# the sum of deviation of the …

the sum of deviation of the item from the arithematic mean is always zero

Yogita Ingle 1 month, 1 week ago

The sum of the deviations of a given set of observations from their arithmetic mean is always zero. It is due to the property that the arithmetic mean is characterised as the centre of gravity. i.e. sum of positive deviation from the mean is equal to the sum of negative deviations.

For example:

3,4,6,8,14

x  =  3+4+6+8+14  /5

​  =7

∑(x i −  x )=−8+8=0

Hence, the sum of the deviations about mean is 0.

Related Questions: ## myCBSEguide

Trusted by 1 Crore+ Students

#### CBSE Test Generator

Create papers in minutes

Print with your name & Logo

3 Lakhs+ Questions

Solutions Included

Based on CBSE Blueprint

Best fit for Schools & Tutors

#### Work from Home

• Work from home with us
• Create questions or review them from home

No software required, no contract to sign. Simply apply as teacher, take eligibility test and start working with us. Required desktop or laptop with internet connection