Measures of central tendency are numerical indices of statistical data that are generally indicative of the center, middle or representative of a data set.

### Definitions

It is a single value within the range of data which represents a group of individual values simply and concisely so that the mind can get a quick understanding of the general size of the individuals in the group. Since the value lies within the range of data, it is known as a measures of central tendency.

According to R.A. Fisher, “The inherent inability of a human to grasp in its entirely a large body of numerical data compels us to seek relatively few constants that will adequately describe the data”.

### Types of central tendency

There are several measures of central tendency. All this measures are collectively called statistical averages. The most commonly used averages are-

• Mean
• Median
• Mode

The Mean can be divided into three types-

And others are-
• Quartiles
• Percentiles, etc.

### Properties

The desired properties of a good measure are following,

• It should be based on all observations of an act of values.
• It should be rigorously defined.
• It should be easily computable.
• It should be least affected by extreme values.
• It should nucleate least from sample to sample drawn from the same population.