Question

The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, equals, 3, point, 5. Ishaan scored 65 6565 on the exam. Find the z-score for Ishaan's exam grade. Round to two decimal places.

Answer 1

Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

$z=\frac{x-mean}{standard deviation}$

$z=\frac{65-69}{3.5}$

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.