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 47 of 66
Question #921
An ogive is used to determine:
A. Standard deviation
B. Mean
C. Median
D. Mode

Correct Answer: Option C


Explanation:
The median can be read from the ogive at the N/2 cumulative frequency.

This question belongs to: Accountancy and Statistics Statistics
Question #922
For a set of numbers, the sum of squared deviations from the arithmetic mean is 100 and n=10. The variance is:
A. 11.11
B. 10
C. 9
D. 1

Correct Answer: Option B


Explanation:
Population variance = 100/10 = 10. Sample variance would be 100/9≈11.11, but question likely assumes population. I'll specify 'if data is population', but not specified. I'll assume population for simplicity.

This question belongs to: Accountancy and Statistics Statistics
Question #923
If each value in a dataset is increased by 10, which of the following measures remains unchanged?
A. Median
B. First quartile
C. Range
D. Mean

Correct Answer: Option C


Explanation:
Range depends on difference between max and min; both increase by 10, so range unchanged.

This question belongs to: Accountancy and Statistics Statistics
Question #924
If P(A)=0.4, P(B)=0.5, and P(A∩B)=0.2, then P(A'∩B') is:
A. 0.3
B. 0.1
C. 0.7
D. 0.5

Correct Answer: Option A


Explanation:
P(A∪B)=0.4+0.5-0.2=0.7. P(A'∩B')=1-0.7=0.3.

This question belongs to: Accountancy and Statistics Statistics
Question #925
In a binomial distribution with n=4 and p=1/2, the probability of exactly 2 successes is:
A. 1/2
B. 1/4
C. 3/8
D. 1/16

Correct Answer: Option C


Explanation:
C(4,2)×(1/2)^2×(1/2)^2 = 6×1/4×1/4=6/16=3/8.

This question belongs to: Accountancy and Statistics Statistics
Question #926
Bayes' theorem combines prior probability and likelihood to give:
A. Posterior probability
B. Joint probability
C. Conditional probability of the evidence
D. Marginal probability

Correct Answer: Option A


Explanation:
It updates prior beliefs to posterior beliefs after observing evidence.

This question belongs to: Accountancy and Statistics Statistics
Question #927
If the probability of a student passing an exam is 0.8 and the probability of another student passing is 0.7, and these events are independent, the probability that at least one passes is:
A. 0.5
B. 0.94
C. 0.56
D. 1.5

Correct Answer: Option B


Explanation:
P(at least one) = 1 - P(both fail) = 1 - (0.2×0.3) = 1 - 0.06 = 0.94.

This question belongs to: Accountancy and Statistics Statistics
Question #928
In attribute theory, the term 'ultimate class frequencies' refers to:
A. Total frequency N
B. Frequencies of the fundamental disjoint classes like (AB), (Aβ), etc.
C. Frequencies of the original attributes only
D. Cumulative frequencies of classes

Correct Answer: Option B


Explanation:
Ultimate classes are the non-overlapping categories formed by combinations of attributes and their negations.

This question belongs to: Accountancy and Statistics Statistics
Question #929
For two attributes A and B, if (A)=80, (B)=70, N=100, and they are independent, then (AB) should be:
A. 50
B. 80
C. 70
D. 56

Correct Answer: Option D


Explanation:
Expected (AB) = (80×70)/100 = 56.

This question belongs to: Accountancy and Statistics Statistics
Question #930
Which of the following index numbers uses the weighted arithmetic mean of price relatives with base year value weights?
A. Fisher index
B. Paasche index
C. Laspeyres index
D. The Laspeyres index can be expressed as weighted arithmetic mean of price relatives with base period values as weights.

Correct Answer: Option D


Explanation:
Laspeyres = Σ (p₁/p₀) × w₀, where w₀ = p₀q₀ / Σp₀q₀. So it is a weighted arithmetic mean of relatives.

This question belongs to: Accountancy and Statistics Statistics
Question #931
The cost of living index number for 2022 with base 2015 is 150. This implies that a household which spent Rs. 10,000 per month in 2015 needs to spend ______ in 2022 to maintain the same standard of living.
A. Rs. 11,500
B. Rs. 10,000
C. Rs. 12,500
D. Rs. 15,000

Correct Answer: Option D


Explanation:
Cost of Living Index 150 means the cost has increased by 50%, so new cost = 10,000 × 1.5 = 15,000.

This question belongs to: Accountancy and Statistics Statistics
Question #932
Which of the following statements about the circular test is correct?
A. It requires that P₀₁ × P₁₀ = 1.
B. Fisher's ideal index satisfies it.
C. It is also known as the time reversal test.
D. The circular test is satisfied if P₀₁ × P₁₂ × P₂₀ = 1.

Correct Answer: Option D


Explanation:
Circular test checks consistency over multiple periods: the product of indices from 0 to 1, 1 to 2, and 2 back to 0 should equal 1. Time reversal is P₀₁×P₁₀=1.

This question belongs to: Accountancy and Statistics Statistics
Question #933
The wholesale price index in India is a:
A. Consumer price index
B. Index of industrial production
C. Cost of living index
D. Price index for goods traded at the wholesale level

Correct Answer: Option D


Explanation:
WPI measures wholesale price movements of goods.

This question belongs to: Accountancy and Statistics Statistics
Question #934
The 'replacement level fertility' is generally set at a TFR of about:
A. 3.0
B. 1.0
C. 2.1
D. 4.0

Correct Answer: Option C


Explanation:
A TFR of about 2.1 is needed to replace the population without migration in low mortality settings.

This question belongs to: Accountancy and Statistics Statistics
Question #935
If the infant mortality rate is high, life expectancy at birth is likely to be:
A. Unchanged
B. Low
C. High
D. Equal to IMR

Correct Answer: Option B


Explanation:
High infant deaths reduce average life expectancy.

This question belongs to: Accountancy and Statistics Statistics
Question #936
The maternal mortality ratio in India (SRS 2016-18) is:
A. 130 per 100,000
B. 200 per 100,000
C. 80 per 100,000
D. 113 per 100,000 live births

Correct Answer: Option D


Explanation:
MMR was 113 per 100,000 live births.

This question belongs to: Accountancy and Statistics Statistics
Question #937
Which of the following is a measure of morbidity?
A. Incidence rate of a disease
B. Life expectancy
C. Infant mortality rate
D. Crude death rate

Correct Answer: Option A


Explanation:
Morbidity measures illness or disease frequency, not mortality.

This question belongs to: Accountancy and Statistics Statistics
Question #938
A 'life table' provides estimates of:
A. Migration rates
B. Population density
C. Fertility rates only
D. Probability of dying at each age and life expectancy

Correct Answer: Option D


Explanation:
Life tables summarize age-specific mortality and survival.

This question belongs to: Accountancy and Statistics Statistics
Question #939
The population growth rate (r) in demography is the difference between:
A. TFR and NRR
B. IMR and MMR
C. CBR and CDR plus net migration rate
D. CBR and CDR only

Correct Answer: Option C


Explanation:
Growth rate includes natural increase (CBR-CDR) and net migration.

This question belongs to: Accountancy and Statistics Statistics
Question #940
Assertion (A): The median is a better measure of central tendency than the mean for ordinal data. Reason (R): The median is based on the rank order and is unaffected by the exact magnitude of differences. Choose the correct option:
A. A is true, R is false
B. Both A and R are true, and R is the correct explanation of A
C. Both A and R are true, but R is not the correct explanation of A
D. A is false, R is true

Correct Answer: Option B


Explanation:
For ordinal data, median uses rank, ignoring magnitude, thus it's appropriate. R explains why.

This question belongs to: Accountancy and Statistics Statistics

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