# Central tendency.

Central tendency used to measure the average value of the data set. Following are measures of central tendency:

- Mode: It is defined as the most frequent number of the data set.
- Median: It is defined as the middle number or average number in ordered data set.
- Mean: It is defined as the sum of all values divided by the total number of values in data set.

**MODE**

It is most frequent occur value in the data set, there are possibility to have no mode, one more or more than one mode.

If there is need to find out the mode of data set, first of all you need to sort data categorically or numerically and then select the response that occur most frequently.

# Median

The median is the middle score for a set of data that has been arranged in order of magnitude. The median is less affected by outliers and skewed data. In order to calculate the median, suppose we have the data below: 65,55,89,56,35,14,56,55,87,45,92

We first need to rearrange that data into order of magnitude (smallest first): 14,35,45,55,55,**56,**56,65,87,89,92

Our median mark is the middle mark — in this case, 56. It is the middle mark because there are 5 scores before it and 5 scores after it. This works fine when you have an odd number of scores, but what happens when you have an even number of scores? What if you had only 10 scores? Well, you simply have to take the middle two scores and average the result. So, if we look at the example below:

65,55,89,56,35,14,56,55,87,45

We again rearrange that data into order of magnitude (smallest first):

14,35,45,55,**55,56,**56,65,87,89

Only now we have to take the 5th and 6th score in our data set and average them to get a median of 55.5.

# Mean

The *arithmetic mean* (or simply *mean*) of a list of numbers, is the sum of all of the numbers divided by the number of numbers. Similarly, the mean of a sample* x1,x2,….Xn, *usually denoted by X bar.

The measures of central tendency can be found using a formula or definition. Also, they can be identified using a frequency distribution graph. Note that for datasets that follow a normal distribution, the mean, median, and mode are located on the same spot on the graph.