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Standard Deviation Intro

Note the data set of 15 points shown below. The length of either pink arrow is said to be the STANDARD DEVIATION of this data set. Mess around with this app below for a few minutes. Then answer the questions that follow.

Was it ever possible to get all 15 points INSIDE the two vertical boundary lines?

What happens when we cluster 13-14 of these points close together and leave the other 1-2 far away from this cluster?

Without Googling, what do you think the standard deviation of a data set tells us?

Quick (silent) demo