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.
Question #1
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Which of the following best defines primary data in statistical research?
Correct Answer: Option B
Explanation:
Primary data refers to first-hand information collected directly by the researcher for a specific statistical objective.
Primary data refers to first-hand information collected directly by the researcher for a specific statistical objective.
This question belongs to:
Accountancy and Statistics
Statistics
Question #2
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Assertion (A): Direct personal investigation is always the most suitable method for data collection. Reason (R): It provides original and highly accurate data.
Correct Answer: Option A
Explanation:
Direct personal investigation is not always suitable, especially for very large populations, although it does yield highly accurate data.
Direct personal investigation is not always suitable, especially for very large populations, although it does yield highly accurate data.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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Which of the following is a primary principle of good questionnaire design?
Correct Answer: Option A
Explanation:
A logical flow prevents respondent confusion and ensures consistent and reliable data collection.
A logical flow prevents respondent confusion and ensures consistent and reliable data collection.
This question belongs to:
Accountancy and Statistics
Statistics
Question #4
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In the context of data collection, what is the fundamental difference between a schedule and a questionnaire?
Correct Answer: Option A
Explanation:
Schedules require trained enumerators to ask questions and record answers, reducing non-response rates compared to questionnaires.
Schedules require trained enumerators to ask questions and record answers, reducing non-response rates compared to questionnaires.
This question belongs to:
Accountancy and Statistics
Statistics
Question #5
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Which of the following sources is considered an unpublished source of secondary data?
Correct Answer: Option C
Explanation:
Internal company records are not available to the general public, making them unpublished secondary data.
Internal company records are not available to the general public, making them unpublished secondary data.
This question belongs to:
Accountancy and Statistics
Statistics
Question #6
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The process of arranging data into homogeneous groups or classes according to some common characteristics is known as:
Correct Answer: Option A
Explanation:
Classification condenses massive data into homogeneous groups, making it easier to analyze.
Classification condenses massive data into homogeneous groups, making it easier to analyze.
This question belongs to:
Accountancy and Statistics
Statistics
Question #7
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In a continuous frequency distribution, what does the term 'class mark' refer to?
Correct Answer: Option D
Explanation:
The class mark is calculated as (Upper Limit + Lower Limit) / 2 and represents the entire class in calculations.
The class mark is calculated as (Upper Limit + Lower Limit) / 2 and represents the entire class in calculations.
This question belongs to:
Accountancy and Statistics
Statistics
Question #8
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A frequency distribution where the upper limit of one class is the lower limit of the next class is called:
Correct Answer: Option D
Explanation:
In an exclusive series (e.g., 10-20, 20-30), the upper limit is excluded from that class and included in the next.
In an exclusive series (e.g., 10-20, 20-30), the upper limit is excluded from that class and included in the next.
This question belongs to:
Accountancy and Statistics
Statistics
Question #9
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Which part of a statistical table provides an explanation of the abbreviations or symbols used in the table?
Correct Answer: Option C
Explanation:
Footnotes are placed at the bottom of the table to clarify any specific entries, symbols, or abbreviations.
Footnotes are placed at the bottom of the table to clarify any specific entries, symbols, or abbreviations.
This question belongs to:
Accountancy and Statistics
Statistics
Question #10
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Which measure of central tendency is most appropriate for qualitative data (e.g., beauty, honesty)?
Correct Answer: Option A
Explanation:
Median is a positional average and can be determined for ranked qualitative data.
Median is a positional average and can be determined for ranked qualitative data.
This question belongs to:
Accountancy and Statistics
Statistics
Question #11
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The algebraic sum of the deviations of a set of values from their arithmetic mean is always:
Correct Answer: Option A
Explanation:
A fundamental property of the arithmetic mean is that the sum of deviations of items from the mean is identically zero.
A fundamental property of the arithmetic mean is that the sum of deviations of items from the mean is identically zero.
This question belongs to:
Accountancy and Statistics
Statistics
Question #12
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For a moderately asymmetrical distribution, the empirical relationship between Mean, Median, and Mode is:
Correct Answer: Option A
Explanation:
Karl Pearson's empirical relationship holds for moderately skewed distributions: Mode = 3(Median) - 2(Mean).
Karl Pearson's empirical relationship holds for moderately skewed distributions: Mode = 3(Median) - 2(Mean).
This question belongs to:
Accountancy and Statistics
Statistics
Question #13
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If the mean of a set of 10 observations is 20, and 5 is added to each observation, what will be the new mean?
Correct Answer: Option C
Explanation:
The arithmetic mean is affected by the change of origin. If a constant is added to all observations, the mean increases by that constant.
The arithmetic mean is affected by the change of origin. If a constant is added to all observations, the mean increases by that constant.
This question belongs to:
Accountancy and Statistics
Statistics
Question #14
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Which measure of central tendency is most suitable for averaging rates, ratios, and speeds over equal distances?
Correct Answer: Option A
Explanation:
Harmonic mean is mathematically appropriate for averaging rates and speeds when the distance is constant.
Harmonic mean is mathematically appropriate for averaging rates and speeds when the distance is constant.
This question belongs to:
Accountancy and Statistics
Statistics
Question #15
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If the Arithmetic Mean (AM) of two positive numbers is 10 and their Geometric Mean (GM) is 8, what is their Harmonic Mean (HM)?
Correct Answer: Option B
Explanation:
For two positive numbers, AM × HM = GM². Therefore, 10 × HM = 64, which gives HM = 6.4.
For two positive numbers, AM × HM = GM². Therefore, 10 × HM = 64, which gives HM = 6.4.
This question belongs to:
Accountancy and Statistics
Statistics
Question #16
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In a random experiment, the set of all possible outcomes is known as the:
Correct Answer: Option A
Explanation:
The sample space comprises every possible outcome of a random experiment.
The sample space comprises every possible outcome of a random experiment.
This question belongs to:
Accountancy and Statistics
Statistics
Question #17
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Two events A and B are said to be mutually exclusive if:
Correct Answer: Option D
Explanation:
Mutually exclusive events cannot occur simultaneously, meaning their intersection is the empty set (probability is zero).
Mutually exclusive events cannot occur simultaneously, meaning their intersection is the empty set (probability is zero).
This question belongs to:
Accountancy and Statistics
Statistics
Question #18
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If P(A) = 0.4, P(B) = 0.5, and A and B are independent events, what is P(A ∪ B)?
Correct Answer: Option B
Explanation:
For independent events, P(A ∩ B) = 0.4 × 0.5 = 0.2. Using the addition theorem: P(A ∪ B) = 0.4 + 0.5 - 0.2 = 0.7.
For independent events, P(A ∩ B) = 0.4 × 0.5 = 0.2. Using the addition theorem: P(A ∪ B) = 0.4 + 0.5 - 0.2 = 0.7.
This question belongs to:
Accountancy and Statistics
Statistics
Question #19
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Bayes' Theorem is primarily used to calculate:
Correct Answer: Option C
Explanation:
Bayes' theorem updates prior probabilities using new evidence to compute posterior probabilities.
Bayes' theorem updates prior probabilities using new evidence to compute posterior probabilities.
This question belongs to:
Accountancy and Statistics
Statistics
Question #20
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A bag contains 3 red and 4 black balls. If two balls are drawn at random without replacement, what is the probability that both are red?
Correct Answer: Option D
Explanation:
P(Both Red) = (3/7) × (2/6) = 6/42 = 1/7.
P(Both Red) = (3/7) × (2/6) = 6/42 = 1/7.
This question belongs to:
Accountancy and Statistics
Statistics
