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 9 of 66
Question #161
Direct standardization of death rates uses:
A. Life table functions
B. Crude death rates only
C. Age-specific death rates of the standard population
D. Age-specific death rates of the given populations applied to a standard age distribution

Correct Answer: Option D


Explanation:
Direct standardization applies the observed age-specific rates to a standard population distribution.

This question belongs to: Accountancy and Statistics Statistics
Question #162
Life expectancy at birth is calculated from a:
A. Census
B. Sample survey
C. Fertility survey
D. Life table

Correct Answer: Option D


Explanation:
Life expectancy is derived from a life table, which summarizes mortality rates at each age.

This question belongs to: Accountancy and Statistics Statistics
Question #163
Which of the following is NOT a measure of fertility?
A. Crude Birth Rate
B. Age Specific Fertility Rate
C. Infant Mortality Rate
D. General Marital Fertility Rate

Correct Answer: Option C


Explanation:
Infant mortality rate measures deaths of infants, not births; it is a mortality indicator.

This question belongs to: Accountancy and Statistics Statistics
Question #164
According to recent estimates (NFHS-5), the Total Fertility Rate (TFR) of India is around:
A. 2.5
B. 2.0
C. 2.2
D. 3.0

Correct Answer: Option B


Explanation:
NFHS-5 (2019-21) reported a TFR of 2.0 children per woman, reaching replacement level.

This question belongs to: Accountancy and Statistics Statistics
Question #165
Gross Reproduction Rate (GRR) considers only:
A. Male births
B. Female births
C. Total births
D. Infant deaths

Correct Answer: Option B


Explanation:
GRR measures the average number of daughters a woman would bear in her reproductive life.

This question belongs to: Accountancy and Statistics Statistics
Question #166
If TFR = 3.0 and the proportion of female births is 0.49, GRR is:
A. 0.49
B. 3.0
C. 1.53
D. 1.47

Correct Answer: Option D


Explanation:
GRR = TFR × (female birth proportion) = 3.0 × 0.49 = 1.47 daughters per woman.

This question belongs to: Accountancy and Statistics Statistics
Question #167
If Net Reproduction Rate (NRR) < 1, the population in the long run will:
A. Decline
B. Fluctuate unpredictably
C. Stabilize
D. Grow

Correct Answer: Option A


Explanation:
NRR below 1 indicates that each generation is not replacing itself, leading to eventual population decline.

This question belongs to: Accountancy and Statistics Statistics
Question #168
The sum of 50 observations is 500; the arithmetic mean is:
A. 500
B. 10
C. 25
D. 5

Correct Answer: Option B


Explanation:
Mean = 500 / 50 = 10.

This question belongs to: Accountancy and Statistics Statistics
Question #169
In a distribution with extreme outliers, which measure of central tendency is most appropriate?
A. Mean
B. Harmonic mean
C. Median
D. Mode

Correct Answer: Option C


Explanation:
The median is resistant to outliers and gives a better central value for skewed distributions.

This question belongs to: Accountancy and Statistics Statistics
Question #170
For an open-end frequency distribution, a suitable measure of central tendency is:
A. Median
B. Mode
C. Arithmetic mean
D. Geometric mean

Correct Answer: Option A


Explanation:
The median can be determined even if the extremes are open-ended, as long as the median class is closed.

This question belongs to: Accountancy and Statistics Statistics
Question #171
The harmonic mean of 1, 2, and 4 is:
A. 7/3
B. 7/12
C. 12/7
D. 3/7

Correct Answer: Option C


Explanation:
HM = 3 / (1 + 1/2 + 1/4) = 3 / 1.75 = 12/7.

This question belongs to: Accountancy and Statistics Statistics
Question #172
Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for positive numbers. Reason (R): Because geometric mean is a measure of central tendency.
A. A false, R true
B. Both A and R true, and R is correct explanation of A
C. A true, R false
D. Both A and R true, but R is not correct explanation

Correct Answer: Option D


Explanation:
The inequality AM ≥ GM is a mathematical truth; the reason given does not explain why it holds.

This question belongs to: Accountancy and Statistics Statistics
Question #173
In Fisher's ideal index, which mean is used to combine Laspeyres and Paasche indices?
A. Harmonic mean
B. Geometric mean
C. Arithmetic mean
D. Median

Correct Answer: Option B


Explanation:
Fisher's ideal index is the geometric mean of the Laspeyres and Paasche indices.

This question belongs to: Accountancy and Statistics Statistics
Question #174
The formula for weighted arithmetic mean is:
A. Σx / Σw
B. Σw / Σx
C. Σwx / Σw
D. Σwx / n

Correct Answer: Option C


Explanation:
Weighted mean = Σ(w_i x_i) / Σ w_i.

This question belongs to: Accountancy and Statistics Statistics
Question #175
Data collected from a published report of the World Bank is called:
A. Primary data
B. Meta data
C. Secondary data
D. Raw data

Correct Answer: Option C


Explanation:
Published reports contain data already gathered by someone else, hence secondary data.

This question belongs to: Accountancy and Statistics Statistics
Question #176
In tabulation, the title of a table should be placed:
A. At the bottom
B. At the top
C. In footnotes
D. As a row heading

Correct Answer: Option B


Explanation:
The title appears at the top of a table and describes its content.

This question belongs to: Accountancy and Statistics Statistics
Question #177
The 'stub' of a table refers to:
A. The row headings (left part)
B. The title
C. The column headings
D. The box-head

Correct Answer: Option A


Explanation:
The stub is the leftmost column containing the row captions or descriptions.

This question belongs to: Accountancy and Statistics Statistics
Question #178
In a frequency polygon, the points plotted are:
A. Cumulative frequencies vs upper boundaries
B. Lower limits vs frequencies
C. Upper limits vs frequencies
D. Class midpoints vs frequencies

Correct Answer: Option D


Explanation:
A frequency polygon connects the midpoints of histogram bars at their respective frequencies.

This question belongs to: Accountancy and Statistics Statistics
Question #179
An ogive is a graph of:
A. Frequency against lower limits
B. Cumulative frequency against upper class boundaries
C. Frequency vs class midpoints
D. Cumulative frequency against lower class boundaries

Correct Answer: Option B


Explanation:
A 'less than' ogive plots cumulative frequency against the upper class boundaries.

This question belongs to: Accountancy and Statistics Statistics
Question #180
The probability of obtaining a sum of 9 in a single throw of two dice is:
A. 1/9
B. 1/12
C. 1/6
D. 1/36

Correct Answer: Option A


Explanation:
Favorable outcomes: (3,6),(4,5),(5,4),(6,3) → 4. Probability = 4/36 = 1/9.

This question belongs to: Accountancy and Statistics Statistics

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