# z-score calculator

# z-score calculator

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:

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

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

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