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 16 of 66
Question #301
Which data collection method is highly prone to the 'bias of the enumerator'?
A. Both B and C
B. Mailed Questionnaire
C. Schedules sent through enumerators
D. Direct Personal Interview
Discuss
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Correct Answer: Option A

Explanation:
In direct interviews and schedules, the enumerator is physically present and their personal bias or probing style can influence the responses.
This question belongs to: Accountancy and Statistics Statistics
Question #302
When designing a questionnaire, multiple-choice questions are preferred over open-ended questions primarily because:
A. They are easier to tabulate and analyze objectively
B. They allow respondents to express complex feelings
C. They eliminate all forms of bias
D. They take up less space
Discuss
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Correct Answer: Option A

Explanation:
MCQs standardise responses, making data compilation, coding, and statistical tabulation much faster and uniform.
This question belongs to: Accountancy and Statistics Statistics
Question #303
Data on 'Religion of individuals' (Hindu, Muslim, Christian, etc.) is an example of:
A. Qualitative classification
B. Chronological classification
C. Quantitative classification
D. Spatial classification
Discuss
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Correct Answer: Option A

Explanation:
Religion is an attribute, not a numerical value, so grouping by religion is a qualitative (descriptive) classification.
This question belongs to: Accountancy and Statistics Statistics
Question #304
A table that presents data according to two independent characteristics simultaneously is called a:
A. Manifold table
B. Two-way (bivariate) table
C. Simple table
D. One-way table
Discuss
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Correct Answer: Option B

Explanation:
A two-way table crosses two distinct variables, such as displaying population by both age and gender.
This question belongs to: Accountancy and Statistics Statistics
Question #305
In a continuous frequency distribution, the class interval '10-20' means the class includes:
A. Values greater than 20
B. Only the values 10 and 20
C. Values from 10 up to exactly 20
D. Values from 10 up to but not including 20 (in an exclusive series)
Discuss
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Correct Answer: Option D

Explanation:
In standard exclusive class intervals, the lower limit is included, but the upper limit is excluded and falls into the next class.
This question belongs to: Accountancy and Statistics Statistics
Question #306
If the Arithmetic Mean is 50 and the number of items is 10, the sum of all items is:
A. 5
B. 50
C. 100
D. 500
Discuss
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Correct Answer: Option D

Explanation:
Sum = Mean × N = 50 × 10 = 500.
This question belongs to: Accountancy and Statistics Statistics
Question #307
Which average is most drastically affected by extreme outlier values?
A. Arithmetic Mean
B. Geometric Mean
C. Mode
D. Median
Discuss
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Correct Answer: Option A

Explanation:
Since the Arithmetic Mean includes every single value in its calculation, a massive outlier will heavily pull the mean.
This question belongs to: Accountancy and Statistics Statistics
Question #308
The Median of the dataset: 12, 15, 10, 18, 20 is:
A. 18
B. 10
C. 12
D. 15
Discuss
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Correct Answer: Option D

Explanation:
First, arrange in order: 10, 12, 15, 18, 20. The middle value (3rd item) is 15.
This question belongs to: Accountancy and Statistics Statistics
Question #309
Which of the following distributions will definitely have Mean < Median < Mode?
A. Symmetrical distribution
B. U-shaped distribution
C. Negatively skewed distribution
D. Positively skewed distribution
Discuss
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Correct Answer: Option C

Explanation:
In a left-skewed (negative) distribution, extreme low values drag the mean down below the median and mode.
This question belongs to: Accountancy and Statistics Statistics
Question #310
A person travels from A to B at 40 km/h and returns from B to A at 60 km/h. His average speed for the whole journey is:
A. 48 km/h
B. 45 km/h
C. 50 km/h
D. 52 km/h
Discuss
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Correct Answer: Option A

Explanation:
For equal distances, use Harmonic Mean: 2ab/(a+b) = 2(40)(60)/(100) = 4800/100 = 48 km/h.
This question belongs to: Accountancy and Statistics Statistics
Question #311
An experiment consists of rolling a fair die. Event A = {2, 4, 6} and Event B = {3, 6}. What is P(A ∪ B)?
A. 2/3
B. 1/3
C. 5/6
D. 1/2
Discuss
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Correct Answer: Option A

