Business Statistics — Part 2 MCQs with Explanations
Practice high-yield Management Sciences MCQs on Business Statistics — Part 2 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
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🎉 Set complete! All 40 questions answered.
Question 1 of 40
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An experimenter tests the hypothesis that physical exercise helps people's mood (makes them happier). Subjects in the ex perimental group participate on Monday and Tuesday and those in the control an Wednesday and Thursday. What is the extraneous (confounding) variable?
Correct Answer: Option D — Day of the week
Detailed Academic Explanation:
Day of the week is the correct answer to “An experimenter tests the hypothesis that physical exercise helps people's mood (makes them happier). Subjects in the ex perimental group participate on Monday and Tuesday and those in the control an Wednesday and Thursday. What is the extraneous (confounding) variable”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 2 of 40
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Which of the following measures of central tendency is used when the data changes over a period of time?
Correct Answer: Option C — Geometric Mean
Detailed Academic Explanation:
Geometric Mean is the correct answer to “Which of the following measures of central tendency is used when the data changes over a period of time”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 3 of 40
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Bessel's correction's
Correct Answer: Option A — $$\frac{N}{{N - 1}}$$
Detailed Academic Explanation:
$$\frac{N}{{N - 1}}$$ is the correct answer to “Bessel's correction's”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 4 of 40
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Which of the folIowing represents primary data?
Correct Answer: Option A — A transcript from a group
Detailed Academic Explanation:
A transcript from a group is the correct answer to “Which of the folIowing represents primary data”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 5 of 40
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Match the following List-I (Types of system) List-II (Elements) a. Data processing 1. Sales b. Transaction 2. Process processing management c. Functional system 3. Focus on computing d. Integrated 4. Transaction execution
Correct Answer: Option B — a-3, b-4, c-1, d-2
Detailed Academic Explanation:
a-3, b-4, c-1, d-2 is the correct answer to “Match the following List-I (Types of system) List-II (Elements) a. Data processing 1. Sales b. Transaction 2. Process processing management c. Functional system 3. Focus on computing d. Integrated 4. Transaction execution”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 6 of 40
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Given What will be AB in above diagram as per probability theory?
Correct Answer: Option B — Compound events
Detailed Academic Explanation:
Compound events is the correct answer to “Given What will be AB in above diagram as per probability theory”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 7 of 40
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Suppose that in a box of 80 bulbs packed, the mean number of defects per box is 0.3. What percent of bulbs will have no mistake?
Correct Answer: Option B — 74%
Detailed Academic Explanation:
74% is the correct answer to “Suppose that in a box of 80 bulbs packed, the mean number of defects per box is 0.3. What percent of bulbs will have no mistake”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 8 of 40
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Which of the following is possible in a chi-square goodness of fit test?
Correct Answer: Option D — The degree of freedom are larger than the number of categories
Detailed Academic Explanation:
The degree of freedom are larger than the number of categories is the correct answer to “Which of the following is possible in a chi-square goodness of fit test”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 9 of 40
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If a decision can be based on a rule, method or even guidelines it is called
Correct Answer: Option A — Programmed decision
Detailed Academic Explanation:
Programmed decision is the correct answer to “If a decision can be based on a rule, method or even guidelines it is called”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 10 of 40
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Which one is not objective of MIS
Correct Answer: Option C — to test hypothesis related with popula tion mean
Detailed Academic Explanation:
to test hypothesis related with popula tion mean is the correct answer to “Which one is not objective of MIS”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 11 of 40
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Information technology strategic decision includes
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “Information technology strategic decision includes”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 12 of 40
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The transaction is processed for
Correct Answer: Option A — Adherence to business rules, correctness and consistency of data value and for validity of transaction for acceptance
Detailed Academic Explanation:
Adherence to business rules, correctness and consistency of data value and for validity of transaction for acceptance is the correct answer to “The transaction is processed for”. 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 is/are not the basic feature of ERP?
Correct Answer: Option C — Auditing
Detailed Academic Explanation:
Auditing is the correct answer to “Which of the following is/are not the basic feature of ERP”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 14 of 40
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Which of the following is a probability method?
Correct Answer: Option C — Simple random
Detailed Academic Explanation:
Simple random is the correct answer to “Which of the following is a probability method”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 15 of 40
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Which of the following is/are part of decision support system?
