Answer:
The fifth deviation is +1
Explanation:
Given
[tex]Deviations = -5, +2, +4,-2[/tex]
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:
[tex]-5 +2 +4-2+x = 0[/tex]
[tex]-1+x = 0[/tex]
Add 1 to both sides
[tex]1 -1+x = 0 +1[/tex]
[tex]x = 0 +1[/tex]
[tex]x= +\ 1[/tex]
Hence, the fifth deviation is +1