# Statistics – Mean Deviation

Lessson 55

Referred to as average deviation, it is defined as the sum of the deviations(ignoring signs) from an average divided by the number of items in a distribution The average can be mean, median or mode. Theoretically median is d best average of choice because sum of deviations from median is minimum, provided signs are ignored. However, practically speaking, arithmetic mean is the most commonly used average for calculating mean deviation and is denoted by the symbol MDMD.

We’re going to discuss methods to compute the **Mean Deviation** for three types of series:

## Individual Data Series

When data is given on individual basis. Following is an example of individual series:

Items | 5 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
---|

## Discrete Data Series

When data is given alongwith their frequencies. Following is an example of discrete series:

Items | 5 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
---|---|---|---|---|---|---|---|---|

Frequency | 2 | 5 | 1 | 3 | 12 | 0 | 5 | 7 |

## Continuous Data Series

When data is given based on ranges alongwith their frequencies. Following is an example of continous series:

Items | 0-5 | 5-10 | 10-20 | 20-30 | 30-40 |
---|---|---|---|---|---|

Frequency | 2 | 5 | 1 | 3 | 12 |