Question

Write the formula for changing a Z score to a raw score, and define each of the symbols.

a) X = Z * μ - σ, where X is the raw score, Z is the Z score, μ is the mean, and σ is the standard deviation.
b) X = Z / μ + σ, where X is the raw score, Z is the Z score, μ is the mean, and σ is the standard deviation.
c) X = Z + μ * σ, where X is the raw score, Z is the Z score, μ is the mean, and σ is the standard deviation.
d) X = Z - μ / σ, where X is the raw score, Z is the Z score, μ is the mean, and σ is the standard deviation.

Answer 1

The formula for changing a Z score to a raw score is X = Z * μ + σ, where X is the raw score, Z is the Z score, μ is the mean, and σ is the standard deviation.

Step-by-step explanation:

The formula for changing a Z score to a raw score is:

X = Z * μ + σ

where X is the raw score, Z is the Z score, μ is the mean, and σ is the standard deviation.

For example, if you have a Z score of 1.5, a mean of 10, and a standard deviation of 2, you can calculate the corresponding raw score as follows:

X = 1.5 * 10 + 2 = 17