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.

1318 Total
Question #221 Report Error
The denominator for Perinatal Mortality Rate includes:
A. Total live births only
B. Women of reproductive age
C. Total births (live births + stillbirths)
D. Total population

Correct Answer: Option C


Explanation:
PNMR = (stillbirths + early neonatal deaths) / (live births + stillbirths) × 1000.

This question belongs to: Accountancy and Statistics Statistics
Question #222 Report Error
If the arithmetic mean of 8, 12, x, 6, 9 is 8, then x is:
A. 7
B. 8
C. 4
D. 5

Correct Answer: Option D


Explanation:
(8+12+x+6+9)/5 = 8 → 35 + x = 40 → x = 5.

This question belongs to: Accountancy and Statistics Statistics
Question #223 Report Error
The sum of absolute deviations is minimum when taken from:
A. Arithmetic mean
B. Median
C. Mode
D. Geometric mean

Correct Answer: Option B


Explanation:
The median minimizes the sum of absolute deviations, Σ|x - M|.

This question belongs to: Accountancy and Statistics Statistics
Question #224 Report Error
Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Mode
D. Range

Correct Answer: Option D


Explanation:
Range is a measure of dispersion, not central tendency.

This question belongs to: Accountancy and Statistics Statistics
Question #225 Report Error
In the theory of attributes, the class frequency (Aβ) represents:
A. Number possessing A but not B
B. Number possessing neither
C. Number possessing A and B
D. Number not possessing A but possessing B

Correct Answer: Option A


Explanation:
β indicates absence of B; (Aβ) = items with A and without B.

This question belongs to: Accountancy and Statistics Statistics
Question #226 Report Error
Yule's coefficient of association Q is defined as (ad - bc)/(ad + bc), where ad = (AB)×(αβ) and bc = (Aβ)×(αB). This coefficient is also known as:
A. Coefficient of colligation
B. Coefficient of determination
C. Coefficient of correlation
D. Coefficient of concordance

Correct Answer: Option A


Explanation:
Q is Yule's coefficient of association, also called coefficient of colligation.

This question belongs to: Accountancy and Statistics Statistics
Question #227 Report Error
When the base year of a fixed base index series is changed from 2010 to 2015, the new index for 2020 is obtained by:
A. Taking the geometric mean of the two indices
B. Multiplying old index by 100/index of new base year
C. Adding the old indices
D. Dividing old index by old index of new base year and multiplying by 100

Correct Answer: Option D


Explanation:
New index = (Old index for target year / Old index for new base year) × 100.

This question belongs to: Accountancy and Statistics Statistics
Question #228 Report Error
The Consumer Price Index for Industrial Workers (CPI-IW) is compiled by:
A. NSSO
B. Labour Bureau, Shimla
C. Reserve Bank of India
D. Central Statistics Office

Correct Answer: Option B


Explanation:
The Labour Bureau compiles CPI-IW, a key measure of retail inflation for industrial workers.

This question belongs to: Accountancy and Statistics Statistics
Question #229 Report Error
Fisher's ideal quantity index formula is:
A. √[ (Σp₁q₀/Σp₀q₀) × (Σp₁q₁/Σp₀q₁) ] × 100
B. (Σp₀q₁/Σp₀q₀) × 100
C. √[ (Σp₀q₁/Σp₀q₀) × (Σp₁q₁/Σp₁q₀) ] × 100
D. (Σp₁q₁/Σp₁q₀) × 100

Correct Answer: Option C


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

This question belongs to: Accountancy and Statistics Statistics
Question #230 Report Error
The 'bias' in Laspeyres and Paasche price indices is that:
A. Both overstate
B. Laspeyres tends to overstate price increase, Paasche understates
C. Both understate
D. Laspeyres understates, Paasche overstates

Correct Answer: Option B


Explanation:
Laspeyres uses base period basket, ignoring substitution, so it overstates; Paasche uses current basket, often understating.

This question belongs to: Accountancy and Statistics Statistics
Question #231 Report Error
Census of India is an example of:
A. Administrative data
B. Vital registration system
C. Sample survey
D. Complete enumeration

Correct Answer: Option D


Explanation:
Census attempts to cover every individual in the country, hence complete enumeration.

This question belongs to: Accountancy and Statistics Statistics
Question #232 Report Error
Net migration rate is calculated as the difference between in-migrants and out-migrants per:
A. 1000 population
B. Square kilometer
C. 1000 births
D. Working-age population

Correct Answer: Option A


Explanation:
Net migration rate = (Immigrants - Emigrants) / Mid-year population × 1000.

This question belongs to: Accountancy and Statistics Statistics
Question #233 Report Error
The population of a town increased from 20,000 to 25,000 in 10 years. The average annual growth rate is best computed using:
A. Arithmetic mean of growth rates
B. Geometric mean of growth factors
C. Median growth rate
D. Harmonic mean

Correct Answer: Option B


Explanation:
Geometric mean is appropriate for compound growth rates; annual growth factor = (25000/20000)^(1/10).

This question belongs to: Accountancy and Statistics Statistics
Question #234 Report Error
Which method of collecting primary data is most suitable when the field of investigation is highly confidential and restricted?
A. Indirect oral investigation
B. Information through local correspondents
C. Direct personal interview
D. Mailed questionnaire method

Correct Answer: Option C


Explanation:
Direct personal interview ensures maximum confidentiality as the investigator directly collects data without intermediaries.

This question belongs to: Accountancy and Statistics Statistics
Question #235 Report Error
Information published by the United Nations Statistical Division is considered as:
A. Secondary Data
B. Fictitious Data
C. Primary Data
D. Tertiary Data

Correct Answer: Option A


Explanation:
Data published by international organizations are secondary sources for researchers who use them for their own studies.

This question belongs to: Accountancy and Statistics Statistics
Question #236 Report Error
Which of the following errors is exclusively associated with the collection of secondary data?
A. Non-response error
B. Inappropriateness to the objective of the current study
C. Sampling bias
D. Measurement error

Correct Answer: Option B


Explanation:
Secondary data was originally collected for a different purpose, hence it might not strictly align with the current study's objectives.

This question belongs to: Accountancy and Statistics Statistics
Question #237 Report Error
A preliminary test of a questionnaire on a small subset of the population before the main survey is called:
A. Sampling
B. Pre-testing or Pilot Survey
C. Stratification
D. Census

Correct Answer: Option B


Explanation:
A pilot survey helps in identifying shortcomings in the questionnaire design before full-scale implementation.

This question belongs to: Accountancy and Statistics Statistics
Question #238 Report Error
Which of the following is a characteristic of a well-designed questionnaire?
A. Use of double negative questions
B. Placing sensitive questions at the beginning
C. Using simple and unambiguous language
D. Maximum use of open-ended questions

Correct Answer: Option C


Explanation:
Simple language prevents misinterpretation, ensuring reliable and accurate data collection from respondents.

This question belongs to: Accountancy and Statistics Statistics
Question #239 Report Error
Data classified based on geographical areas such as countries, states, or cities is known as:
A. Spatial classification
B. Chronological classification
C. Qualitative classification
D. Quantitative classification

Correct Answer: Option A


Explanation:
Spatial or geographical classification groups data according to physical locations or regions.

This question belongs to: Accountancy and Statistics Statistics
Question #240 Report Error
In a statistical table, the column headings are technically referred to as:
A. Stubs
B. Prefatory notes
C. Captions
D. Body

Correct Answer: Option C


Explanation:
Captions refer to the headings of the columns in a table, whereas stubs refer to the row headings.

This question belongs to: Accountancy and Statistics Statistics

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