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-12

Which of the following is an absolute measure of dispersion?

A) Coefficient of variation B) Coefficient of dispersion C) Standard deviation D) Coefficient of skewness

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Answer & Solution

Answer: Option C

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If both the regression coefficient of two series are negative, the coefficient of correlation should be

A) Positive B) Negative C) Zero D) None of the these

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Answer: Option B

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Which one of the following statement is false regarding normal distribution?

A) Mean, median and mode always coincide B) Within ±1.96σ limits from mean value, the area under the distribution is 99% of the total area C) The area under the normal curve represents probabilities for the normal random variable and the total area for the normal probability distribution is one D) For every pair of values of mean and standard deviation, the curve of the distribution is bell-shaped and symmetric

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Answer: Option B

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Geometric mean of 04 and 09 will be-

A) 8 B) 5 C) 6 D) 6.5

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Answer: Option C

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Which of these must always be avoided for a technical report?

A) Facts B) Tests C) Personal prejudices D) Experiments

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Answer: Option C

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The correlation coefficient of Karl Pearson is denoted by

A) r_n B) r C) r_c D) r_k

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Answer: Option B

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For calculating posterior probabilities (conditional probabilities under statistical dependence), the following information is available:-
(1) Conditional probabilities
(2) original probability estimates (prior-probabilities) of mutually exclusive and collectively exhaustive events
(3) Arbitrary event with probability ≠ 0 and for which conditional probabilities are also known
(4) Joint probabilities of prior probability and conditional probability
Given the information that the arbitrary event has occurred, arrange the above information in a sequence of their requirement as per Baye's Theorem

A) (1) → (2) → (4) → (3) B) (3) → (2) → (1) → (4) C) (3) → (3) → (4) → (1) D) (2) → (1) → (4) → (3)

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Answer: Option D

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The expected value of a random variable is the:

A) value that has the highest probability of occurring B) mean value over an infinite number of observations of the variable C) largest value that will everoccur D) most common value over an infinite number of observations of the variable

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Answer: Option B

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In a Poisson probability distribution:

A) the mean and variance of the distribution are the same (equal) B) the probability of success is alwaysgreater than 5 C) the number of trials is always less than 5 D) it always contains a contingency table

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Answer: Option A

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Standard error of estimate is obtained by the following formula.

A) $$\frac{{\sum {{\left( {Y - \overline Y } \right)}^2}}}{N}$$ B) $$\frac{{\sum {{\left( {Y - {Y_c}} \right)}^2}}}{N}$$ C) $$\sqrt {\frac{{\sum {{\left( {Y - {Y_c}} \right)}^2}}}{N}} $$ D) $$\sqrt {\frac{{\sum {{\left( {Y - \overline Y } \right)}^2}}}{N}} $$

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Answer: Option C

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