The image below shows a distribution with positive skew or right skew.

F distribution with 3 and 30 degrees of freedom

The image below shows a distribution with negative skew or left skew.

F distribution with 3 and 30 degrees of freedom, reflected across the y-axis

Some people find these concepts counterintuitive, assuming that skew translates roughly to "where most of the values are." In fact, skew might be better described as "where the extreme values are."

In continuous probability density functions, interpreting skew can be complicated. In empirical social science, we usually talk about distributions of a finite number of observations; these are sometimes easier to describe because the "tails" do not extend outward to infinity.

Here is a histogram of a sample variable with a positive skew.

Square of a normally distributed random variable

Here is a histogram of a sample variable with a negative skew.

Natural log of a normally distributed random variable

With this relatively common kind of data, where there is one clear peak in the distribution and most of the extreme values fall on one side of the peak, it is easy to visualize the skew at a glance.

To help remember what positive and negative (or right and left) skew look like, students can look for the extreme values or imagine an arrow pointing in the direction of the skew.

Square of a normally distributed random variable, with an arrow pointing to the right

To some people, the long tail of the histogram looks a bit like an arrow pointing in the direction of the skew.

Natural log of a normally distributed random variable, with an arrow pointing to the left