Height and weight are two measurements used to track a child's development. TheWorld Health Organiza

Height and weight are two measurements used to track a child's development. The World Health Organization measures child development by comparing the weights of children who are the same height and the same gender.

In 2009, weights for all 80 cm girls in the reference population had a mean μ = 10.2 kg and standard deviation σ = 0.8 kg. Weights are normally distributed. X ~ N(10.2, 0.8).

Calculate the z-scores that correspond to the following weights and interpret them.

a. 11 kg<br />
b. 7.9 kg<br />
c. 12.2 kg

a. Answer A - Z = 0.1
b. Answer B - Z = -0.288
c. Answer C - Z = 0.25