Question

Given 𝑥 = 60; and 𝑠 = 6, find the z-score that corresponds to each of the following scores up to two decimal places

Answer 1

a.

$$z=\dfrac{x-\bar{x}}{s}=\dfrac{70-60}{6}=\dfrac{5}{3}\approx1.67$$

b.

$$z=\dfrac{x-\bar{x}}{s}=\dfrac{58-60}{6}=-\dfrac{2}{6}\approx-0.33$$