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The market capitalizations of 20 companies, in billions of dollars, are listed t

ID: 3060039 • Letter: T

Question

The market capitalizations of 20 companies, in billions of dollars, are listed to the right. Complete parts (a) and (b).

97.6

117.1

111.5

114.2

108.2

116.8

100.8

109.2

106.3

103.3

98.8

108.8

108.4

102.6

89.2

87.5

121.6

120.2

87.5

135.7

Calculate the mean and standard deviation of the market capitalization for this population of 20 companies.

The mean is    (Round to three decimal places as needed.)

.

The standard deviation is =

(Round to three decimal places as needed.)

b. Interpret the parameters calculated in (a). Choose the correct answer below.

A.

The standard deviation is small

as a portion of the mean. This indicates that the values are relatively spread out.spread out.

B.

The standard deviation is large

as a portion of the mean. This indicates that the values are relatively concentrated.concentrated.

C.

The standard deviation is large

as a portion of the mean. This indicates that the values are relatively spread out.spread out.

D.

The standard deviation is small

as a portion of the mean. This indicates that the values are relatively concentrated.concentrated.

Click to select your answer(s).

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

Hence,

a) = 107.265

= 11.824

b) Option D is correct.

Column Mean Unadj. std. dev. Data 107.265 11.824182