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 41 of 66
Question #801
The main purpose of classification is to:
A. Reduce the bulk of data and bring out similarities
B. Make data look attractive
C. Increase the volume of data
D. Remove all data
Discuss
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Correct Answer: Option A

Explanation:
Classification organizes data into homogeneous groups for analysis.
This question belongs to: Accountancy and Statistics Statistics
Question #802
In a frequency distribution, if the class marks are 5, 15, 25, 35, the class width is:
A. 15
B. 20
C. 5
D. 10
Discuss
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Correct Answer: Option D

Explanation:
Difference between successive class marks = 15-5 = 10, so width = 10.
This question belongs to: Accountancy and Statistics Statistics
Question #803
The median is the best measure of central tendency when:
A. Data are qualitative
B. Data have extreme outliers
C. All values are equal
D. Data are symmetric
Discuss
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Correct Answer: Option B

Explanation:
Median is robust to outliers, unlike mean.
This question belongs to: Accountancy and Statistics Statistics
Question #804
The arithmetic mean of first n natural numbers is:
A. n(n+1)/2
B. (n+1)/2
C. n/2
D. 2n+1
Discuss
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Correct Answer: Option B

Explanation:
Sum = n(n+1)/2, mean = (n+1)/2.
This question belongs to: Accountancy and Statistics Statistics
Question #805
If the mean of 10 numbers is 15, and one number is removed making the new mean 14, the removed number is:
A. 24
B. 14
C. 15
D. 20
Discuss
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Correct Answer: Option A

Explanation:
Sum initially 150, after removal sum=9×14=126, removed = 150-126=24.
This question belongs to: Accountancy and Statistics Statistics
Question #806
Two dice are rolled. The probability of getting a doublet (same number on both) is:
A. 1/36
B. 5/36
C. 1/6
D. 1/12
Discuss
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Correct Answer: Option C

Explanation:
Doublets: (1,1),(2,2),...,(6,6) = 6 out of 36 = 1/6.
This question belongs to: Accountancy and Statistics Statistics
Question #807
If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A∪B) is:
A. 0.5
B. 0.7
C. 0.2
D. 0.9
Discuss
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Correct Answer: Option B

Explanation:
0.4+0.5 - (0.4×0.5)=0.9-0.2=0.7.
This question belongs to: Accountancy and Statistics Statistics
Question #808
In attribute theory, the consistency condition (αB) ≥ 0 is always true because:
A. Frequencies cannot be negative
B. It is an assumption
C. It depends on N
D. It is a hypothesis
Discuss
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Correct Answer: Option A

Explanation:
Frequencies must be non-negative by definition.
This question belongs to: Accountancy and Statistics Statistics
Question #809
If N=100, (A)=50, (B)=40, and (αβ)=30, then (AB) is:
A. 10
B. 30
C. 20
D. 40
Discuss
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Correct Answer: Option C

Explanation:
(αβ)= N - (A) - (B) + (AB) → 30 = 100-50-40 + (AB) → (AB)=20.
This question belongs to: Accountancy and Statistics Statistics
Question #810
The Paasche price index uses weights of:
A. Both base and current
B. Current period quantities
C. Fixed quantities
D. Base period quantities
Discuss
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Correct Answer: Option B

Explanation:
Paasche = Σp₁q₁ / Σp₀q₁ × 100, using current quantities.
This question belongs to: Accountancy and Statistics Statistics
Question #811
The index that is most widely used to measure changes in the cost of living is:
A. CPI
B. GDP deflator
C. Sensex
D. WPI
Discuss
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Correct Answer: Option A

Explanation:
Consumer Price Index measures retail price changes and reflects cost of living.
This question belongs to: Accountancy and Statistics Statistics
Question #812
A population pyramid with a broad base indicates:
A. High birth rate
B. High life expectancy
C. Low birth rate
D. Low infant mortality
Discuss
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Correct Answer: Option A

Explanation:
Broad base results from a large number of births.
This question belongs to: Accountancy and Statistics Statistics
Question #813
Crude Death Rate of 8 per 1000 means:
A. 8% of population died
B. 8 deaths per 1000 population in a year
C. 8 deaths per 1000 live births
D. 8 deaths per 1000 women
Discuss
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Correct Answer: Option B

Explanation:
CDR = (Deaths/Mid-year population)×1000.
This question belongs to: Accountancy and Statistics Statistics
Question #814
TFR is considered a better measure of fertility than CBR because it:
A. Is simpler
B. Includes male population
C. Uses total population
D. Eliminates the effect of age structure
Discuss
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Correct Answer: Option D

Explanation:
TFR is a synthetic measure that is independent of the population's age composition.
This question belongs to: Accountancy and Statistics Statistics
Question #815
If a woman gave birth to a child at age 30, the birth is counted in ASFR for age group:
A. 30-34
B. 20-24
C. 35-39
D. 25-29
Discuss
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Correct Answer: Option A

Explanation:
Age 30 falls in the 30-34 age group.
This question belongs to: Accountancy and Statistics Statistics
Question #816
Which of the following is a direct method of collecting primary data?
A. Reviewing literature
B. Referring to old records
C. Observation method
D. Using internet databases
Discuss
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Correct Answer: Option C

Explanation:
Observation involves directly watching and recording behaviors.
This question belongs to: Accountancy and Statistics Statistics
Question #817
The number of classes in a frequency distribution is determined by:
A. Range of data and number of observations
B. Median only
C. Mean of data
D. Mode only
Discuss
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Correct Answer: Option A

Explanation:
Class intervals are chosen based on the spread and size of data.
This question belongs to: Accountancy and Statistics Statistics
Question #818
The sum of absolute deviations from the median is:
A. Equal to variance
B. Maximum
C. Minimum
D. Zero
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Correct Answer: Option C

Explanation:
Median minimizes the sum of absolute deviations.
This question belongs to: Accountancy and Statistics Statistics
Question #819
A coin is tossed twice. The probability of getting at least one head is:
A. 1
B. 1/4
C. 3/4
D. 1/2
Discuss
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Correct Answer: Option C

Explanation:
All outcomes except TT (1/4). So 1 - 1/4 = 3/4.
This question belongs to: Accountancy and Statistics Statistics
Question #820
For two attributes, if (AB)=20, (Aβ)=30, (αB)=10, (αβ)=40, then N is:
A. 90
B. 110
C. 80
D. 100
Discuss
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Correct Answer: Option D

Explanation:
N = 20+30+10+40 = 100.
This question belongs to: Accountancy and Statistics Statistics

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