Use mean and standard deviation to fit normal distributions and estimate population percentages with technology.
Read normal mean and positive standard deviation separately
Problem
Heights follow \(X~~N(68~\text{inches},~3~\text{inches})\), with the second parameter representing standard deviation. State the mean, standard deviation, and variance with units.
Big Picture
What this problem is really about
Read location and spread as separate normal-model parameters. The mean locates the center, while the positive standard deviation measures a typical horizontal step in the original units. Variance is the square of the standard deviation, so both its numerical value and its measurement unit must be squared.
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