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “Which of the following is/are part of decision support system”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 16 of 40
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If A and B are mutually exclusive events P(AB) =
Correct Answer: Option B — zero
Detailed Academic Explanation:
zero is the correct answer to “If A and B are mutually exclusive events P(AB) =”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 17 of 40
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Given, $${\sum _y} = {N_a} + b{\sum _y}$$ the above is a
Correct Answer: Option C — regression equation
Detailed Academic Explanation:
regression equation is the correct answer to “Given, $${\sum _y} = {N_a} + b{\sum _y}$$ the above is a”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 18 of 40
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Validation testing is taken up when the
Correct Answer: Option A — Data is communicated
Detailed Academic Explanation:
Data is communicated is the correct answer to “Validation testing is taken up when the”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 19 of 40
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The decision criterion in which a decision maker selects an alternative that maximises H (criterion of realism) = [a × (maximum in column)] + [(1- a) × (minimum in column)] is called
Correct Answer: Option B — Hurwicz criterion
Detailed Academic Explanation:
Hurwicz criterion is the correct answer to “The decision criterion in which a decision maker selects an alternative that maximises H (criterion of realism) = [a × (maximum in column)] + [(1- a) × (minimum in column)] is called”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 20 of 40
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Probability density function gives the rate at which the . . . . . . . . would accumulate if we were to sweep from left to right on the axis of the value of continuous random variable.
Correct Answer: Option A — Probability
Detailed Academic Explanation:
Probability is the correct answer to “Probability density function gives the rate at which the . . . . . . . . would accumulate if we were to sweep from left to right on the axis of the value of continuous random variable.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 21 of 40
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Correlation is said to be linear and non-linear if
Correct Answer: Option B — The ratio of change between the variables is constant and change in one variable is equal to the percentage change in other variable respectively
Detailed Academic Explanation:
The ratio of change between the variables is constant and change in one variable is equal to the percentage change in other variable respectively is the correct answer to “Correlation is said to be linear and non-linear if”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 22 of 40
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Which of the following can be used to determine correlation?
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “Which of the following can be used to determine correlation”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 23 of 40
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About normal distribution the correct statement is
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “About normal distribution the correct statement is”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 24 of 40
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For t-test the assumptions is
Correct Answer: Option A — Parent population is normal in nature
Detailed Academic Explanation:
Parent population is normal in nature is the correct answer to “For t-test the assumptions 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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MIS feasibility study does not include . . . . . . . . feasibility.
Correct Answer: Option B — mechanical
Detailed Academic Explanation:
mechanical is the correct answer to “MIS feasibility study does not include . . . . . . . . feasibility.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 26 of 40
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Find the probability that in a family of 4 children there will be at least one boy. Assume that the probability of a male birth is $$\frac{1}{2}$$.
Correct Answer: Option A — $$\frac{{15}}{{16}}$$
Detailed Academic Explanation:
$$\frac{{15}}{{16}}$$ is the correct answer to “Find the probability that in a family of 4 children there will be at least one boy. Assume that the probability of a male birth is $$\frac{1}{2}$$.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 27 of 40
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. . . . . . . . errors are made when we accept a null hypothesis which is not true.
Correct Answer: Option A — Type II
Detailed Academic Explanation:
Type II is the correct answer to “. . . . . . . . errors are made when we accept a null hypothesis which is not true.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 28 of 40
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. . . . . . . . is a process of transporting the data from one location to the other
Correct Answer: Option B — Network topology
Detailed Academic Explanation:
Network topology is the correct answer to “. . . . . . . . is a process of transporting the data from one location to the other”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 29 of 40
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Six dice are thrown 729 times. How many times do you expect the dice to show five or six?
Correct Answer: Option C — 233
Detailed Academic Explanation:
233 is the correct answer to “Six dice are thrown 729 times. How many times do you expect the dice to show five or six”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 30 of 40
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You are given the following information about advertising expenditure and sales. Advertisement (X) Sales (Y) (Rs. in lakh) Arithmetic Mean 10 90 Standard Deviation 3 12 Correlation coefficient between advertising expenditure and sales 0.80. What is the likely sales for advertising budget of Rs. 15 lakh?
