Business Statistics and Research Methods MCQ Questions and Solutions with Explanations

Business Statistics and Research Methods MCQ Questions and Solutions with Explanations | Commerce

Business Statistics and Research Methods MCQ Questions and answers with easy and logical explanations. Commerce provides you all type of quantitative and competitive aptitude mcq questions with easy and logical explanations. Business Statistics and Research Methods MCQ is important for exams like B.COM, M.COM, BBA, BBM, CA, CS, CMA, CPA, CFA, UPSC, NET, Banking and other commerce department exam. Page-5 section-6

According to Baye's theorem, conditional probability is equal to

A) $$\frac{{P\left( {{E_i}} \right).P\left( {A/{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_i}} \right).P\left( {A/{E_i}} \right)} }}$$ B) $$\frac{{P\left( {A/{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_1}} \right).P\left( {A/{E_i}} \right)} }}$$ C) $$\frac{{P\left( {{E_i}/A} \right).P\left( {{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_i}} \right)} }}$$ D) $$\frac{{P\left( {{E_i}/A} \right)}}{{\sum\limits_{i = 1}^n {\left( {{E_i}} \right)} }}$$

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Answer: Option A

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If median = 54 and mean = 60, mode will be-

A) 40 B) 42 C) 44 D) None of the above

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Answer: Option B

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The fourth moment of Poisson Distribution is:

A) m + m B) m + 3m² C) m + 2m² D) 3m + 1

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Answer: Option B

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Arrange the following steps in sequence for finding the correlation between variable.
1. Determine the two variables 'X' and 'Y'.
2. Variables 'X' and 'Y' are plotted on X-axis and Y-axis in the XY-plane.
3. Then correlation is determined by seeing the scatter diagram.

A) 1, 2 and 3 B) 2, 3 and 1 C) 1, 3 and 2 D) 3, 2 and 1

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Answer: Option A

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If mean = 45, median = 48 and coefficient of skewness = -0.4, then the value of standard deviation will be

A) 20.5 B) 15.9 C) 22.5 D) 25.8

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Answer: Option C

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Which of the following characteristics a sampling unit must have?

A) Must cover the entire population B) Non-overlapping C) Distinct and unambiguous D) All of the above

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Answer: Option D

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In which of the following distributions successive trials are taken without replacement?

A) Normal distribution B) Binomial distribution C) Poisson distribution D) Both A and C

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Answer: Option B

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If median = 27 and mean = 30 then mode will be

A) 20 B) 21 C) 22 D) 23

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Answer: Option B

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Convert the annual trend equation "Y = 30 + 3.6x" into monthly trend equation

A) Y = 2.5 + 0.3x B) Y = 2.5 + 0.025x C) Y = 30 + 0.3x D) Y = 2.5 + 3.6x

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Answer: Option B

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According to an important research opinion, an alternative criterion for evaluating qualitative research would be:

A) tidiness B) trustworthiness C) impressiveness D) use of mathematics

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Answer: Option B

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