A z-score calculator is a tool used to calculate the z-score for a given data point, based on the mean and standard deviation of a data set. Here are the steps to calculate the z-score:

1. Determine the data point that you want to find the z-score for.
2. Calculate the mean and standard deviation of the data set.
3. Subtract the mean from the data point.
4. Divide the result from step 3 by the standard deviation.
5. The result is the z-score for the data point.

Here is an example:

Let’s say the mean of a data set is 50 and the standard deviation is 10. We want to find the z-score for a data point of 70.

1. The data point we want to find the z-score for is 70.
2. The mean is 50 and the standard deviation is 10.
3. Subtract the mean from the data point: 70 – 50 = 20.
4. Divide the result from step 3 by the standard deviation: 20 / 10 = 2.
5. The z-score for the data point of 70 is 2.

So, the z-score for a data point of 70 in a data set with a mean of 50 and standard deviation of 10 is 2.

The formula for calculating the z-score is as follows:

z = (x – μ) / σ

Where:

• x is the raw score you want to convert into a z-score
• μ is the mean of the population
• σ is the standard deviation of the population

To calculate the z-score step by step, follow these instructions:

1. Determine the raw score (x) you want to convert into a z-score.
2. Determine the mean (μ) of the population you are interested in.
3. Determine the standard deviation (σ) of the population you are interested in.
4. Subtract the mean (μ) from the raw score (x): (x – μ)
5. Divide the result of step 4 by the standard deviation (σ): (x – μ) / σ
6. The result of step 5 is the z-score for the raw score (x).