A right-skewed histogram is a histogram in which most data falls to the right side of the graph’s peak. It is also known as the positively skewed histogram. Such graphs have long tails on the right side and a peak towards the left. It happens because, in the data set, the smaller values are found with higher frequency, and the larger values occur with comparatively lesser frequency.

Example

Let us draw and interpret a right-skewed histogram involving the height of trees in a region measured in feet. The variables are:

Thus, the relation between its mean, median, and mode is given by mean > median > mode. It can be more easily understood when we show the mean, median, and mode position in the above-prepared graph.

Left Histogram vs. Right Skewed Histogram

The key differences between a left and a right skewed histogram are given below:

Basis

Left-Skewed Histogram

Right-Skewed Histogram

1. Skewness

Skewed to the left

Skewed to the right

2. Position of the Peak

The peak of the graph is on the right of the median

The peak of the graph is on the left of the median

3. Relation between Mean, Median, and Mode

Mean < Median < Mode

Mean > Median > Mode

The diagram below shows the difference between a left and a right-skewed histogram.