# What are the criteria for choosing measure of central tendency and measure of variation?

Central tendency is measured by using the mean, median and mode of a set of numbers. Variation is measured by using the range, variance and standard deviation of a set of numbers.

### Which is the most stable measure of central tendency?

Stability means that there will be less variation between random samples drawn on the same population. With categorical data, you may not have a choice, the mode is the only measure of central tendency that will be meaningful. With measureable, numerical data, the mean may be the only meaningful measure of central tendency, even though the median may show less variation. Some data may be assumed to have a skewed distribution, such as the price…