Question

Suppose you have a mean standardized score of 1200 points with a standard deviation of 200 points. This data is normally distributed. What is the z-score of 1300 points?

A. -0.75

B. -0.50

C. -0.67

D. -0.32

Answer 1

The z-score of 1300 points, when the mean standardized score is 1200 points and the standard deviation is 200 points, is 0.5, which is not listed in the provided options.

Step-by-step explanation:

When you have a mean standardized score of 1200 points with a standard deviation of 200 points, and this data is normally distributed, to find the z-score for 1300 points, you'd use the formula:

z = (X - μ) / σ

Where X is the score, μ (mu) is the mean, and σ (sigma) is the standard deviation. In this case:

z = (1300 - 1200) / 200 = 100 / 200 = 0.5

So, the z-score for 1300 points is 0.5, which corresponds with none of the options provided (A, B, C, D). Therefore, there seems to be an error in the question as the correct z-score for 1300 points is 0.5 which is not listed in the options.