A measure of central tendency is a typical value around which other figures congregate that attempts to describe a set of data by identifying the central position within that set of data.
As such, measures of central tendency are sometimes called measures of central location.
Types of measures of central tendency:
The most commonly used measure of central tendency are
1.Mean: Mean is the most common measure of central tendency. It is simply the sum of the numbers divided by the number of numbers in a set of data. This is also known as average.
If we have n values in a data set and they have values x1, x2, ..., xn, then the sample mean, usually denoted by (pronounced x bar), is:
3.Mode: Mode is the value that occurs most frequently in a set of data.
Examples of Measures of Central Tendency
For the data 1, 2, 3, 4, 5, 5, 6, 7, 8 the measures of central tendency are
Mean = (1+2+3+4+5+6+7+8)/8=4.56
Median = 5
Mode = 5
The mean can again be of three types
1. Arithmetic mean
2. Geometric mean
3. Harmonic mean
1. Arithmetic mean:
A mathematical representation of the typical value of a series of numbers, computed as the sum of all the numbers in the series divided by the count of all numbers in the series.
Arithmetic mean is commonly referred to as "average" or simply as "mean".