What does it mean if the mean and median of a data set differ greatly?

May 27, 2018

Significantly different results.

Explanation:

It means that the values of the set of data are very different to each other.

For example,

$1 , 3 , 25 , 96 , 364 , 9086$

$m e a n = 1 + 3 + 25 + 96 + 364 + \frac{9086}{6} \approx 1596$
$m e \mathrm{di} a n = 25 + \frac{96}{2} = 60.5$

Here you can see that the mean and the median of a set of data differ greatly.