The correct answer is option 'A': Scale.

Explanation:
When we talk about measures of dispersion, we are referring to statistical measures that describe how spread out or dispersed a set of data points are. These measures provide information about the variability or spread of the data. The measures of dispersion include range, variance, standard deviation, and mean deviation.

One of the factors that can affect the measures of dispersion is the scale of measurement. Scale refers to the units in which the data is measured. It can be nominal, ordinal, interval, or ratio.

- Nominal scale: This is the simplest form of measurement where data is categorized into distinct categories or groups. The scale does not have any inherent order or numerical value. For example, colors or categories like male/female.

- Ordinal scale: This scale allows data to be ranked or ordered based on some criteria. However, the differences between the categories are not necessarily equal. For example, ratings such as excellent, good, fair, poor.

- Interval scale: This scale has equal intervals between the categories, but there is no true zero point. For example, temperature measured in degrees Celsius or Fahrenheit. A change in the scale (e.g., from Celsius to Fahrenheit) would not affect the measures of dispersion.

- Ratio scale: This scale has equal intervals between the categories, and it also has a true zero point. For example, height, weight, or time. A change in the scale (e.g., from centimeters to inches) would affect the measures of dispersion.

When we change the scale of measurement, it can impact the measures of dispersion. This is because the units or intervals between the data points may change, leading to different values for range, variance, standard deviation, or mean deviation.

For example, let's consider a dataset of heights measured in centimeters. If we convert the scale to meters, the range, variance, standard deviation, and mean deviation will all be affected. The range will change from centimeters to meters, and the variance, standard deviation, and mean deviation will be divided by 100. This is because the change in scale affects the spread of the data and the units in which it is measured.

Therefore, it is important to consider the scale of measurement when interpreting and comparing measures of dispersion.