In the mean-standard deviation graph, which one of the following statements is true regarding the indifference curve of a risk-averse investor?

It connects portfolios that offer increasing utilities according to returns and standard deviations.

It is the locus of portfolios that have the same standard deviations and different rates of return.

It is irrelevant to making a decision of what portfolio would best suit the investor.

It is the locus of portfolios that offer the same utility according to returns and standard deviations.

It is the locus of portfolios that have the same expected rates of return and different standard deviations