All MCQs for Competitive Exams

911

What is the standard deviation if all values in a dataset are identical (e.g., 8, 8, 8)?

A

14

B

5

C

0

D

16

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912

Given a mean of 25 observations is 40 and the Coefficient of Variation (CV) is 20%, what is the Standard Deviation (SD)?

A

6

B

4

C

2

D

8

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913

What is the correct mathematical formula for calculating the coefficient of variation?

A

$$\frac{{100\,\sigma }}{{\overline X }}$$

B

$$\frac{\sigma }{{100\,\overline X }}$$

C

$$\frac{{\sigma \,\overline X }}{{100}}$$

D

$$\frac{{100\,\overline X }}{\sigma }$$

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914

Calculate the standard deviation of a distribution given a mean of 100 and a coefficient of variation of 35%.

A

2.86

B

3.5

C

0.35

D

35

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915

In a normal distribution, if the fourth central moment (μ4) is 4, what is the value of the kurtosis coefficient (β2)?

A

0

B

4

C

3

D

2

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916

What term describes frequency distribution curves that are highly peaked with a kurtosis value (β2) greater than 3?

A

Mesokurtic

B

Leptokurtic

C

Platykurtic

D

All of these

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917

Given the third quartile (Q3) is 33 and the first quartile (Q1) is 24, what is the estimated standard deviation (SD)?

A

4.5

B

6.75

C

3.6

D

3

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918

What is the mathematical formula for the second moment about the mean?

A

$$\frac{{\sum {{\left( {{\text{X}} - {\text{x}}} \right)}^2}}}{{\text{N}}}$$

B

$$\frac{{\sum {{\left( {{\text{X}} + {\text{x}}} \right)}^2}}}{{\text{X}}}$$

C

$$\frac{{\sum {{\left( {{\text{X}} + {\text{x}}} \right)}^3}}}{{\text{N}}}$$

D

$$\frac{{\sum {{\left( {{\text{X}} - {\text{x}}} \right)}^3}}}{{\text{X}}}$$

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919

Calculate the variance for the dataset consisting of the values 12, 12, 12, 12, 12, and 12.

A

0

B

2

C

6

D

12

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920

Which measure of dispersion is calculated using every individual value in the dataset?

A

Range

B

None of these

C

Standard deviation

D

Quartile deviation

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