Question

1. casey wants to rank her subjects compared to the rest of the students in saskatchewan.

use the following table to rank her subjects from best to worst. (5 marks)

Explanation:

Step1: Calculate the Z - score for Math

The formula for the Z - score is \(z=\frac{x - \mu}{\sigma}\). For Math, \(x = 72\), \(\mu=73\), \(\sigma = 5.6\).

$$z_{Math}=\frac{72 - 73}{5.6}=\frac{-1}{5.6}\approx - 0.18$$

Step2: Calculate the Z - score for History

For History, \(x = 90\), \(\mu = 80\), \(\sigma=5.1\)

$$z_{History}=\frac{90 - 80}{5.1}=\frac{10}{5.1}\approx1.96$$

Answer:

History (\(z\approx1.96\)), English (\(z = 0.94\)), Math (\(z\approx - 0.18\))