Business Statistics — Part 1 MCQs with Explanations
Practice high-yield Management Sciences MCQs on Business Statistics — Part 1 with worked academic solutions for CSS, PMS, FPSC, PPSC, NTS.
Questions
40
Difficulty Level
Exam-Level
Target Exams
CSS, PMS, FPSC...
Estimated Time
48 mins
Exam-Level CSS PMS FPSC PPSC NTS
Verified for Commission Syllabus • Oct 14, 2026
40
Verified Practice Questions
Interactive test mode with detailed academic worked solutions
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Question 1 of 40
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In statistical analysis, the burden of proof lies traditionally with
Correct Answer: Option A — alternative hypothesis
Detailed Academic Explanation:
alternative hypothesis is the correct answer to “In statistical analysis, the burden of proof lies traditionally with”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 2 of 40
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Business system consists
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “Business system consists”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 3 of 40
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From the following statements choose the correct statements. Statement I A statistic is a characteristic of a population. Statement II The standard error of mean is the standard deviation of the sampling distribution. Statement III The standard error of mean decreases in direct proportion to sample size.
Correct Answer: Option C — Statements II and III are true
Detailed Academic Explanation:
Statements II and III are true is the correct answer to “From the following statements choose the correct statements. Statement I A statistic is a characteristic of a population. Statement II The standard error of mean is the standard deviation of the sampling distribution. Statement III The standard error of mean decreases in direct proportion to sample size.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 4 of 40
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. . . . . . . . processing is designed to process more than one type of transactions to bring out the specific business results in one or more business functions.
Correct Answer: Option B — Application processing
Detailed Academic Explanation:
Application processing is the correct answer to “. . . . . . . . processing is designed to process more than one type of transactions to bring out the specific business results in one or more business functions.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 5 of 40
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Which of the following statement is correct about Electronic Business Technology?
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “Which of the following statement is correct about Electronic Business Technology”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 6 of 40
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How many degrees of freedom should be used to apply chi-square test statistic oil a contingency table, having 5 row and 4 columns?
Correct Answer: Option B — 12
Detailed Academic Explanation:
12 is the correct answer to “How many degrees of freedom should be used to apply chi-square test statistic oil a contingency table, having 5 row and 4 columns”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 7 of 40
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In Job order cost system the costs are assigned to the jobs passing through the plant and are accumulated by recording the basic job statistics on the
Correct Answer: Option A — Job card
Detailed Academic Explanation:
Job card is the correct answer to “In Job order cost system the costs are assigned to the jobs passing through the plant and are accumulated by recording the basic job statistics on the”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 8 of 40
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When the relationship is of quantitative nature, the appropriate statistical tool for discovering and measuring the relationship and expressing it, in brief formula is known as
Correct Answer: Option C — Average
Detailed Academic Explanation:
Average is the correct answer to “When the relationship is of quantitative nature, the appropriate statistical tool for discovering and measuring the relationship and expressing it, in brief formula is known as”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 9 of 40
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"The centre of interest in sampling theory is the development of criteria for assisting common sense or educated judgement concerning the magnitude of chance fluctuation in statistical ratios, averages and co-efficients." Who said?
Correct Answer: Option A — J. F. Kenny and E. S. Keeping
Detailed Academic Explanation:
J. F. Kenny and E. S. Keeping is the correct answer to “"The centre of interest in sampling theory is the development of criteria for assisting common sense or educated judgement concerning the magnitude of chance fluctuation in statistical ratios, averages and co-efficients." Who said”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 10 of 40
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It is often more important to find out what the relation actually is, in order to estimate or product one variable and the statistical technique appropriate to such a case is called
Correct Answer: Option A — Regression analysis
Detailed Academic Explanation:
Regression analysis is the correct answer to “It is often more important to find out what the relation actually is, in order to estimate or product one variable and the statistical technique appropriate to such a case is called”. This question is standard in competitive examination syllabi for Business Statistics.
$${\chi ^2} = \frac{{N{{\left[ {\left( {ad - bc} \right) - \frac{1}{2}N} \right]}^2}}}{{\left( {a + c} \right)\left( {b + d} \right)\left( {a + b} \right)\left( {c + d} \right)}}$$ is the correct answer to “Yaties correction of continuity is”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 12 of 40
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Which one among the following relates to the probability based sampling technique?
Correct Answer: Option C — Stratified sampling
Detailed Academic Explanation:
Stratified sampling is the correct answer to “Which one among the following relates to the probability based sampling technique”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 13 of 40
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Which of the following statements are true?
