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2008 CFA Level 1 - Sample 样题(3)-Q19

19If the observations in a dataset have different values, is the geometric mean for that dataset greater than that dataset's:

      harmonic mean?    arithmetic mean?

A.   No  No

B.    No  Yes

C.   Yes  No

D.   Yes  Yes

A. Answer A

B. Answer B

C. Answer C

D. Answer D

答案和详解如下:

19Correct answer is C

"Statistical Concepts and Market Returns," Richard A. Defusco, Dennis W. McLeavey, Jerald E. Pinto, and David E. Runkel

2008 Modular Level I, Vol. 1, pp. 268-272

Study Session 2-7-d

define, calculate, and interpret measures of central tendency, including the population mean, sample mean, arithmetic mean, weighted average or mean (including a portfolio return viewed as a weighted mean), geometric mean, harmonic mean, median, and mode

Unless all the observations in a dataset have the same value, the harmonic mean is less than the geometric mean, and the geometric mean is less than the arithmetic mean.

 

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