For a distribution

Question

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X = 100 and s=4. If x= X then z=?

If x = 90, then z =?
If z=2, then x=?
If z=1.5, then x =?

Answer 1

If X is the mean value, then z = 0 when x = X

x = 90, you are 2.5s below the mean, so z = -2.5

If x = 2, you are 8 above the mean, so x = 108

If z = 1.5, you are 6 above the mean, so x = 106