Correct Answer: Option D — Secondary data is least helpful in evaluating new products
Detailed Academic Explanation:
Secondary data is least helpful in evaluating new products is the correct answer to “Which of the following statements are true”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 14 of 40
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A hypothesis that asserts that there is no true differencein the sample and the population in the particular matter under study is termed as
Correct Answer: Option A — null hypothesis
Detailed Academic Explanation:
null hypothesis is the correct answer to “A hypothesis that asserts that there is no true differencein the sample and the population in the particular matter under study is termed as”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 15 of 40
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. . . . . . . . errors are made when the test rejects a hypothesis which is true?
Correct Answer: Option A — Type I
Detailed Academic Explanation:
Type I is the correct answer to “. . . . . . . . errors are made when the test rejects a hypothesis which is true”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 16 of 40
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Type of information includes
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “Type of information includes”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 17 of 40
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If the stock level ≤ then recorder level, then draw a purchase order of the quantity equal to the
Correct Answer: Option A — EOQ
Detailed Academic Explanation:
EOQ is the correct answer to “If the stock level ≤ then recorder level, then draw a purchase order of the quantity equal to the”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 18 of 40
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The structured systems analysis develops . . . . . . . . of the system
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “The structured systems analysis develops . . . . . . . . of the system”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 19 of 40
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Decision making using MIS is
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “Decision making using MIS is”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 20 of 40
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The . . . . . . . . that one of the several mutually exclusive events X 1 , X 2 , X 3 , . . . . . . . . , X n ; shall happen is the sum of the probabilities of the individual events.
Correct Answer: Option C — probability
Detailed Academic Explanation:
probability is the correct answer to “The . . . . . . . . that one of the several mutually exclusive events X 1 , X 2 , X 3 , . . . . . . . . , X n ; shall happen is the sum of the probabilities of the individual events.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 21 of 40
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The initial implementation due to the technology limitation of distance was the departmental network popularly known as the
Correct Answer: Option B — Local area network
Detailed Academic Explanation:
Local area network is the correct answer to “The initial implementation due to the technology limitation of distance was the departmental network popularly known as the”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 22 of 40
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The advantages of sampling is
Correct Answer: Option B — Intensive study
Detailed Academic Explanation:
Intensive study is the correct answer to “The advantages of sampling is”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 23 of 40
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The most important factors causing seasonal variations are
Correct Answer: Option C — Weather and social customs
Detailed Academic Explanation:
Weather and social customs is the correct answer to “The most important factors causing seasonal variations are”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 24 of 40
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Samples which require respondents to provide the names of additional respondents having similar characteristics. Members of the population who are less known, disliked or whose opinions conflict with the respondent have a low probability of being selected the sampling is
Correct Answer: Option B — Snowball sampling
Detailed Academic Explanation:
Snowball sampling is the correct answer to “Samples which require respondents to provide the names of additional respondents having similar characteristics. Members of the population who are less known, disliked or whose opinions conflict with the respondent have a low probability of being selected the sampling is”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 25 of 40
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One tailed alternatives are phrased in terms of
Correct Answer: Option B — < or >
Detailed Academic Explanation:
< or > is the correct answer to “One tailed alternatives are phrased in terms of”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 26 of 40
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The options approved after the technical evaluation are tested on the
Correct Answer: Option B — Operational feasibility
Detailed Academic Explanation:
Operational feasibility is the correct answer to “The options approved after the technical evaluation are tested on the”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 27 of 40
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In a sample of 400 books 172 were Economics books. Estimate the population proportion at 95% confidence levels
Correct Answer: Option C — 47.86% to 38.14%
Detailed Academic Explanation:
47.86% to 38.14% is the correct answer to “In a sample of 400 books 172 were Economics books. Estimate the population proportion at 95% confidence levels”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 28 of 40
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The . . . . . . . . error of correlation is an amount which if added to and subtracted from the average correlation coefficient produces amounts within which the chances are even that a coefficient of correlation from a series error selected at random will fall.
