Given a normal distribution of scores with a mean of 100 and a SD of 10, compute z scores for the following raw valves: 95, 115, 80, 130.

Z = (score-mean)/SD

Compute away!

To calculate the z-scores for each raw value, you can use the formula:

z = (X - μ) / σ

Where:
- X is the value you want to convert to a z-score
- μ is the mean of the distribution
- σ is the standard deviation of the distribution

Given that the mean (μ) is 100 and the standard deviation (σ) is 10, we can calculate the z-scores as follows:

For X = 95:
z = (95 - 100) / 10 = -0.5

For X = 115:
z = (115 - 100) / 10 = 1.5

For X = 80:
z = (80 - 100) / 10 = -2.0

For X = 130:
z = (130 - 100) / 10 = 3.0

Therefore, the z-scores for the raw values are:
- For 95: -0.5
- For 115: 1.5
- For 80: -2.0
- For 130: 3.0

To compute the z-scores for the given raw values, we will use the formula:

z = (X - μ) / σ

Where:
X is the raw value,
μ is the mean of the distribution, and
σ is the standard deviation of the distribution.

Given:

Mean (μ) = 100
Standard Deviation (σ) = 10

To compute the z-scores for the given raw values:

For X = 95:
z = (95 - 100) / 10
z = -0.5

For X = 115:
z = (115 - 100) / 10
z = 1.5

For X = 80:
z = (80 - 100) / 10
z = -2

For X = 130:
z = (130 - 100) / 10
z = 3

So, the z-scores for the raw values 95, 115, 80, and 130 are -0.5, 1.5, -2, and 3, respectively.