Which parameter is μX?

Which parameter is μX?

• A. Location parameter
• B. Dispersion parameter
• C. Shape parameter
• D. Scale parameter

Answer: (A)

The main idea is understanding what μX represents. μX denotes the mean (expected value) of X, which identifies the distribution’s center on the number line. That center is what shifts when you add a constant to X, so it’s a location parameter. It doesn’t describe how spread out X is (that’s dispersion, like standard deviation), nor the distribution’s shape (skewness or kurtosis), nor a scaling factor that changes the size of X. For a normal distribution, μX is the center of the bell curve and moves left or right with shifts in μ, while the spread is controlled by the dispersion parameter. Thus μX is a location parameter.

The main idea is understanding what μX represents. μX denotes the mean (expected value) of X, which identifies the distribution’s center on the number line. That center is what shifts when you add a constant to X, so it’s a location parameter. It doesn’t describe how spread out X is (that’s dispersion, like standard deviation), nor the distribution’s shape (skewness or kurtosis), nor a scaling factor that changes the size of X. For a normal distribution, μX is the center of the bell curve and moves left or right with shifts in μ, while the spread is controlled by the dispersion parameter. Thus μX is a location parameter.