Correct Answer: Option B — probable
Detailed Academic Explanation:
probable is the correct answer to “The . . . . . . . . error of correlation is an amount which if added to and subtracted from the average correlation coefficient produces amounts within which the chances are even that a coefficient of correlation from a series error selected at random will fall.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 29 of 40
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Given X value Y value 5 2 10 7 15 9 21 11 24 15 25 17 30 18 32 21 The above series is an example of
Correct Answer: Option A — Positive correlation
Detailed Academic Explanation:
Positive correlation is the correct answer to “Given X value Y value 5 2 10 7 15 9 21 11 24 15 25 17 30 18 32 21 The above series is an example of”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 30 of 40
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When a researcher want to select a representative sample to asses different parameters from a large sized finite heterogeneous population, which one of the following sampling techniques is the most appropriate?
Correct Answer: Option C — Stratified random sampling
Detailed Academic Explanation:
Stratified random sampling is the correct answer to “When a researcher want to select a representative sample to asses different parameters from a large sized finite heterogeneous population, which one of the following sampling techniques is the most appropriate”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 31 of 40
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What will be the probability that one is king and other is queen?
Correct Answer: Option A — $$\frac{2}{{169}},\,\frac{2}{{663}}$$
Detailed Academic Explanation:
$$\frac{2}{{169}},\,\frac{2}{{663}}$$ is the correct answer to “What will be the probability that one is king and other is queen”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 32 of 40
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Given This is a . . . . . . . . figure.
Correct Answer: Option A — System Engineering Scope
Detailed Academic Explanation:
System Engineering Scope is the correct answer to “Given This is a . . . . . . . . figure.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 33 of 40
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A bag contains 4 white, 2 black, 3 yellow and 3 red balls. What is the probability of getting a white or red ball at random in a single draw of one?
Correct Answer: Option B — 58.3%
Detailed Academic Explanation:
58.3% is the correct answer to “A bag contains 4 white, 2 black, 3 yellow and 3 red balls. What is the probability of getting a white or red ball at random in a single draw of one”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 34 of 40
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Frequency distribution includes
Correct Answer: Option D — All of these
Detailed Academic Explanation:
All of these is the correct answer to “Frequency distribution includes”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 35 of 40
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t is
Correct Answer: Option A — Small test
Detailed Academic Explanation:
Option "Small test" is the correct answer for this question under Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 36 of 40
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Match the following List-I (Outcome State) List-II (Explanation) a. Certainty 1. Multiple outcomes for each alternative can be identified, but there is no knowledge of the probability to be attached to each. b. Risk 2. Complete and accurate knowledge of the outcome of each alternative. There is only one outcome for each alternative. c. Uncertainty 3. Multiple possible outcomes of each alternative can be identified, and a probability of occurrence can be attached to each.
Correct Answer: Option C — a-2, b-3, c-1
Detailed Academic Explanation:
a-2, b-3, c-1 is the correct answer to “Match the following List-I (Outcome State) List-II (Explanation) a. Certainty 1. Multiple outcomes for each alternative can be identified, but there is no knowledge of the probability to be attached to each. b. Risk 2. Complete and accurate knowledge of the outcome of each alternative. There is only one outcome for each alternative. c. Uncertainty 3. Multiple possible outcomes of each alternative can be identified, and a probability of occurrence can be attached to each.”. This question is standard in competitive examination syllabi for Business Statistics.
$${\chi ^2} = \frac{{\sum {{\left( {O - E} \right)}^2}}}{E}$$ is the correct answer to “$${\chi ^2}$$ computed by”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 38 of 40
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Addition theorem states that if two events A and B are mutually exclusive the probability of occurrence of either A or B is given by
Correct Answer: Option A — P(A) + P(B)
Detailed Academic Explanation:
P(A) + P(B) is the correct answer to “Addition theorem states that if two events A and B are mutually exclusive the probability of occurrence of either A or B is given by”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 39 of 40
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Given 1. One-to-one 2. One-to-many 3. Many-to-many The above relation indicates to the
Correct Answer: Option A — E-R diagram
Detailed Academic Explanation:
E-R diagram is the correct answer to “Given 1. One-to-one 2. One-to-many 3. Many-to-many The above relation indicates to the”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 40 of 40
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Binomial distribution was developed by
Correct Answer: Option C — Jacob Bernoulli
Detailed Academic Explanation:
Jacob Bernoulli is the correct answer to “Binomial distribution was developed by”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
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Business Communication — Part 1
Master the next curriculum module with 40 exam-standard MCQs.
In competitive commission exams (FPSC, PPSC, KPPSC, SPSC, CSS, PMS), questions are frequently phrased with distractor options designed to catch rote learners. Whenever you answer an MCQ, read the Detailed Academic Explanation and Conceptual Anchor to understand why the remaining options are incorrect.