Business Statistics and Research Methods MCQ Questions and Solutions with Explanations

Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Section 8 Section 9 Section 10 Section 11 Section 12

31.
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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32.
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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33.
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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34.
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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35.
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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36.
Alternative hypothesis is expressed by:

A. Q₁

B. P₀

C. H₁

D. H₀

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37.
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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38.
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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39.
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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40.
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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1 2 3 4 5 6 7 8 9 10

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

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

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

Answer & Solution

32. Coefficient of variation is calculated by the formula:

Answer & Solution

33. The median can be found by

Answer & Solution

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

Answer & Solution

35. The sum of squared deviation is the least when taken from

Answer & Solution

36. Alternative hypothesis is expressed by:

Answer & Solution

Answer & Solution

38. The average speed of the train is calculated by

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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31.
The arithmetic mean of 10 items is 50. If each item is increased by 5, then new arithmetic mean would be

32.
Coefficient of variation is calculated by the formula:

33.
The median can be found by

34.
In the margin of error, terms $$n = \frac{{Z_{1 - \frac{\alpha }{2}}^2{p^ * }{q^ * }}}{{{m^2}}}$$ here, $${P^ * }$$ stands for

35.
The sum of squared deviation is the least when taken from

36.
Alternative hypothesis is expressed by:

38.
The average speed of the train is calculated by

39.
If Laspeyre's Index No. is 121 and Paasche's Index No. is 144 then Fisher's Index No. is

40.
If 'm' is the mean of a Poisson Distribution, the standard deviation is given by