Question

Solve for original X score with the following: u=61, standard deviation=8, and the z-score=+1.75. a 53 b 47 c 75 d 69

Answer 1

The original X score corresponding to a z-score of +1.75 with a mean of 61 and a standard deviation of 8 is 75.

Step-by-step explanation:

To solve for the original X score given a mean (u) of 61, a standard deviation of 8, and a z-score of +1.75:

• First, understand the z-score formula: z = (X - u) / σ, where X is the original score, u is the mean, and σ is the standard deviation.
• Re-arrange the formula to solve for X: X = zσ + u.
• Next, plug in the given values: X = (1.75)(8) + 61 = 14 + 61 = 75.

The original X score that corresponds to a z-score of +1.75 with a mean of 61 and standard deviation of 8 is 75.