Math, asked by GauravNarang1136, 1 year ago

What is the ale braic sum of the deviations of a frequency distribution?

Answers

Answered by amitnrw
7

algebraic sum of deviations of a frequency distribution about its mean = 0

Step-by-step explanation:

What is the algebraic sum of deviations of a frequency distribution about its mean = 0

Let say  n terms are

a₁  , a₂ , a₃ ......................................aₙ

Sum = (a₁  + a₂ + a₃ +....................................+ aₙ )

& Mean = x

=> nx = a₁  + a₂ + a₃ +....................................+ aₙ

deviations of a frequency distribution about its mean

= (x - a₁) + (x - a₂)  + (x - a₃) +................(x - aₙ)

= nx - (a₁  + a₂ + a₃ +....................................+ aₙ )

=  nx -  nx

= 0

Hence  algebraic sum of deviations of a frequency distribution about its mean = 0

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