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Basic Question 14 of 23

Which of the following statements concerning the standard deviation is not true?

A. It is a measure of dispersion.
B. It is the square root of the variance.
C. Given a normal distribution, there is a 68% probability that an asset's return will be within 1 standard deviation of its mean.
D. It cannot take on values less than 1.

User Contributed Comments 4

User Comment
danlan Standard deviation is always positive but can be < 1.
surob ...but should be >=0
azramirza danlan..i think u got the opposite...what is not true...can not take on values less than ....implies it can...:))
michlam14 remember when there is no deviation from mean SD=0 for risk free portfolio
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Edward Liu

Learning Outcome Statements

calculate and interpret the mean, variance, and covariance (or correlation) of asset returns based on historical data

calculate and interpret portfolio standard deviation

describe the effect on a portfolio's risk of investing in assets that are less than perfectly correlated

CFA® 2024 Level I Curriculum, Volume 2, Module 1.