## Definition

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

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 measure 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-

- Quartiles
- Percentiles, etc.

### Properties of central tendency

The desired properties of a good measure of central tendency are

- 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.

**Advantages**

Some advantages are following

- More precise measure than measure of dispersion.
- Easy to calculate.
- Less time consuming and lower cost.

**Disadvantages**

The measure of central tendency doesn't work when outlier occure. That means this measure is affected by outlier.

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