Question

The mean of a set of scores is 5.0, the variance is 4.00, the standard deviation is 2.0, and the mode is 3.5. What is a score of 8.00 expressed as a z-score?

Answer 1

The z-score for a score of 8.00 can be calculated using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation. In this case, the z-score is 1.50.

Step-by-step explanation:

The z-score formula is z = (x - μ) / σ, where z is the z-score, x is the score, μ is the mean, and σ is the standard deviation.

In this case, we are given that the mean is 5.0 and the standard deviation is 2.0. To find the z-score for a score of 8.00, we can substitute these values into the formula:

z = (8.00 - 5.0) / 2.0 = 1.50

Therefore, the z-score for a score of 8.00 is 1.50.