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

Sagot :

MrRoyalidn

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

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