Which statements about density curves are true? Check all that apply.The mean of a density curve is indicated by x̄.The mean of a density curve is indicated by µ.The standard deviation of a density curve is indicated by σ.The standard deviation of a density curve is indicated by Sx.The density curve can be above and below the x-axis.
Answer
A
The mean of a density curve is indicated by x̄.
B
The mean of a density curve is indicated by µ.
C
The standard deviation of a density curve is indicated by σ.
D
The standard deviation of a density curve is indicated by Sx.
E
The density curve can be above and below the x-axis.
Explanation
A density curve describes a population distribution, so its mean is denoted by μ and its standard deviation by σ. The symbols x̄ and sₓ are typically used for a sample mean and sample standard deviation. A density curve cannot go below the x-axis because its values represent nonnegative density.
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