Skew, median and mean

Skew

The graph shows the distribution of a random variable over the interval from 0 to 1.

The vertical line is the mean of the distribution.

The two coloured areas are the bottom 50% of the distribution and the top 50% of the distribution, so the border between them is the median.

Click on the graph to alter the distribution. The plot beneath it will show the skew of the resulting shape.

What does positive skew look like?

What does positive skew look like?

Where is order of mean, median and mode where the skew is negative?

Where is order of mean, median and mode where the skew is negative?

What is the effect on skewness of the overall height of the distribution?

What is the effect on skewness of the overall height of the distribution?

Click on a point, then click vertically higher or lower. What happens to the skew?