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Reading 7: Statistical Concepts and Market Returns - LOS f

9Given the following annual returns, what is the range?

2000

2001

2002

2003

2004

15%

2%

5%

(7%)

0%

A)  22.0%.

B)   15.0%.

C)   (7.0)%.

D)   3.0%.

10For the past three years, Acme Corp. has generated the following sample returns on equity (ROE): 4 percent, 10 percent, and 1 percent. What is the sample variance of the ROE over the last three years?

A)   4.6%.

B)   21.0(%2).

C)   5.0(%2).

D)   21.0%.

11Given the following annual returns, what are the population variance and standard deviation, respectively?

2000

2001

2002

2003

2004

 

15%

2%

5%

-7%

0%.

 

 

 

Population Variance

Standard Deviation

 

A)              32.4                                5.7

B)              22.0                                4.7

C)              51.6                                7.2

D)               64.5                              8.0

12When creating intervals around the mean to indicate the dispersion of outcomes, which of the following measures is the most useful? The

A)   variance.

B)   median.

C)   standard deviation.

D)   mode.

答案和详解如下:

9Given the following annual returns, what is the range?

2000

2001

2002

2003

2004

15%

2%

5%

(7%)

0%

A)  22.0%.

B)   15.0%.

C)   (7.0)%.

D)   3.0%.

The correct answer was A)

Range = Highest Value – Lowest Value. 15% - (7%) = 22.0%.

10For the past three years, Acme Corp. has generated the following sample returns on equity (ROE): 4 percent, 10 percent, and 1 percent. What is the sample variance of the ROE over the last three years?

A)   4.6%.

B)   21.0(%2).

C)   5.0(%2).

D)   21.0%.

The correct answer was B)

[(4 - 5)2 + (10 - 5)2 + (1 - 5)2] / (3 - 1) = 21(%2).

11Given the following annual returns, what are the population variance and standard deviation, respectively?

2000

2001

2002

2003

2004

 

15%

2%

5%

-7%

0%.

 

 

 

Population Variance

Standard Deviation

 

A)              32.4                                5.7

B)              22.0                                4.7

C)              51.6                                7.2

D)               64.5                              8.0

The correct answer was C)

The population variance is found by taking the mean of all squared deviations from the mea

[ (15-3)2 + (2-3)2 + (5-3)2 + (-7-3)2 + (0-3)2 ] / 5 = 51.6

The population standard deviation is found by taking the square root of the population variance.

51.61/2 = 7.2

12When creating intervals around the mean to indicate the dispersion of outcomes, which of the following measures is the most useful? The

A)   variance.

B)   median.

C)   standard deviation.

D)   mode.

The correct answer was C)

The standard deviation is more useful than the variance because the standard deviation is in the same units as the mean. The median and mode do not help in creating intervals around the mean.

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