Which of the Following Statements Concerning the Standard Deviation Are

question 78

Multiple Choice

Which of the following statements concerning the standard deviation are correct?
I. The greater the standard deviation,the lower the risk.
II. The standard deviation is a measure of volatility.
III. The higher the standard deviation,the less certain the rate of return in any one given year.
IV. The higher the standard deviation,the higher the expected return.

• A) I and III only
• B) II, III, and IV only
• C) I, III, and IV only
• D) I, II, and III only
• E) I, II, III, and IV

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Definitions:

Even-numbered Roll

In probability, a term referring to the outcome of rolling a die where the result is an even number (e.g., 2, 4, or 6).

Perfectly Fair

A term typically used in the context of games or algorithms to describe a condition where all participants have an equal chance of winning or an outcome is unbiased.

10-sided Die

A polyhedral die with ten flat faces, typically used in board games, role-playing games, and probability exercises.

Six-sided Die

A common playing object used in games, featuring six faces numbered from 1 to 6.