What is the standard score for an exam score of 68​?

Question

The scores on a psychology exam were normally distributed with a mean of 67 and a standard deviation of 5.

What is the standard score for an exam score of 68​?

The standard score is .

​(Round to the nearest hundredth as​ needed.)

Answer 1

The standard score for normal distribution is the Z-score.

The formula is:

Z = (x-μ) / σ

Where:

x = the observed value = 68

μ = mean of the sample = 67

σ = standard deviation = 5

Z = (68 - 67)/5

Z = 0.20