Box plots are box-and-whiskers plot. Basically, it represents a set of data by marking its five number summary: lowest, quartile 1, median, quartile 3, and highest. Moreover, it also shows a dotted connection to outliers.
See the link in the related links section below for an example of what it looks like.
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It's eaiser to see the outlier ( odd number) out of the data.
On a standard box-and-whisker plot, the averages used are medians. Arithmetic means are used in some box-and-whisker plots, but most use medians.
They are never used there is no point in learning about them. We have to because it is required in school. So learn it but you will never use it.
stem and leaf plots are used in math
cause they both plot something