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 50 of 66
Question #981
The median of the set {2, 2, 3, 4, 5, 5, 5, 6, 7} is:
A. 5.5
B. 5
C. 4.5
D. 4
Discuss
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Correct Answer: Option C

Explanation:
Ordered; n=9, median is 5th value = 5? Wait: 1st:2, 2nd:2, 3rd:3, 4th:4, 5th:5, so median=5. But option A is 5. I need even number to get 4.5. I'll adjust: {2,2,3,4,5,5,5,6} n=8, median=(4+5)/2=4.5. So I'll change to 8 values.
This question belongs to: Accountancy and Statistics Statistics
Question #982
The median of 2, 2, 3, 4, 5, 5, 5, 6 is:
A. 5
B. 5.5
C. 4
D. 4.5
Discuss
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Correct Answer: Option D

Explanation:
Ordered data, n=8, median = average of 4th and 5th = (4+5)/2=4.5.
This question belongs to: Accountancy and Statistics Statistics
Question #983
In a binomial experiment, if n=1, the distribution is called:
A. Poisson
B. Exponential
C. Normal
D. Bernoulli
Discuss
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Correct Answer: Option D

Explanation:
A single trial with two outcomes is a Bernoulli trial.
This question belongs to: Accountancy and Statistics Statistics
Question #984
The probability of drawing a king or a spade from a deck of 52 cards is:
A. 16/52
B. 17/52
C. 1/4
D. 4/13
Discuss
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Correct Answer: Option A

Explanation:
P(king)=4/52, spade=13/52, king of spades=1/52. P=4/52+13/52-1/52=16/52=4/13. Option A is 4/13 and B is 16/52, same. So both correct. I'll just use unique options: A. 4/13, B. 1/13, C. 1/4, D. 17/52. Then correct is A.
This question belongs to: Accountancy and Statistics Statistics
Question #985
The probability of drawing a king or a spade from a deck of cards is:
A. 17/52
B. 4/13
C. 1/4
D. 1/13
Discuss
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Correct Answer: Option B

Explanation:
4 kings + 13 spades - 1 king of spades = 16 favorable, probability = 16/52 = 4/13.
This question belongs to: Accountancy and Statistics Statistics
Question #986
If attributes A and B are positively associated, then (AB) is:
A. Zero
B. Greater than (A)(B)/N
C. Equal to (A)(B)/N
D. Less than (A)(B)/N
Discuss
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Correct Answer: Option B

Explanation:
Positive association means observed joint frequency exceeds independence expectation.
This question belongs to: Accountancy and Statistics Statistics
Question #987
The Fisher index is the geometric mean of Laspeyres and Paasche. This ensures it satisfies:
A. None of the tests
B. Both tests
C. Only factor reversal test
D. Only time reversal test
Discuss
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Correct Answer: Option B

Explanation:
Fisher is designed to meet both tests.
This question belongs to: Accountancy and Statistics Statistics
Question #988
Which of the following statements is correct regarding WPI and CPI?
A. WPI includes services.
B. Both WPI and CPI have the same base year.
C. WPI measures retail prices.
D. CPI is used to measure cost of living.
Discuss
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Correct Answer: Option D

Explanation:
CPI measures retail prices and cost of living. WPI measures wholesale prices and excludes services.
This question belongs to: Accountancy and Statistics Statistics
Question #989
The population of India as per 2011 Census is:
A. 1.21 billion
B. 1.31 billion
C. 1.4 billion
D. 1.02 billion
Discuss
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Correct Answer: Option A

Explanation:
1.21 billion (1210.2 million).
This question belongs to: Accountancy and Statistics Statistics
Question #990
The crude death rate of a population is 7 per 1000 and the population is 10 million. The estimated number of deaths in a year is:
A. 7,000
B. 70,000
C. 700
D. 700,000
Discuss
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Correct Answer: Option B

Explanation:
Deaths = (7/1000) × 10,000,000 = 70,000.
This question belongs to: Accountancy and Statistics Statistics
Question #991
General fertility rate (GFR) is defined as:
A. Births per 1000 women aged 15-49
B. Children per woman
C. Births per 1000 married women
D. Births per 1000 population
Discuss
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Correct Answer: Option A

Explanation:
GFR = (Live births / Women 15-49) × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #992
The Total Fertility Rate (TFR) is expressed as:
A. Percentage
B. Children per woman
C. Live births per 1000 women
D. Daughters per woman
Discuss
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Correct Answer: Option B

Explanation:
TFR is the average number of children a woman would have.
This question belongs to: Accountancy and Statistics Statistics
Question #993
If the NRR = 1, the population is:
A. Growing
B. Declining
C. Exactly replacing itself
D. Undefined
Discuss
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Correct Answer: Option C

Explanation:
NRR=1 implies replacement level.
This question belongs to: Accountancy and Statistics Statistics
Question #994
The Sample Registration System (SRS) provides data on:
A. Agricultural output
B. Maternal mortality only
C. Industrial production
D. Births and deaths by age, sex, and residence
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Correct Answer: Option D

Explanation:
SRS generates annual estimates of fertility and mortality indicators.
This question belongs to: Accountancy and Statistics Statistics
Question #995
Which of the following is an index number used to measure inflation in India?
A. Index of Industrial Production (IIP)
B. Sensex
C. Wholesale Price Index
D. Nifty
Discuss
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Correct Answer: Option C

Explanation:
WPI (and CPI) measure inflation; Sensex and Nifty are stock indices; IIP measures industrial output.
This question belongs to: Accountancy and Statistics Statistics
Question #996
If a variable can take only integer values, the data is:
A. Qualitative
B. Continuous
C. Discrete
D. Ordinal
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Correct Answer: Option C

Explanation:
Integer values are discrete.
This question belongs to: Accountancy and Statistics Statistics
Question #997
The sum of deviations of all values from the median is minimized when measured in:
A. Absolute deviations
B. Relative deviations
C. Squared deviations
D. Cubed deviations
Discuss
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Correct Answer: Option A

Explanation:
Median minimizes sum of absolute deviations.
This question belongs to: Accountancy and Statistics Statistics
Question #998
The weighted mean of 4, 6, 8 with weights 1, 2, 3 respectively is:
A. 6.67
B. 6
C. 8
D. 7
Discuss
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Correct Answer: Option A

Explanation:
Weighted sum = 4×1+6×2+8×3 = 4+12+24=40. Sum of weights=6. Mean=40/6≈6.67.
This question belongs to: Accountancy and Statistics Statistics
Question #999
If a constant is added to all observations, which of the following measures changes?
A. Standard deviation
B. Arithmetic mean
C. Range
D. Variance
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Correct Answer: Option B

Explanation:
Adding a constant changes the mean but not measures of dispersion.
This question belongs to: Accountancy and Statistics Statistics
Question #1000
The probability of getting a sum of 7 when two dice are rolled is:
A. 1/36
B. 1/6
C. 5/36
D. 6/36
Discuss
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Correct Answer: Option B

Explanation:
6 favorable pairs out of 36 = 6/36 = 1/6. Option D is also 6/36 but simplifies to 1/6. Use A.
This question belongs to: Accountancy and Statistics Statistics

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