Question

1. if yurts z score in a test is 1.6, the mean mark is 80% and standard deviation is 3%, find his test score, x.

x = enter your next step here %

Explanation:

Step1: Recall z-score formula

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

Step2: Rearrange to solve for $X$

Rearrange the formula to isolate $X$: $X = z\sigma + \mu$

Step3: Substitute given values

Substitute $z=1.6$, $\mu=80$, $\sigma=3$:
$X = (1.6 \times 3) + 80$

Step4: Calculate the result

First compute $1.6 \times 3 = 4.8$, then add to 80:
$X = 4.8 + 80 = 84.8$

Answer:

$84.8$