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-3

Chi-square is to be applied only, when the individual observations of sample are

A) dependent B) independent C) Both A and B D) Neither A nor B

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Answer: Option B

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If sum of the product of deviations of x and y series from their means, i.e., Σxy is zero, the coefficient of correlation shall be

A) +1 B) 0 C) -1 D) None of these

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Answer: Option B

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Consider the following statements.
Assertion (A): A reasonably sized sample drawn randomly from large sized population contains almost all the characteristics which exist in the population.
Reason (R): The theory of sampling is based on the two important laws of statistics, viz., Law of statistical regularity and law of inertia of large numbers.

A) Both (A) and (R) are correct and (R) is the complete explanation of (A) B) Both (A) and (R) are correct, but (R) is not the complete explanation of (A) C) (A) is not correct, while (R) is correct D) Both (A) and (R) are not correct

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Answer: Option A

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Probable error in statistics is obtained by

A) $$\frac{{1 - {r^2}}}{{\sqrt N }}$$ B) $$0.6475\frac{{1 - {r^2}}}{{\sqrt N }}$$ C) $$0.6745\frac{{1 - {r^2}}}{{\sqrt N }}$$ D) $$0.6475\frac{{1 - {r^3}}}{{\sqrt N }}$$

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Answer: Option C

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When a researcher uses a telephone directory to select the respondents for a opinion poll, he is following . . . . . . . .

A) sequential sampling B) convenience sampling C) judgement sampling D) None of these

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Answer: Option B

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Study the following information:
Covariance between X and Y series = -17.8
Standard deviation of X series = 6.6
Standard deviation of Y series = 4.2
Number of pairs of observation = 20
The coefficient of correlation is

A) -0.642 B) 0.642 C) 0.253 D) -0.253

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Answer: Option A

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Coefficient of quartile deviation is calculated by

A) $$\frac{{{Q_3} - {Q_1}}}{4}$$ B) $$\frac{{{Q_3} + {Q_1}}}{2}$$ C) $$\frac{{{Q_3} + {Q_1}}}{{{Q_3} - {Q_1}}}$$ D) $$\frac{{{Q_3} - {Q_1}}}{{{Q_3} + {Q_1}}}$$

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Answer: Option D

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Choose the correct answer for the following statements being correct or incorrect.
Statement I If the value of $${\beta _2}$$ i.e. $$\frac{{{\mu _4}}}{{{\sigma _4}}},$$ of a distribution gives the value more than 3, its curve is platykurtic.
Statement II In a moderately asymmetrical distribution, the standard deviation is 1.25 times of mean deviation.

A) Both the statements are correct B) Both the statements are incorrect C) Statement I is correct, but Statement II is incorrect D) Statement II is correct, but Statement I is incorrect

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Answer: Option D

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In a symmetric frequency distribution-

A) $$\overline X > M > Z$$ B) $$\overline X = M = Z$$ C) $$\overline X < M < Z$$ D) $$\overline X \leqslant M \leqslant Z$$

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Answer: Option B

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The less than and more than cumulative frequency plot should intersect at the . . . . . . . . of the data.

A) mean B) median C) mode D) All of these

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Answer: Option B

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