Correct Answer: Option B — Rs. 106 lakh
Detailed Academic Explanation:
Rs. 106 lakh is the correct answer to “You are given the following information about advertising expenditure and sales. Advertisement (X) Sales (Y) (Rs. in lakh) Arithmetic Mean 10 90 Standard Deviation 3 12 Correlation coefficient between advertising expenditure and sales 0.80. What is the likely sales for advertising budget of Rs. 15 lakh”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 31 of 40
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From a well shuffled pack of 52 cards a card is selected at random. Find the probability that it is a black coloured card
Correct Answer: Option A — $$\frac{1}{2}$$
Detailed Academic Explanation:
$$\frac{1}{2}$$ is the correct answer to “From a well shuffled pack of 52 cards a card is selected at random. Find the probability that it is a black coloured card”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 32 of 40
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Management information system plan includes
Correct Answer: Option D — All of the above
Detailed Academic Explanation:
All of the above is the correct answer to “Management information system plan includes”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 33 of 40
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In two large populations there are 35 and 30 per cent of fair haired people. Will the differ ence disappear at 5% level of significance, if samples of 1500 and 1000 are respectively taken from the two populations?
Correct Answer: Option A — Difference is significant
Detailed Academic Explanation:
Difference is significant is the correct answer to “In two large populations there are 35 and 30 per cent of fair haired people. Will the differ ence disappear at 5% level of significance, if samples of 1500 and 1000 are respectively taken from the two populations”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 34 of 40
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Given, N = 15, $$\overline {\text{X}} $$ = 25, $$\overline {\text{Y}} $$ = 18, $$\sum $$d 2 x = 136, $$\sum $$d 2 y = 138, $$\sum $$dxdy = 122. Calculate the correlation coefficient.
Correct Answer: Option B — 0.89
Detailed Academic Explanation:
0.89 is the correct answer to “Given, N = 15, $$\overline {\text{X}} $$ = 25, $$\overline {\text{Y}} $$ = 18, $$\sum $$d 2 x = 136, $$\sum $$d 2 y = 138, $$\sum $$dxdy = 122. Calculate the correlation coefficient.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 35 of 40
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A coin is tossed 1000 times and head comes out 550 times. Can the deviation from expected value be due to fluctuations of simple sampling?
Correct Answer: Option B — Cannot be
Detailed Academic Explanation:
Cannot be is the correct answer to “A coin is tossed 1000 times and head comes out 550 times. Can the deviation from expected value be due to fluctuations of simple sampling”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 36 of 40
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Probability is the ratio of favourable events to the . . . . . . . . of equally likely events.
Correct Answer: Option A — Total number of equally
Detailed Academic Explanation:
Total number of equally is the correct answer to “Probability is the ratio of favourable events to the . . . . . . . . of equally likely events.”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 37 of 40
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Distributions which are not obtained by actual observations but are reduced mathematically under certain definite hypothesis or assumptions are called
Correct Answer: Option A — Theoretical Frequency Distribution
Detailed Academic Explanation:
Theoretical Frequency Distribution is the correct answer to “Distributions which are not obtained by actual observations but are reduced mathematically under certain definite hypothesis or assumptions are called”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 38 of 40
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When coefficient of skewness is zero the distribution is
Correct Answer: Option C — Symmetrical
Detailed Academic Explanation:
Symmetrical is the correct answer to “When coefficient of skewness is zero the distribution is”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 39 of 40
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Standard error of mean computed by
Correct Answer: Option A — $$\frac{{{\text{Standard deviation of the sample}}}}{{\sqrt {{\text{Sample size}}} }}$$
Detailed Academic Explanation:
$$\frac{{{\text{Standard deviation of the sample}}}}{{\sqrt {{\text{Sample size}}} }}$$ is the correct answer to “Standard error of mean computed by”. This question is standard in competitive examination syllabi for Business Statistics.
💡Key Conceptual Anchor:Business Statistics
Question 40 of 40
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Which of the following application does not belong to Poisson distribution
Correct Answer: Option C — Departure pattern in a departmental store
Detailed Academic Explanation:
Departure pattern in a departmental store is the correct answer to “Which of the following application does not belong to Poisson distribution”. 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.