Question

The scores on a midterm exam were normally distributed with a mean of 75 and a standard deviation of 5. What is the standard score for an exam score of 87​?

Answer 1

To find the standard score (z-score) for an exam score of 87, we can use the formula:

z = (x - μ) / σ

where x is the exam score, μ is the mean, and σ is the standard deviation.

Plugging in the given values, we get:

z = (87 - 75) / 5

Simplifying the calculation, we get:

z = 2.4

Therefore, the standard score for an exam score of 87 is 2.4. This means that the exam score of 87 is 2.4 standard deviations above the mean score of 75.