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 17 of 66
Question #321
In demographic terminology, 'Morbidity' refers to:
A. Birth rates
B. Sickness or disease rates
C. Migration rates
D. Death rates

Correct Answer: Option B


Explanation:
Morbidity describes the incidence or prevalence of a disease or illness within a population.

This question belongs to: Accountancy and Statistics Statistics
Question #322
The Age Specific Fertility Rate (ASFR) is usually computed for women in the age bracket of:
A. 50-65 years
B. 0-14 years
C. 15-49 years
D. All ages

Correct Answer: Option C


Explanation:
Demographers universally consider 15 to 49 years as the standard female reproductive age span.

This question belongs to: Accountancy and Statistics Statistics
Question #323
Which of the following mortality rates is most sensitive to environmental factors and sanitation?
A. Infant Mortality Rate (IMR)
B. Maternal Mortality Ratio
C. Specific Death Rate for 60+ age group
D. Crude Death Rate

Correct Answer: Option A


Explanation:
IMR is heavily influenced by external socio-economic, nutritional, and environmental factors, making it a proxy for overall development.

This question belongs to: Accountancy and Statistics Statistics
Question #324
In a normal distribution, approximately what percentage of data falls within Mean ± 1 Standard Deviation?
A. 68.27%
B. 99.73%
C. 50%
D. 95.45%

Correct Answer: Option A


Explanation:
According to the empirical rule for normal distributions, roughly 68.27% of observations lie within one standard deviation of the mean.

This question belongs to: Accountancy and Statistics Statistics
Question #325
Which data collection method has the lowest response rate generally?
A. Schedule through enumerator
B. Mailed questionnaire
C. Direct personal interview
D. Telephone interview

Correct Answer: Option B


Explanation:
Mailed questionnaires suffer from high non-response as respondents often ignore or forget to return them.

This question belongs to: Accountancy and Statistics Statistics
Question #326
When constructing a frequency polygon, the frequencies are plotted against:
A. Cumulative frequencies
B. Upper class limits
C. Lower class limits
D. Class marks (midpoints)

Correct Answer: Option D


Explanation:
A frequency polygon connects the points formed by the class frequencies plotted at the exact midpoints of the class intervals.

This question belongs to: Accountancy and Statistics Statistics
Question #327
A median can be determined graphically using:
A. Pie chart
B. Scatter diagram
C. Ogive (Cumulative Frequency Curve)
D. Histogram

Correct Answer: Option C


Explanation:
The median is found graphically by plotting the 'less than' and 'more than' ogives; their intersection point corresponds to the median.

This question belongs to: Accountancy and Statistics Statistics
Question #328
A mode can be located graphically with the help of a:
A. Bar chart
B. Frequency Curve
C. Ogive
D. Histogram

Correct Answer: Option D


Explanation:
By drawing a histogram, the mode is found by joining the top corners of the highest rectangle to the adjacent rectangles.

This question belongs to: Accountancy and Statistics Statistics
Question #329
Which of the following averages cannot be calculated if the distribution has open-end classes at both extremes?
A. Quartiles
B. Mode
C. Median
D. Arithmetic Mean

Correct Answer: Option D


Explanation:
Mean requires precise midpoints for all classes. Open-end classes lack boundaries, making precise mean calculation impossible.

This question belongs to: Accountancy and Statistics Statistics
Question #330
The sum of absolute deviations of values is minimum when measured from the:
A. Geometric Mean
B. Median
C. Mode
D. Mean

Correct Answer: Option B


Explanation:
A mathematical property of the Median is that the sum of the absolute deviations (ignoring signs) from it is minimized.

This question belongs to: Accountancy and Statistics Statistics
Question #331
What happens to the Variance of a dataset if each observation is multiplied by a constant 'k'?
A. It remains unchanged
B. It is multiplied by k
C. It is multiplied by k^2
D. It increases by k

Correct Answer: Option C


Explanation:
Variance involves squaring the deviations. Multiplying data by k scales the variance by the square of that constant (k^2).

This question belongs to: Accountancy and Statistics Statistics
Question #332
Two dice are rolled. The probability of getting a doublet is:
A. 1/12
B. 1/36
C. 1/6
D. 1/3

Correct Answer: Option C


Explanation:
Doublets are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6). Total 6 outcomes out of 36. Prob = 6/36 = 1/6.

This question belongs to: Accountancy and Statistics Statistics
Question #333
If the occurrence of one event precludes the occurrence of another, the events are:
A. Independent
B. Exhaustive
C. Equally likely
D. Mutually Exclusive

Correct Answer: Option D


Explanation:
Mutually exclusive means disjoint events; if one happens, the other definitively cannot.

This question belongs to: Accountancy and Statistics Statistics
Question #334
A bag contains 5 white and 3 black balls. If one ball is drawn, the probability it is black is:
A. 3/5
B. 3/8
C. 5/8
D. 1/8

Correct Answer: Option B


Explanation:
Total balls = 8. Favorable outcomes (black) = 3. Probability = 3/8.

This question belongs to: Accountancy and Statistics Statistics
Question #335
In attribute theory, the class frequency (αB) denotes:
A. Presence of A and absence of B
B. Absence of A and presence of B
C. Presence of A and B
D. Absence of both A and B

Correct Answer: Option B


Explanation:
Greek letters denote absence and capital English letters denote presence. So, α means not-A, and B means presence of B.

This question belongs to: Accountancy and Statistics Statistics
Question #336
Dorbish and Bowley's price index is the:
A. Arithmetic mean of Laspeyres and Paasche
B. Difference between Laspeyres and Paasche
C. Harmonic mean of Laspeyres and Paasche
D. Geometric mean of Laspeyres and Paasche

Correct Answer: Option A


Explanation:
Dorbish-Bowley index averages the Laspeyres and Paasche formulas using a simple arithmetic mean: (L + P) / 2.

This question belongs to: Accountancy and Statistics Statistics
Question #337
Base shifting in index numbers is commonly done when:
A. Calculating geometric means
B. Switching from WPI to CPI
C. The base year becomes too old and irrelevant
D. Prices have dropped significantly

Correct Answer: Option C


Explanation:
As consumption patterns change over time, old base years lose relevance, requiring 'base shifting' to a more recent period.

This question belongs to: Accountancy and Statistics Statistics
Question #338
The Family Budget Method for calculating the Consumer Price Index is equivalent to:
A. Laspeyres' Method
B. Fisher's Method
C. Paasche's Method
D. Simple Aggregative Method

Correct Answer: Option A


Explanation:
The family budget method (weighted average of price relatives) mathematically reduces to Laspeyres' formula (using base year weights).

This question belongs to: Accountancy and Statistics Statistics
Question #339
The first synchronous census of India was held in the year:
A. 1947
B. 1881
C. 1872
D. 1901

Correct Answer: Option B


Explanation:
While a partial census occurred in 1872, the first complete and synchronous census of India took place in 1881.

This question belongs to: Accountancy and Statistics Statistics
Question #340
In the context of population studies, 'Fecundity' means:
A. Physiological maximum capacity to reproduce
B. Death rate of women in childbirth
C. Number of stillbirths
D. Actual number of live births

Correct Answer: Option A


Explanation:
Fecundity is the biological capability to bear children, whereas fertility is the actual realization of births.

This question belongs to: Accountancy and Statistics Statistics

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