A normal distribution has a mean of 110 and a standard deviation of 8. Find the z-score for a data value of 80. Round to two decimal places

Question

asked Apr 14, 2023 165k views

1 Answer

Jameila · Answer 1 · 2023-04-18T10:24:03+0000

We have a normal distribution that has a mean of 110 and a standard deviation of 8.

We have to find the z-score for a value of X = 80.

We can use the following expression to find the z-score:

$z=(X-\mu)/(\sigma)$

where μ = 110 and σ = 8.

Then, we can solve as:

$z=(X-\mu)/(\sigma)=(80-110)/(8)=(-30)/(8)\approx-3.75$

Answer: z = -3.75