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-4 section-3

The arithmetic mean of 10 items is 50. If each item is increased by 5, then new arithmetic mean would be

A) 50 B) 55 C) 60 D) 45

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Answer: Option B

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Coefficient of variation is calculated by the formula:

A) $$\frac{{\overline x }}{\sigma } \times 100$$ B) $$\frac{\sigma }{x} \times 100$$ C) $$\frac{{\overline x }}{\sigma }$$ D) $$\frac{\sigma }{x}$$

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Answer: Option B

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The median can be found by

A) $$M = {\text{size of}}{\left( {\frac{{n + 1}}{2}} \right)^{{\text{th}}}}{\text{term}}$$ B) $$M = {l_1} + \frac{{{l_2} - {l_1}}}{f}\left( {m - c} \right)$$ C) Both of the above D) None of the above

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Answer: Option C

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In the margin of error, terms $$n = \frac{{Z_{1 - \frac{\alpha }{2}}^2{p^ * }{q^ * }}}{{{m^2}}}$$ here, $${P^ * }$$ stands for

A) guess of proportion B) probability of error C) population size D) None of these

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Answer: Option C

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The sum of squared deviation is the least when taken from

A) mode B) median C) arithmetic mean D) geometric mean

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Answer: Option C

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Alternative hypothesis is expressed by:

A) Q₁ B) P₀ C) H₁ D) H₀

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Answer: Option C

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Match the following.

List-I (Terms)	List-II (Explanations)
a. Unimodal	1. The distribution that can take a limited number of values which can be listed
b. Discrete probability distribution	2. The curve has a single peak
c. Continuous probability distribution	3. Where variable is allowed to take any value within given range

A) a-2, b-1, c-3 B) a-1, b-2, c-3 C) a-3, b-2, c-1 D) a-2, b-3, c-1

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Answer: Option A

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The average speed of the train is calculated by

A) by mean B) by median C) by mode D) by harmonic mean

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Answer: Option D

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If Laspeyre's Index No. is 121 and Paasche's Index No. is 144 then Fisher's Index No. is

A) 137.5 B) 213.5 C) 321 D) 132

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Answer: Option D

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If 'm' is the mean of a Poisson Distribution, the standard deviation is given by

A) √m B) m² C) m D) $$\frac{{\text{m}}}{2}$$

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Answer: Option A

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