Which of the following statements is true of a measure of dispersion?
Mean deviation does not follow algebraic value
Range is crudest measure
Coefficient of variation is a relative measure
All the above statements
The correct option is D All the above statements
deviation is the arithmetic average of the deviations of the observed values
from an average of the observed values. Since Mean deviation do not include negative value of the deviations. Therefore, it does not follow the algebraic value of the deviations.
defined as the difference between the highest(or largest ) and lowest(or
smallest) observed value in a series. It is the most simple and commonly
understandable measures of dispersion. Since it is the most affected measures of dispersion by the extreme values of the
series, it is regarded as the crudest measure.
Coefficient of variation is the coefficient of dispersion based on
the standard deviation of the statistical series.Therefore, Coefficient
of variation is a unit less or relative measure of dispersion as variation is
the absolute measure of dispersion.