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
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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