A normal distribution has a mean of 240 and a standard deviation of 4.8.

What is a z-score of 230?

What is a z-score of 245?

Round to the nearest hundredth.



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A Z-score of 230 is 6

A Z-score of 245 is <i'm confused for this one

Z = (score-mean)/SD

Z = (230-240)/4.8 = -2.08

Use the same equation for the second score.

To find the z-score of 230 in a normal distribution with a mean of 240 and a standard deviation of 4.8, you can use the formula:

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.

To find the z-score, you can use the formula:

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.