## Statistics

# Mean Deviation

- If x
_{1}, x_{2}, ....... x_{n}are the n-values of x, then mean deviation = \tt \frac{\sum_{i = 1}^{n}|x_i - M|}{n}

where M = Mean (or) Median (or) Mode - If x
_{1}, x_{2}, ....... x_{n}are the n-values of x and its corresponding frequencies are f_{1}, f_{2}, ....... f_{n}. Then mean Deviation \tt \frac{\sum_{i = 1}^{n} f_i |x_i - M|}{n}

Where N = Σ f_{i}M = Mean (or) Median (or) Mode - Coefficient of Mean Deviation = \tt \frac{Mean \ deviation}{M}

where M = Mean (or) Median (or) Mode

### View the Topic in this video From 29:25 To 53:48

Disclaimer: Compete.etutor.co may from time to time provide links to third party Internet sites under their respective fair use policy and it may from time to time provide materials from such third parties on this website. These third party sites and any third party materials are provided for viewers convenience and for non-commercial educational purpose only. Compete does not operate or control in any respect any information, products or services available on these third party sites. Compete.etutor.co makes no representations whatsoever concerning the content of these sites and the fact that compete.etutor.co has provided a link to such sites is NOT an endorsement, authorization, sponsorship, or affiliation by compete.etutor.co with respect to such sites, its services, the products displayed, its owners, or its providers.

1. Mean deviation for ungrouped data

M.D.(\overline{x})=\frac{\sum|x_{i}-\overline{x}|}{n}, \ \ \ M.D.(M) = \frac{\sum|x_{i}-M|}{n}

2. Mean deviation for grouped data

M.D.(\overline{x})=\frac{\sum f_{i}|x_{i}-\overline{x}|}{N}, \ \ \ M.D.(M) = \frac{\sum f_{i}|x_{i}-M|}{N}, where N=\sum f_i