Question

The grades on a language midterm at Oak Academy are roughly symmetric with = 67 and 0 = 2.5. Ishaan scored 70 on the exam. Find the z-score for Ishaan's exam grade. Round to the nearest tenth.

Answer 1

Answer:  1.2

Step-by-step explanation:

Let X denotes the grades on a  language midterm at Oak Academy.

As per given ,

X follows normal distribution ( because it has symmetric graph)

$\mu=67,\ \ \ \ \sigma= 2.5$

Formula for z : $z=\dfrac{X-\mu}{\sigma}$

For X = 70, we have

$z=\dfrac{70-67}{2.5}=\dfrac{3}{2.5}=1.2$

Hence, the z-score for Ishaan's exam grade = 1.2