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 52 of 66
Question #1021
A researcher wants to ensure every individual in a population has an equal chance of being selected. She should use:
A. Quota sampling
B. Purposive sampling
C. Snowball sampling
D. Simple random sampling
Discuss
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Correct Answer: Option D

Explanation:
Simple random sampling gives each member an equal probability of selection.
This question belongs to: Accountancy and Statistics Statistics
Question #1022
Which of the following is a measure of dispersion?
A. Geometric mean
B. Standard deviation
C. Median
D. Mode
Discuss
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Correct Answer: Option B

Explanation:
Standard deviation measures spread.
This question belongs to: Accountancy and Statistics Statistics
Question #1023
If the variance of a dataset is 16, the standard deviation is:
A. 8
B. 4
C. 256
D. 2
Discuss
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Correct Answer: Option B

Explanation:
SD = √variance = 4.
This question belongs to: Accountancy and Statistics Statistics
Question #1024
The coefficient of variation is useful for comparing:
A. Medians
B. Means of two groups
C. Variability of datasets with different units or means
D. Probabilities
Discuss
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Correct Answer: Option C

Explanation:
CV = (SD/Mean)×100 provides a relative measure of dispersion.
This question belongs to: Accountancy and Statistics Statistics
Question #1025
A random variable X has expected value E(X) = 5 and E(X²) = 29. The variance is:
A. 24
B. 5
C. 4
D. 2
Discuss
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Correct Answer: Option C

Explanation:
Var(X) = E(X²) - [E(X)]² = 29 - 25 = 4.
This question belongs to: Accountancy and Statistics Statistics
Question #1026
If two events are exhaustive, then:
A. A and B are independent
B. P(A∪B) = 1
C. P(A) = P(B)
D. P(A∩B) = 0
Discuss
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Correct Answer: Option B

Explanation:
Exhaustive events cover the entire sample space.
This question belongs to: Accountancy and Statistics Statistics
Question #1027
In Bayes' theorem, the term 'likelihood' refers to:
A. P(B)
B. P(B|A)
C. P(A|B)
D. P(A)
Discuss
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Correct Answer: Option B

Explanation:
Likelihood is the probability of the evidence given the hypothesis.
This question belongs to: Accountancy and Statistics Statistics
Question #1028
Which of the following is true about the median?
A. It can be computed for ordinal data.
B. It is always greater than the mean.
C. It is based on all observations.
D. It is affected by extreme values.
Discuss
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Correct Answer: Option A

Explanation:
Median requires only ranking, so it is suitable for ordinal data.
This question belongs to: Accountancy and Statistics Statistics
Question #1029
The mode is undefined when:
A. Data are continuous
B. Data are negative
C. There is one peak
D. All values appear equally frequently
Discuss
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Correct Answer: Option D

Explanation:
If no value repeats or all frequencies equal, there is no mode.
This question belongs to: Accountancy and Statistics Statistics
Question #1030
If a dataset has mean = 25 and median = 25, the distribution is likely:
A. Negatively skewed
B. Positively skewed
C. Cannot say
D. Symmetric
Discuss
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Correct Answer: Option D

Explanation:
Mean = Median suggests symmetry, but not guaranteed without mode; however, in many contexts it indicates symmetry.
This question belongs to: Accountancy and Statistics Statistics
Question #1031
The harmonic mean of 4 and 12 is:
A. 6
B. 16
C. 8
D. 3
Discuss
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Correct Answer: Option A

Explanation:
HM = 2 / (1/4 + 1/12) = 2 / (4/12) = 2 / (1/3) = 6.
This question belongs to: Accountancy and Statistics Statistics
Question #1032
Which of the following is not a measure of dispersion?
A. Variance
B. Mode
C. Range
D. Standard deviation
Discuss
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Correct Answer: Option B

Explanation:
Mode is a measure of central tendency.
This question belongs to: Accountancy and Statistics Statistics
Question #1033
If two events A and B are independent, the probability that both occur is 0.2 and P(A)=0.5, then P(B) is:
A. 0.1
B. 0.4
C. 0.5
D. 0.7
Discuss
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Correct Answer: Option B

Explanation:
P(A)P(B)=0.2 => 0.5×P(B)=0.2 => P(B)=0.4.
This question belongs to: Accountancy and Statistics Statistics
Question #1034
The probability that a leap year has 53 Mondays is:
A. 5/7
B. 3/7
C. 1/7
D. 2/7
Discuss
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Correct Answer: Option D

Explanation:
Leap year has 366 days = 52 weeks + 2 days. Favorable pairs with Monday: (Sun,Mon), (Mon,Tue) => 2/7.
This question belongs to: Accountancy and Statistics Statistics
Question #1035
A bag contains 3 red, 5 black balls. Two balls are drawn at random. The probability that they are of different colors is:
A. 15/28
B. 15/56
C. 1/2
D. 3/8
Discuss
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Correct Answer: Option A

Explanation:
Total ways C(8,2)=28. 1 red 1 black = 3×5=15. Probability=15/28.
This question belongs to: Accountancy and Statistics Statistics
Question #1036
In attributes, if (A)=70, (B)=50, (αβ)=10, and N=100, then (AB) is:
A. 40
B. 20
C. 10
D. 30
Discuss
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Correct Answer: Option D

Explanation:
(αβ)= N - (A) - (B) + (AB) ⇒ 10 = 100 -70 -50 + (AB) ⇒ (AB)=30.
This question belongs to: Accountancy and Statistics Statistics
Question #1037
Which of the following statements is true about the median?
A. It cannot be computed for grouped data.
B. It is the 50th percentile.
C. It is heavily influenced by outliers.
D. It is always unique.
Discuss
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Correct Answer: Option B

Explanation:
Median is the 50th percentile. It is unique for a given dataset (may be an interval for grouped). It can be computed for grouped data and is robust to outliers.
This question belongs to: Accountancy and Statistics Statistics
Question #1038
The cost of living index is used for:
A. Adjusting wages to maintain purchasing power
B. Calculating national income
C. Measuring industrial output
D. Measuring stock performance
Discuss
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Correct Answer: Option A

Explanation:
It tracks changes in the cost of a fixed basket, used for wage indexation.
This question belongs to: Accountancy and Statistics Statistics
Question #1039
The population policy of India emphasizes:
A. Delayed marriage and child spacing
B. Promoting migration
C. Decreasing female education
D. Increasing mortality
Discuss
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Correct Answer: Option A

Explanation:
National Population Policy promotes family planning, delayed marriage, and spacing.
This question belongs to: Accountancy and Statistics Statistics
Question #1040
If a population has a TFR of 2.0 and NRR of 0.9, this implies:
A. The population is at replacement level
B. Fertility is low, mortality is zero
C. Mortality among women of reproductive age is high enough to prevent replacement
D. The population is growing rapidly
Discuss
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Correct Answer: Option C

Explanation:
Even though TFR is near replacement, NRR
This question belongs to: Accountancy and Statistics Statistics

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