Question

Subjective wellbeing was measured among a sample of Statistics students with M=150 and S squared=25. Determine the z-scores for the students who obtained the following scores on the subjective wellbeing measure.

a) 110

b) 135

Answer 1

$\mu = 150 \\ S^2=25 \\ S=5 \\ Z=\frac{X- \mu}{S}$

a)

$Z=\frac{110-150}{5}=-8$

b)

$Z = \frac{135-150}{5}=-3$