Explanation:
A ∪ B = {2, 3, 4, 6}. Four favorable outcomes. P(A ∪ B) = 4/6 = 2/3.
This question belongs to: Accountancy and Statistics Statistics
Question #312
The probability of drawing a Spade from a well-shuffled deck of 52 cards is:
A. 1/4
B. 13/52
C. 1/2
D. 1/13
Discuss
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Correct Answer: Option A

Explanation:
There are 13 spades in a 52-card deck. Probability = 13/52 = 1/4.
This question belongs to: Accountancy and Statistics Statistics
Question #313
If events A and B are independent, which of the following is true regarding their complements A' and B'?
A. They are also independent
B. They are mutually exclusive
C. They are completely associated
D. They are dependent
Discuss
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Correct Answer: Option A

Explanation:
A fundamental theorem of probability states that if A and B are independent, their complements A' and B' are also independent.
This question belongs to: Accountancy and Statistics Statistics
Question #314
Consider attributes: Vaccination (A) and Immunity (B). If (AB) = 150, (A) = 200, (B) = 300, N = 500, what type of association exists?
A. Inconsistent Data
B. Independent
C. Negative Association
D. Positive Association
Discuss
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Correct Answer: Option D

Explanation:
Expected (AB) if independent = (200*300)/500 = 120. Actual (AB) = 150. Since Actual > Expected, the association is positive.
This question belongs to: Accountancy and Statistics Statistics
Question #315
In attribute theory, the formula N = (A) + (α) represents:
A. Yule's coefficient
B. Association criterion
C. First order frequencies summing to the universe
D. Zero order consistency
Discuss
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Correct Answer: Option C

Explanation:
The total population N is divided completely between those possessing the attribute (A) and those not possessing it (α).
This question belongs to: Accountancy and Statistics Statistics
Question #316
If index number for year 2020 (Base 2010) is 150, it means:
A. Prices have decreased by 50%
B. Prices have increased by 150%
C. Prices are 1.5 times the 2020 prices
D. Prices have increased by 50%
Discuss
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Correct Answer: Option D

Explanation:
An index of 150 implies current prices are 150% of the base year (which is 100), meaning a net increase of 50%.
This question belongs to: Accountancy and Statistics Statistics
Question #317
In the construction of Index Numbers, Geometric Mean is considered better than Arithmetic Mean because:
A. It fails the time reversal test
B. It gives equal weight to equal percentage changes
C. It is easier to calculate
D. It ignores zero values
Discuss
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Correct Answer: Option B

Explanation:
GM balances out massive price swings better than AM because it treats a doubling (200%) and a halving (50%) equally.
This question belongs to: Accountancy and Statistics Statistics
Question #318
Base year for constructing an index number should ideally be:
A. A year of war or economic crisis
B. The immediately preceding year
C. The current year
D. A normal year without extreme fluctuations
Discuss
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Correct Answer: Option D

Explanation:
A 'normal' base year avoids distortions in the index that would arise if the reference point was anomalous (e.g., drought, pandemic).
This question belongs to: Accountancy and Statistics Statistics
Question #319
Which formula uses the arithmetic mean of base and current year quantities as weights?
A. Marshall-Edgeworth
B. Dorbish-Bowley
C. Laspeyres
D. Paasche
Discuss
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Correct Answer: Option A

Explanation:
Marshall-Edgeworth uses the sum (or arithmetic average) of quantities from both years: w = (q0 + q1).
This question belongs to: Accountancy and Statistics Statistics
Question #320
The total population of a country at a given time is essentially affected by:
A. Mortality only
B. Fertility, Mortality, and Migration
C. Fertility only
D. Migration only
Discuss
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Correct Answer: Option B

Explanation:
These three components are the only demographic variables that determine changes in population size.
This question belongs to: Accountancy and Statistics Statistics

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