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.

1318
Total Questions

Practice Questions

Page 12 of 66
Question #221
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
Discuss
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Correct Answer: Option C

Explanation:
PNMR = (stillbirths + early neonatal deaths) / (live births + stillbirths) × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #222
If the arithmetic mean of 8, 12, x, 6, 9 is 8, then x is:
A. 8
B. 4
C. 5
D. 7
Discuss
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Correct Answer: Option C

Explanation:
(8+12+x+6+9)/5 = 8 → 35 + x = 40 → x = 5.
This question belongs to: Accountancy and Statistics Statistics
Question #223
The sum of absolute deviations is minimum when taken from:
A. Median
B. Mode
C. Geometric mean
D. Arithmetic mean
Discuss
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Correct Answer: Option A

Explanation:
The median minimizes the sum of absolute deviations, Σ|x - M|.
This question belongs to: Accountancy and Statistics Statistics
Question #224
Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Mode
D. Range
Discuss
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Correct Answer: Option D

Explanation:
Range is a measure of dispersion, not central tendency.
This question belongs to: Accountancy and Statistics Statistics
Question #225
In the theory of attributes, the class frequency (Aβ) represents:
A. Number not possessing A but possessing B
B. Number possessing A and B
C. Number possessing neither
D. Number possessing A but not B
Discuss
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Correct Answer: Option D

Explanation:
β indicates absence of B; (Aβ) = items with A and without B.
This question belongs to: Accountancy and Statistics Statistics
Question #226
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 correlation
B. Coefficient of colligation
C. Coefficient of concordance
D. Coefficient of determination
Discuss
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Correct Answer: Option B

Explanation:
Q is Yule's coefficient of association, also called coefficient of colligation.
This question belongs to: Accountancy and Statistics Statistics
Question #227
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. Multiplying old index by 100/index of new base year
B. Adding the old indices
C. Taking the geometric mean of the two indices
D. Dividing old index by old index of new base year and multiplying by 100
Discuss
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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
The Consumer Price Index for Industrial Workers (CPI-IW) is compiled by:
A. NSSO
B. Central Statistics Office
C. Labour Bureau, Shimla
D. Reserve Bank of India
Discuss
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Correct Answer: Option C

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
Fisher's ideal quantity index formula is:
A. (Σp₁q₁/Σp₁q₀) × 100
B. √[ (Σp₁q₀/Σp₀q₀) × (Σp₁q₁/Σp₀q₁) ] × 100
C. (Σp₀q₁/Σp₀q₀) × 100
D. √[ (Σp₀q₁/Σp₀q₀) × (Σp₁q₁/Σp₁q₀) ] × 100
Discuss
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Correct Answer: Option D

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
The 'bias' in Laspeyres and Paasche price indices is that:
A. Both overstate
B. Laspeyres tends to overstate price increase, Paasche understates
C. Laspeyres understates, Paasche overstates
D. Both understate
Discuss
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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
Census of India is an example of:
A. Vital registration system
B. Sample survey
C. Complete enumeration
D. Administrative data
Discuss
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Correct Answer: Option C

Explanation:
Census attempts to cover every individual in the country, hence complete enumeration.
This question belongs to: Accountancy and Statistics Statistics
Question #232
Net migration rate is calculated as the difference between in-migrants and out-migrants per:
A. 1000 births
B. Square kilometer
C. 1000 population
D. Working-age population
Discuss
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Correct Answer: Option C

Explanation:
Net migration rate = (Immigrants - Emigrants) / Mid-year population × 1000.
This question belongs to: Accountancy and Statistics Statistics
Question #233
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. Median growth rate
C. Geometric mean of growth factors
D. Harmonic mean
Discuss
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Correct Answer: Option C

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
Which method of collecting primary data is most suitable when the field of investigation is highly confidential and restricted?
A. Mailed questionnaire method
B. Direct personal interview
C. Indirect oral investigation
D. Information through local correspondents
Discuss
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Correct Answer: Option B

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
Information published by the United Nations Statistical Division is considered as:
A. Primary Data
B. Secondary Data
C. Tertiary Data
D. Fictitious Data
Discuss
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Correct Answer: Option B

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
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. Measurement error
D. Sampling bias
Discuss
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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
A preliminary test of a questionnaire on a small subset of the population before the main survey is called:
A. Stratification
B. Sampling
C. Pre-testing or Pilot Survey
D. Census
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Correct Answer: Option C

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
Which of the following is a characteristic of a well-designed questionnaire?
A. Using simple and unambiguous language
B. Use of double negative questions
C. Maximum use of open-ended questions
D. Placing sensitive questions at the beginning
Discuss
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Correct Answer: Option A

Explanation:
Simple language prevents misinterpretation, ensuring reliable and accurate data collection from respondents.
This question belongs to: Accountancy and Statistics Statistics
Question #239
Data classified based on geographical areas such as countries, states, or cities is known as:
A. Chronological classification
B. Qualitative classification
C. Spatial classification
D. Quantitative classification
Discuss
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Correct Answer: Option C

Explanation:
Spatial or geographical classification groups data according to physical locations or regions.
This question belongs to: Accountancy and Statistics Statistics
Question #240
In a statistical table, the column headings are technically referred to as:
A. Prefatory notes
B. Captions
C. Body
D. Stubs
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Correct Answer: Option B

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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