jordan is 53 inches tall. what is his z - score? jake is 44 inches tall. what is his z - score? jacob is 49…

Explanation:

Step1: Recall z - score formula

$z=\frac{x - \mu}{\sigma}$, where $x$ is the data - point, $\mu$ is the mean and $\sigma$ is the standard deviation.

Step2: Calculate Jordan's z - score

Given $x = 53$, $\mu=49$, $\sigma = 2$. Substitute into the formula: $z=\frac{53 - 49}{2}=\frac{4}{2}=2$.

Step3: Calculate Jake's z - score

Given $x = 44$, $\mu = 49$, $\sigma=2$. Substitute into the formula: $z=\frac{44 - 49}{2}=\frac{-5}{2}=-2.5$.

Step4: Calculate Jacob's z - score

Given $x = 49$, $\mu = 49$, $\sigma = 2$. Substitute into the formula: $z=\frac{49 - 49}{2}=\frac{0}{2}=0$.

Answer:

Jordan's z - score: 2 Jake's z - score: - 2.5 Jacob's z - score: 0