Right-Skewed Histogram

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:

55, 58, 56, 55, 56, 57, 55, 58, 55, 57, 55, 57, 56, 59, 56

When we sketched the histogram with the above data, we found it skewed to the right. The above figure is an example of a right-skewed histogram.

Mean, Median, and Mode of Right-Skewed Histogram

Let us calculate the mean, median, and mode of the above given data concerning the height of plants (in feet) in an area:

55, 58, 56, 55, 56, 57, 55, 58, 55, 57, 55, 57, 56, 59, 56

To find the mean, median, and mode of the above data, we will arrange the above data:

55, 55, 55, 55, 55, 56, 56, 56, 56, 57, 57, 57, 58, 58, 59

Calculating the median, median, and mode, we get

• Mean = 56.33 feet
• Median = 56 feet
• Mode = 55 feet

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:

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