Question

calculating z -scores for data related to expenses
chase has been tracking his weekly grocery bills. the mean amount he spends in a week is $80 with a standard deviation of $10. last week, he spent $95 on groceries.
what is the z -score for chases grocery expenses from last week?
use the following formula to calculate z -score: $z=\frac{x - mu}{sigma}$ where $x$ is the data point, $mu$ is the mean, and $sigma$ is the standard deviation.
0.5
1.5
1.0
-1.5

Explanation:

Step1: Identify values

$x = 95$, $\mu=80$, $\sigma = 10$

Step2: Apply z - score formula

$z=\frac{x - \mu}{\sigma}=\frac{95 - 80}{10}$

Step3: Calculate result

$\frac{95 - 80}{10}=\frac{15}{10}=1.5$

Answer:

1.5