For a population with u=50 and o=8, find the z-score for x=54, x=42, x=62 ,x=48 ,x=52 ,x=34

I shall assume that u (usually typed as mu) is the mean and o (usually typed as sigma) is the standard deviation.

For x = 54, z = (54-50)/8 = +0.5

For x = 34, z = (34-50)/8 = -2

You do the others.

To find the z-score for a given value in a population, you can use the following formula:

z = (x - μ) / σ

where:
- z is the z-score
- x is the given value
- μ is the mean (average) of the population
- σ is the standard deviation of the population

Let's calculate the z-scores for the given values:

1. For x = 54:
z = (54 - 50) / 8
z = 4 / 8
z = 0.5

2. For x = 42:
z = (42 - 50) / 8
z = -8 / 8
z = -1

3. For x = 62:
z = (62 - 50) / 8
z = 12 / 8
z = 1.5

4. For x = 48:
z = (48 - 50) / 8
z = -2 / 8
z = -0.25

5. For x = 52:
z = (52 - 50) / 8
z = 2 / 8
z = 0.25

6. For x = 34:
z = (34 - 50) / 8
z = -16 / 8
z = -2

Therefore, the z-scores for the given values are:
- For x = 54, z = 0.5
- For x = 42, z = -1
- For x = 62, z = 1.5
- For x = 48, z = -0.25
- For x = 52, z = 0.25
- For x = 34, z = -2