Range and Mean Absolute Deviation

We will now look at the different types of measures of dispersion.

Range

Range is calculated as the difference between the highest value and the lowest value.

Range = Highest Value – Lowest Value

Refer to our data set:

1.2, 1.5, 1.7, 2.3, 2.5, 2.9, 3, 3.8, 4.2, 4.3, 5.4, 5.5, 5.6, 5.9, 6.2, 6.7, 8.5, 8.8, 9.5, 9.8

The lowest value is 1.2 and the highest value is 9.8

The range will be given as:

Range = 9.8 – 1.2 = 8.6

Mean Absolute Deviation

Mean absolute deviation is calculated as the average of the absolute values of difference between each observation and the arithmetic mean.

Note that we take the absolute value of differences. So, any negative signs are ignored.

Let’s take the following data set of five values:

1.2, 1.5, 1.7, 2.3, 2.5

Both Range and Mean Absolute Deviation are not very commonly used measures are dispersion. We will now look at the more robust measures, namely, variance and standard deviation.