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-1 section-11

Karl Pearson's coefficient of correlation between two variables x and y is equal to

A) covariance between two variables B) product of their standard deviation C) square root of the product of two regression coefficient D) None of the above

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Answer: Option D

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Fisher's ideal index is based on

A) arithmetic mean of Laspeyre's & Paasche's index B) median of Laspeyre's & Paasche's index C) geometric mean of Laspeyre's & Paasche's index D) None of the above

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Answer: Option C

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. . . . . . . . is particularly useful when we have to compute the mean of means.

A) Arithmetic mean B) Geometric mean C) Weighted arithmetic mean D) None of the above

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Answer: Option D

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For a positively skewed disttibution, mean is always:

A) Less than the median B) Less than the mode C) Greater than the mode D) Difficult to tell

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Answer: Option C

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It is helpful to use a multi-stage cluster sample when:

A) the population is widely dispersed geographically B) you have limited time and money available for travelling C) you want to use a probability sample in order to generalise the results D) all of the above

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Answer: Option D

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Systematic sampling is used for which of the following?
1. Quota sampling
2. Non-probability sampling
3. Probability sampling

A) Both 1 and 2 B) Both 2 and 3 C) Only 2 D) Only 3

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Answer: Option D

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The first measure of dispersion is called-

A) arithmetic mean B) mean deviation C) standard deviation D) quartile deviation

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Answer: Option B

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Let A and B be two events such that the occurrence of A implies occurrence of B, but not vice-versa, then the correct relation between P(A) and P(B) is:

A) P(A) < P(B) B) P(B) ≥ P(A) C) P(A) = P(B) D) P(A) ≥ P(B)

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Answer: Option B

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In a general class interval, margin of error is equal to

A) $$m = Z_{1 - \frac{\alpha }{2}}^2.\frac{\sigma }{{\sqrt n }}$$ B) $$m = Z_{1 - \frac{\alpha }{2}}^2.\frac{{{\sigma ^2}}}{{\sqrt n }}$$ C) $$m = Z_{1 - \frac{\alpha }{2}}^2.\frac{\sigma }{n}$$ D) $$m = {z_{1 - \frac{\alpha }{2}}}.\frac{\sigma }{{\sqrt n }}$$

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Answer: Option A

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The value of the median of an even discrete series will be

A) $${\left[ {\frac{{n + 1}}{2}} \right]^{{\text{th}}}}{\text{value}}$$ B) $${\left[ {\frac{n}{2}} \right]^{{\text{th}}}}{\text{value}}$$ C) $${5^{{\text{th}}}}{\text{ value}}$$ D) $${\left[ {\frac{{n + 1}}{4}} \right]^{{\text{th}}}}{\text{value}}$$

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Answer: Option A

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