The normal distribution is symmetrical – small values
are as likely as large values. The probability distribution for the
normal distribution is symmetrical about the mean.
This is not the case for most distributions however. Most probability
distributions are unsymmetrical and some are extremely so. The two
graphs below are both positively skewed – the red one more so than
the right one. The skew is always on the side of the tale. Both of
the graphs below have long tales to the right. Notice the red
distribution has a longer tail – it is more skewed.
The graphs below have negative skew – red one more so than the blue one.