Z = (score-mean)/SD
Z = (230-240)/4.8 = -2.08
Use the same equation for the second score.
What is a z-score of 230?
What is a z-score of 245?
Round to the nearest hundredth.
Enter your answers in the boxes.
A Z-score of 230 is 6
A Z-score of 245 is <i'm confused for this one
Z = (230-240)/4.8 = -2.08
Use the same equation for the second score.
z = (x - μ) / σ
where:
x is the given value
μ is the mean of the distribution
σ is the standard deviation of the distribution
Substituting the values:
z = (230 - 240) / 4.8
z = -10 / 4.8
z ≈ -2.08
Therefore, the z-score of 230 is approximately -2.08.
Similarly, to find the z-score of 245, you can use the same formula:
z = (x - μ) / σ
Substituting the values:
z = (245 - 240) / 4.8
z = 5 / 4.8
z ≈ 1.04
Therefore, the z-score of 245 is approximately 1.04.
z = (x - μ) / σ
where z is the z-score, x is the raw score, μ is the mean of the distribution, and σ is the standard deviation.
For the given distribution with a mean of 240 and a standard deviation of 4.8, let's calculate the z-scores for the given values:
For a z-score of 230:
z = (230 - 240) / 4.8
z = -10 / 4.8
z = -2.0833 (rounded to the nearest hundredth)
So, the z-score is approximately -2.08.
For a z-score of 245:
z = (245 - 240) / 4.8
z = 5 / 4.8
z = 1.0417 (rounded to the nearest hundredth)
So, the z-score is approximately 1.04.