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Basic Question 4 of 12
If one or more numbers in a data set are negative, which of the following is not always defined?
B. harmonic mean
C. geometric mean
A. holding period return
B. harmonic mean
C. geometric mean
User Contributed Comments 4
| User | Comment |
|---|---|
| ReaClute | Ok, but the mode may also not be defined, and that could be true for a dataset of all positive numbers too - true? (The mode would not be defined, for instance, if there was only one incidence of each number in the dataset.) |
| tracy | The question asked which one is not ALWAYS defined. A geometric mean cannot be computed in this case but the mode may be, right? So C is the correct answer. |
| Ioannis | A single mode would not be defined, but multiple ones would, i.e. the distribution would be multimodal. |
| tschorsch | "not always defined" is NOT "never defined" it means "sometimes defined" C is the answer because sometimes you cannot calculate the root of a negative number resulting in real number value |
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Learning Outcome Statements
calculate and interpret different approaches to return measurement over time and describe their appropriate uses;
CFA® 2025 Level I Curriculum, Volume 1, Module 1.