Question

The sum of (x+3) observation is (x^4-81). Find the meam of the observation

Answer 1

x⁴-81=[(x+3)(x-3)] [x²+9]
=(x+3)(x-3)(x²+9)/(x+3)=mean
=(x-3)(x²+9)
=x³-3x²+9x-27
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Answer 2

we have,
no of observations = x+3
sum of the observations = x^4 - 81
now,
mean = sum of the observations / no of observations
= (x^4 - 81) / (x+3)
= (x^2 - 9)(x^2 + 9) / (x+3)
= (x - 3)(x+3)(x^2 + 9) / (x+3)
= (x-3)(x^2 + 9)
= x^3 + 9x - 3x^2 - 27
= x^3 - 3x^2 + 9x - 27

hence the mean of the observation is x^3 - 3x^2 + 9x - 27