Question

The values of four out of a sample of five deviations are: -5, +2, +4, -2. What is The value of the fifth deviation?

Answer 1

The fifth deviation is +1

Step-by-step explanation:

Given

`Deviations = -5, +2, +4,-2`

Required

Determine the fifth deviation

Represent the fifth deviation with x.

As a theorem, the sum of deviations from mean is always 0.

So, we have:

`-5 +2 +4-2+x = 0`

`-1+x = 0`

Add 1 to both sides

`1 -1+x = 0 +1`

`x = 0 +1`

`x= +\ 1`

Hence, the fifth deviation is +1