CFA Practice Question

There are 985 practice questions for this topic.

CFA Practice Question

If one or more numbers in a data set are negative, which of the following is not always defined?

A. median
B. mode
C. geometric mean
Correct Answer: C

The geometric mean involves taking mathematical roots. These operations are not always defined to give real numbers when you are dealing with negative numbers.

A set of data can have more than one mode, or even no mode.

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
You need to log in first to add your comment.