In a normal distribution, we know that the mean and the standard deviation determine certain characteristics of the shape of our data, but how exactly?

Let’s do some exploration to find out!


Explore the interactive visualization by changing the values of the mean and standard deviation.

Look at how changing the values affects the “Percent of Values within +/- 1 Standard Deviation”.

What can you infer about the relationship between the mean, standard deviation, and the shape of a normal distribution?

What does it tell you about the percentage of values that are within one standard deviation of the mean?

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