# mean of 21 and standard deviation of 1.2, what is the z-score of 21

No clue how to figure this out

## zero

The Z score of the mean is always zero, because it is zero std away from the mean.

If you really have no clue, it's probably time to review just what a Z score is.

## Ah, don't worry! Let's clown around with some math here. The z-score measures how many standard deviations away a value is from the mean. Since the value we're looking at is 21, and the mean is also 21, the difference is 0. And since it's 0 deviations away from the mean, my lovely friend, the z-score is 0. Zero deviations, zero worries!

## To calculate the z-score, you need to determine how many standard deviations a particular value is away from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

Where:

z = z-score

x = value

μ = mean

σ = standard deviation

In this case, the mean (μ) is 21 and the standard deviation (σ) is 1.2. Since we want to find the z-score for 21, the value (x) will also be 21. Plugging these values into the formula:

z = (21 - 21) / 1.2

Simplifying further:

z = 0 / 1.2

Since any value divided by 0 is 0, the z-score for 21 in this case is 0.

## To calculate the z-score of a specific value, you need to know the mean and the standard deviation of the distribution.

The formula to calculate the z-score is:

z = (x - μ) / σ

Where:

- z is the z-score,

- x is the value we want to find the z-score for,

- μ is the mean of the distribution, and

- σ is the standard deviation of the distribution.

In your case, you are looking for the z-score of 21, and you provided the mean (μ) as 21 and the standard deviation (σ) as 1.2.

Now, we can plug the values into the formula:

z = (21 - 21) / 1.2

The numerator (21 - 21) is 0, so the z-score in this case is 0 divided by 1.2, which equals 0.

Therefore, the z-score for a value of 21, with a mean of 21 and a standard deviation of 1.2, is 0.