Question

normal distribution - find z score
score: 3/10 penalty: 1 off
question
on a standardized exam, the scores are normally distributed with a mean of 24 and a standard deviation of 4. find the z - score of a person who scored 26 on the exam.
answer attempt 1 out of 2
submit answer

Explanation:

Step1: Recall the z - score formula

The z - score formula is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Substitute the given values into the formula

Given \(x = 26\), \(\mu=24\), and \(\sigma = 4\). Then \(z=\frac{26 - 24}{4}\).

Step3: Calculate the value of the z - score

\(z=\frac{26-24}{4}=\frac{2}{4}=0.5\)

Answer:

\(0.5\)