# Shouldn't Normal and T-Students' distributions be symmetric?

The polar bear example has a mean of 500 and outliers of 350 and 700 with the same probability. It feels not correct. Am I missing something?

1 answers ( 0 marked as helpful)

Hi Adam,

I don't think the distribution in the polar bear example is drawn to scale. The weights of 350 and 700 were just placed at either end to visually indicate that they are outliers in this example. We can also see that the 350 point was placed on what looks like the origin of the graph which further supports that it was not drawn to scale. You are correct though that if weights truly followed a normal distribution, we would expect the probabilities of being 350 and 700 to be different since they are different distances away from the mean (350 - 500 = -150 while 700 - 500 = 200). Hope this helps!