For a continuous variable, the most appropriate classification is:
A. Quantitative classification with exclusive class intervals
B. Spatial classification only
C. Qualitative classification
D. Chronological classification only
Discuss
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Correct Answer: Option A

Explanation:
Continuous variables (e.g., height, income) require quantitative classification using exclusive class intervals to avoid overlap and ensure each observation falls into exactly one class.
This question belongs to: Accountancy and Statistics Statistics
Question #1190
The mode can be located graphically using a:
A. Ogive
B. Histogram
C. Frequency polygon
D. Pie chart
Discuss
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Correct Answer: Option B

Explanation:
In a histogram, the mode corresponds to the highest bar (modal class); for grouped data, the exact mode can be interpolated within this class using the histogram's geometry.
This question belongs to: Accountancy and Statistics Statistics
Question #1191
If the geometric mean of two numbers is 12 and one number is 18, the other number is:
A. 9
B. 10
C. 6
D. 8
Discuss
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Correct Answer: Option D

Explanation:
Geometric mean = √(x×y). Given √(18×y)=12, square both sides: 18y=144, so y=144/18=8. This uses the definition of geometric mean for two values.
This question belongs to: Accountancy and Statistics Statistics
Question #1192
The weighted harmonic mean is appropriate for averaging:
A. Ratios where the denominators are the weights
B. Test scores with equal importance
C. Prices when quantities purchased are the weights
D. Speeds when distances traveled at each speed are equal
Discuss
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Correct Answer: Option A

Explanation:
Weighted harmonic mean = Σw / Σ(w/x), ideal for averaging rates or ratios (e.g., price per unit) when the weights correspond to the denominators (e.g., quantities), ensuring correct aggregation.
This question belongs to: Accountancy and Statistics Statistics
Question #1193
In probability, the sample space for rolling a single die is:
A. {1, 2, 3, 4, 5}
B. {1, 2, 3, 4, 5, 6}
C. {even, odd}
D. {prime, composite}
Discuss
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Correct Answer: Option B

Explanation:
The sample space lists all possible elementary outcomes; for a standard six-sided die, these are the integers 1 through 6, each equally likely in a fair roll.
This question belongs to: Accountancy and Statistics Statistics
Question #1194
If P(A) = 0.3, P(B) = 0.4, and A and B are independent, P(A ∪ B) is:
A. 0.58
B. 0.12
C. 0.70
D. 0.82
Discuss
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Correct Answer: Option A

Explanation:
For independent events, P(A∩B)=P(A)P(B)=0.3×0.4=0.12. Then P(A∪B)=P(A)+P(B)-P(A∩B)=0.3+0.4-0.12=0.58, applying the addition theorem with the independence condition.
This question belongs to: Accountancy and Statistics Statistics
Question #1195
Bayes' theorem is expressed as P(A|B) = [P(B|A) × P(A)] / P(B). Here, P(A) is called the:
A. Posterior probability
B. Prior probability
C. Likelihood
D. Marginal probability
Discuss
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Correct Answer: Option B

Explanation:
In Bayesian inference, P(A) is the prior probability, representing initial belief about hypothesis A before observing evidence B; P(A|B) is the updated posterior probability.
This question belongs to: Accountancy and Statistics Statistics
Question #1196
A box has 4 red, 3 blue, and 3 green balls. If two balls are drawn with replacement, the probability both are red is:
A. 16/100
B. 9/100
C. 12/100
D. 4/100
Discuss
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Correct Answer: Option A

Explanation:
With replacement, P(red) = 4/10 = 0.4 each draw. P(both red) = 0.4 × 0.4 = 0.16 = 16/100. Replacement ensures independence between draws.
This question belongs to: Accountancy and Statistics Statistics
Question #1197
In a 2×2 contingency table for attributes A and B, the frequency of (Aβ) represents units that:
A. Do not possess A but possess B
B. Possess neither A nor B
C. Possess A and B
D. Possess A but not B
Discuss
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Correct Answer: Option D

Explanation:
Standard notation: A = presence of attribute A, β = absence of attribute B. Thus, (Aβ) denotes units with attribute A present and attribute B absent.
This question belongs to: Accountancy and Statistics Statistics
Question #1198
If Yule's coefficient Q = 0 for attributes A and B, this indicates:
A. Perfect positive association
B. No association (independence)
C. Data inconsistency
D. Perfect negative association
Discuss
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Correct Answer: Option B

Explanation:
Yule's Q = 0 when (AB)(αβ) = (Aβ)(αB), which is the condition for statistical independence between attributes A and B in a 2×2 table.
This question belongs to: Accountancy and Statistics Statistics
Question #1199
The factor reversal test requires that:
A. Index numbers are unitless
B. P₀₁ × P₁₂ = P₀₂
C. P₀₁ × P₁₀ = 1
D. Price index × Quantity index = Value index
Discuss
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Correct Answer: Option D

Explanation:
Factor reversal test checks if the product of a price index and its corresponding quantity index equals the value index (Σp₁q₁/Σp₀q₀), ensuring consistency between price and quantity measurements.
This question belongs to: Accountancy and Statistics Statistics
Question #1200
Consumer Price Index for Industrial Workers (CPI-IW) in India is primarily used for:
A. Calculating GDP deflator
B. Revising dearness allowance for government employees
C. Setting export subsidies
D. Adjusting wholesale trade contracts
Discuss
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Correct Answer: Option B

Explanation:
CPI-IW tracks price changes for a basket consumed by industrial workers and is the key index used by the Indian government to adjust dearness allowance (DA) for central government employees and pensioners.
This question belongs to: Accountancy and Statistics Statistics

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