The income of a sample has been measured in dollars per year.Which of the following would be the preferred measure the dispersion for this variable? The
A)index of qualitative variation.
B)average deviation.
C)quartile deviation.
D)standard deviation.

Question

Quizplus · Accepted Answer

The standard deviation is the preferred measure of dispersion for a variable measured in dollars per year because it is the most commonly used and provides the most useful information about the spread of the data. It also allows for easy comparison between different data sets and can be used in many statistical calculations. The other options, such as the index of qualitative variation or quartile deviation, are not as commonly used and are better suited for categorical or ordinal data rather than continuous numerical data. The average deviation may also be useful, but it is generally less preferred than the standard deviation because it does not take into account the squared differences from the mean.

The Income of a Sample Has Been Measured in Dollars