Hi, could you please explain in further detail why the mean of a density curve is shifted to the direction of the skew?

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An example I like using is the mean age of a kindergarten class.

let's say there are 10 children, all of age 6. the mean age is 6.

now comes a granny, who never went to kindergarten, she wants to experience it. her age is 60.

what's the mean age now? 120/11 = close to 11 years.

what's the median age? still 6. 

so mean shifts towards outliers.