Question

1. harry scored 10.06 in his test, in which the mean was 5.9 and the standard deviation was 1.6. roxanne scored 27.1 in her test, in which the mean was 15.9 and the standard deviation was 2.8. 8a find harrys z - score. z = enter your next step here

Explanation:

Step1: Recall z-score formula

The z-score formula is $z = \frac{x - \mu}{\sigma}$, where $x$ is the raw score, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Substitute Harry's values

Substitute $x=10.06$, $\mu=5.9$, $\sigma=1.6$ into the formula.
$z = \frac{10.06 - 5.9}{1.6}$

Step3: Calculate numerator first

Compute $10.06 - 5.9 = 4.16$

Step4: Divide to find z-score

$z = \frac{4.16}{1.6} = 2.6$

Answer:

2.6