Use mean and standard deviation to fit normal distributions and estimate population percentages with technology.
Decide whether a normal model is appropriate for a quantitative data set
Problem
A histogram is roughly symmetric and single-peaked with no extreme outliers. Assess whether a normal model may be appropriate and justify the assessment.
Big Picture
What this problem is really about
Judge a normal model by the distribution's overall shape and context, not by demanding perfect agreement. A roughly symmetric, single-mound quantitative distribution without strong outliers passes the main visual checks for a reasonable normal approximation. The conclusion should remain qualified: these features make the model plausible, not required or proven exact.
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