Math, asked by diksha382, 9 months ago

the algebraic sum of the deviations of a frequency distribution from its mean is
a)always positive
b)always negative
c)0
d)a non zero number ​

Answers

Answered by amitnrw
1

the algebraic sum of the deviations of a frequency distribution from its mean is  0 (ZERO)

Step-by-step explanation:

Let say  n terms are

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

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

& Mean = x

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

Sum of 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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