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.

1318
Total Questions

Practice Questions

Page 38 of 66
Question #741
In a random experiment, an event consisting of a single outcome is called:
A. Null event
B. Compound event
C. Simple event
D. Sure event
Discuss
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Correct Answer: Option C

Explanation:
An elementary or simple event contains exactly one sample point.
This question belongs to: Accountancy and Statistics Statistics
Question #742
If P(A) = 0.3, P(B) = 0.4, and A, B are mutually exclusive, then P(A∪B) is:
A. 0.12
B. 0.7
C. 0.5
D. 0.1
Discuss
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Correct Answer: Option B

Explanation:
Mutually exclusive → P(A∪B) = P(A) + P(B) = 0.3+0.4=0.7.
This question belongs to: Accountancy and Statistics Statistics
Question #743
For two independent events A and B, P(A)=0.2, P(B)=0.5. P(A∪B) is:
A. 0.7
B. 0.1
C. 0.6
D. 0.5
Discuss
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Correct Answer: Option C

Explanation:
P(A∪B) = 0.2+0.5 - (0.2×0.5) = 0.7 - 0.1 = 0.6.
This question belongs to: Accountancy and Statistics Statistics
Question #744
The concept of 'conditional probability' is needed when:
A. We want the probability of an event given that another event has already occurred
B. We sum probabilities
C. Events are mutually exclusive
D. Events are independent
Discuss
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Correct Answer: Option A

Explanation:
Conditional probability deals with the updated probability after knowing another event has occurred.
This question belongs to: Accountancy and Statistics Statistics
Question #745
A box has 2 red, 3 blue, 5 green balls. Probability of drawing a green ball is:
A. 2/5
B. 1/2
C. 5/10
D. 3/10
Discuss
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Correct Answer: Option C

Explanation:
Total balls = 10, green = 5, probability = 5/10 = 1/2. But option B says 5/10, which is the same. So B is correct.
This question belongs to: Accountancy and Statistics Statistics
Question #746
In a 2×2 contingency table for attributes, if (AB)=30, (Aβ)=20, (αB)=10, (αβ)=40, N is:
A. 100
B. 110
C. 90
D. 80
Discuss
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Correct Answer: Option A

Explanation:
N = 30+20+10+40 = 100.
This question belongs to: Accountancy and Statistics Statistics
Question #747
If (AB)=(A)(B)/N, the attributes are:
A. Independent
B. Positively associated
C. Complete association
D. Negatively associated
Discuss
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Correct Answer: Option A

Explanation:
That equation is the condition for independence of attributes.
This question belongs to: Accountancy and Statistics Statistics
Question #748
The data (A)=100, (AB)=120 is:
A. Inconsistent
B. Consistent
C. Independence
D. Complete association
Discuss
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Correct Answer: Option A

Explanation:
(AB) cannot exceed (A); thus data are inconsistent.
This question belongs to: Accountancy and Statistics Statistics
Question #749
The Laspeyres index is said to have an upward bias because it:
A. Uses current period quantities
B. Ignores substitution effect
C. Satisfies factor reversal
D. Uses geometric mean
Discuss
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Correct Answer: Option B

Explanation:
Using base period quantities, Laspeyres does not allow for substitution away from goods that have become relatively more expensive.
This question belongs to: Accountancy and Statistics Statistics
Question #750
WPI covers:
A. Goods only (primary, fuel, manufactured)
B. All goods and services
C. Services
D. Only agricultural goods
Discuss
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Correct Answer: Option A

Explanation:
WPI tracks price movements of goods at the wholesale level, excluding services.
This question belongs to: Accountancy and Statistics Statistics
Question #751
A census collects data on:
A. Only urban population
B. Sample of population
C. Entire population
D. Only literate population
Discuss
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Correct Answer: Option C

Explanation:
Census is a complete enumeration of all individuals in a country.
This question belongs to: Accountancy and Statistics Statistics
Question #752
The population pyramid of a developing country typically has:
A. Rectangular shape
B. Broad base and narrow top
C. Narrow base and wide top
D. Equal width throughout
Discuss
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Correct Answer: Option B

Explanation:
High fertility creates a broad base, while higher mortality at old ages narrows the top.
This question belongs to: Accountancy and Statistics Statistics
Question #753
If a population has a high infant mortality rate, its life expectancy at birth is likely:
A. High
B. Unaffected
C. Equal to fertility
D. Low
Discuss
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Correct Answer: Option D

Explanation:
High infant deaths reduce the average life expectancy.
This question belongs to: Accountancy and Statistics Statistics
Question #754
The main source of vital statistics in India is:
A. Census
B. National Sample Survey
C. Civil Registration System
D. Sample Registration System
Discuss
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Correct Answer: Option C

Explanation:
Civil registration system records births and deaths as they occur.
This question belongs to: Accountancy and Statistics Statistics
Question #755
A questionnaire is different from a schedule in that:
A. Questionnaire is self-administered by the respondent
B. There is no difference
C. Questionnaire is filled by the enumerator
D. Schedule is filled by the respondent
Discuss
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Correct Answer: Option A

Explanation:
A questionnaire is filled by the informant; a schedule by the enumerator.
This question belongs to: Accountancy and Statistics Statistics
Question #756
Which of the following is a characteristic of a good question in a questionnaire?
A. Asking personal questions first
B. Being double-barreled
C. Being clear and concise
D. Using ambiguous words
Discuss
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Correct Answer: Option C

Explanation:
Clarity and conciseness prevent confusion.
This question belongs to: Accountancy and Statistics Statistics
Question #757
Pilot survey helps in:
A. Identifying problems in questionnaire design
B. Final data analysis
C. Increasing sample size
D. Printing reports
Discuss
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Correct Answer: Option A

Explanation:
Pilot survey tests the questionnaire and survey procedures before the main survey.
This question belongs to: Accountancy and Statistics Statistics
Question #758
The class midpoint is also known as:
A. Class mark
B. Class limit
C. Class interval
D. Class frequency
Discuss
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Correct Answer: Option A

Explanation:
Class mark = (lower limit + upper limit)/2.
This question belongs to: Accountancy and Statistics Statistics
Question #759
The sum of frequencies of all classes in a distribution equals:
A. 100
B. Mean
C. Number of classes
D. Total number of observations
Discuss
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Correct Answer: Option D

Explanation:
Total frequency = N, the number of observations.
This question belongs to: Accountancy and Statistics Statistics
Question #760
For a perfectly symmetrical distribution, the mean, median, and mode are:
A. Different
B. Mode > Median > Mean
C. Mean > Median > Mode
D. Equal
Discuss
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Correct Answer: Option D

Explanation:
In a symmetric distribution, the measures of central tendency coincide.
This question belongs to: Accountancy and Statistics Statistics

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