Question

the algebraic sum of devitlations of 28,12,36 from the arithmetic mean is equal too​

Answer 1

Answer:

the algebraic sum of arithmetic mean is always 0

Step-by-step explanation:

The algebraic sum of the deviations from the arithmetic mean is always zero.

For example: 2,5,8,11,14 be the observations.  

The arithmetic mean is  

x

ˉ

=  

5

2+5+8+11+14

​  

=  

5

40

​  

=8

The algebraic sum of the deviations from the arithmetic mean is ∑(x  

i

​  

−  

x

ˉ

)

⟹∑(x  

i

​  

−8)=(2−8)+(5−8)+(8−8)+(11−8)+(14−8)

=−6−3+0+3+6=0

Therefore, the algebraic sum of the deviations from the arithmetic mean is always zero.