Weights of 50 teabags produced by a filler in 1 hour
This is an example data set for which an underlying normal population is a reasonable model — its histogram seems reasonably symmetric.
Drag the sliders to match the normal distn to the histogram as closely as possible.
(You could mention that most populations are not normal but are often approximately so, perhaps after a transformation.)
Also mention that normal distributions are more important as descriptions of sample means, proportions, ...
The data histogram shows the weights of 50 teabags that were filled by one machine in an hour. It is important to the company to both ensure that the average weight of the teabags is over the nominal 5.5 grams per bag and to ensure that the variability of the weights is as small as possible — customer satisfaction will be affected if there are badly underfilled teabags.