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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Practice Questions

Page 53 of 66
Question #1041
The infant mortality rate in Kerala is lower than in Madhya Pradesh primarily due to:
A. Larger population
B. Better healthcare and higher female literacy
C. Higher income
D. Higher fertility

Correct Answer: Option B


Explanation:
Kerala's good health infrastructure and high literacy contribute to low IMR.

This question belongs to: Accountancy and Statistics Statistics
Question #1042
The crude birth rate and crude death rate of a country are 18 and 6 per 1000. The rate of natural increase is:
A. 1.2%
B. 12 per 1000
C. 3%
D. 0.6%

Correct Answer: Option B


Explanation:
RNI = 18-6 = 12 per 1000.

This question belongs to: Accountancy and Statistics Statistics
Question #1043
Which of the following is a characteristic of a good index number?
A. It should be biased.
B. It should use only current year weights.
C. It should satisfy the circular test.
D. It should not be based on a basket of items.

Correct Answer: Option C


Explanation:
Desirable properties include satisfying tests like time reversal, factor reversal, circular.

This question belongs to: Accountancy and Statistics Statistics
Question #1044
In a life table, the column Lx represents:
A. Number of survivors at age x
B. Number of person-years lived between age x and x+n
C. Number of deaths at age x
D. Probability of dying

Correct Answer: Option B


Explanation:
Lx is the number of person-years lived in the age interval.

This question belongs to: Accountancy and Statistics Statistics
Question #1045
The proportion of the total population in the age group 15-59 is called:
A. Working-age population ratio
B. Child-woman ratio
C. Elderly ratio
D. Dependency ratio

Correct Answer: Option A


Explanation:
It is the share of the population that is potentially economically active.

This question belongs to: Accountancy and Statistics Statistics
Question #1046
The measure 'Child-Woman Ratio' is a:
A. Direct measure of fertility
B. Measure of migration
C. Measure of mortality
D. Indirect measure of fertility

Correct Answer: Option D


Explanation:
It relates children 0-4 to women 15-49, approximating fertility.

This question belongs to: Accountancy and Statistics Statistics
Question #1047
In India, the registration of births and deaths is compulsory under:
A. The Constitution of India
B. The Vital Statistics Act, 1971
C. The Census Act, 1948
D. The Registration of Births and Deaths Act, 1969

Correct Answer: Option D


Explanation:
RBD Act, 1969 mandates registration.

This question belongs to: Accountancy and Statistics Statistics
Question #1048
If the price index rises from 100 to 120, the purchasing power of money:
A. Decreases by 20%
B. Decreases by 16.67%
C. Increases by 20%
D. Remains unchanged

Correct Answer: Option B


Explanation:
Purchasing power = 1/price index. Old: 1/100=0.01, new: 1/120≈0.00833, decline = (0.01-0.00833)/0.01 = 0.1667 or 16.67%.

This question belongs to: Accountancy and Statistics Statistics
Question #1049
A data set has a mean of 50 and a standard deviation of 5. If 3 is added to each value, the new coefficient of variation is:
A. 12%
B. 9.43%
C. 10%
D. Unchanged

Correct Answer: Option B


Explanation:
New mean = 53, SD unchanged=5. CV = (5/53)×100 ≈ 9.43%.

This question belongs to: Accountancy and Statistics Statistics
Question #1050
Which of the following is an example of secondary data?
A. Interviews conducted by a journalist
B. Data obtained from the Census of India website for a research paper
C. Data collected by a student for her project through a survey
D. Observations recorded in a lab experiment

Correct Answer: Option B


Explanation:
Data already published is secondary.

This question belongs to: Accountancy and Statistics Statistics
Question #1051
In the schedule method, the advantage over mailed questionnaire is:
A. Lower cost
B. Complete anonymity
C. Higher response rate and accuracy
D. Faster data collection

Correct Answer: Option C


Explanation:
Personal contact ensures better response and clarification.

This question belongs to: Accountancy and Statistics Statistics
Question #1052
The classification of students by blood group is:
A. Qualitative
B. Chronological
C. Geographical
D. Quantitative

Correct Answer: Option A


Explanation:
Blood group is a categorical attribute.

This question belongs to: Accountancy and Statistics Statistics
Question #1053
In a frequency distribution with unequal class intervals, the heights of rectangles in a histogram are proportional to:
A. Frequency density
B. Cumulative frequency
C. Frequency
D. Relative frequency

Correct Answer: Option A


Explanation:
When class widths differ, area represents frequency, so height = frequency / width.

This question belongs to: Accountancy and Statistics Statistics
Question #1054
If the mean of a dataset is 15 and the sum of squared deviations from the mean is 90 for 10 observations, the variance is:
A. 90
B. 9
C. 8.1
D. 10

Correct Answer: Option B


Explanation:
Population variance = 90/10 = 9. Sample variance = 90/9 = 10, but usually variance of the data (population) is 9 if it's the whole set. I'll assume population.

This question belongs to: Accountancy and Statistics Statistics
Question #1055
The geometric mean of 1, 3, 9 is:
A. 4.33
B. 13
C. 3.3
D. 3

Correct Answer: Option D


Explanation:
(1×3×9)^(1/3) = 27^(1/3) = 3.

This question belongs to: Accountancy and Statistics Statistics
Question #1056
Which measure of central tendency is most appropriate for finding the typical salary in a company with a few very high earners?
A. Harmonic mean
B. Mode
C. Median
D. Mean

Correct Answer: Option C


Explanation:
Median is robust to outliers and better represents the typical salary.

This question belongs to: Accountancy and Statistics Statistics
Question #1057
If the events A and B are mutually exclusive and P(A)=0.4, P(B)=0.5, then P(A∪B) is:
A. 0.2
B. 0.9
C. 0.7
D. 0.1

Correct Answer: Option B


Explanation:
0.4+0.5=0.9.

This question belongs to: Accountancy and Statistics Statistics
Question #1058
A box contains 4 white and 6 black balls. A ball is drawn and not replaced. Then another ball is drawn. The probability that both are white is:
A. 6/90
B. 12/90
C. 1/6
D. 2/15

Correct Answer: Option D


Explanation:
(4/10)×(3/9)=12/90=2/15.

This question belongs to: Accountancy and Statistics Statistics
Question #1059
The Laspeyres price index is 120 and the Paasche price index is 110. Fisher's index is:
A. 114.89
B. 113.0
C. 115.5
D. 115.0

Correct Answer: Option A


Explanation:
√(120×110)=√13200≈114.89.

This question belongs to: Accountancy and Statistics Statistics
Question #1060
The WPI base year 2011-12 replaced which previous base year?
A. 2000-01
B. 1993-94
C. 2010
D. 2004-05

Correct Answer: Option D


Explanation:
The previous WPI series had base 2004-05.

This question belongs to: Accountancy and Statistics Statistics

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