**Excel Z Score (Table of Contents)**

## Z Score in Excel

Z Score is used for statistical measurement. It is also known as a standard score. The value of the Z score is the measurement of the number of standard deviations a specific number is above or below a mean.

The below formula is used to calculate the Z score:

**Z = (x-****µ) / ****σ**

Where the supplied arguments are as below:

- Z = It denotes the Z score value.
- X = The value to be standardized.
- µ = Mean of the given data set values.
- σ = Standard deviation of the given data set values.

### How to Calculate Z Score in Excel?

Calculation of Z Score in excel is very simple and easy. Let’s understand how to calculate the Z score in excel with some examples.

#### Excel Z Score – Example #1

We have given marks of some students as below:

Now for calculating Z Score, we need to find out the Mean and standard deviation of the given dataset in excel.

**Mean (or Average) calculation:**

For finding the average, follow the below steps:

**Step 1** – Go to the **Formulas** tab. Click on **More Functions** options under the Functions Library section.

**Step 2** – Now click on the **Statistical** functions category from the drop-down list. It will again open a list of functions. Click on** the AVERAGE** function as shown below.

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**Step 3** – It will open a Function Arguments dialog box. Enter the Range from Cells **B4:B13** under field **Number1** and click on **OK**.

- It will give you the Average or Mean value.

**Standard Deviation calculation:**

For finding the standard deviation, follow the below steps:

**Step 1** – Go to the **Formulas** tab. Click on **More Functions** under the Function Library section.

**Step 2** – Click on the **Statistical** Function category from the drop-down list. It will open a list of functions. Click on **STDEVPA** from the list as shown in the below screenshot.

**Step 3** – It will open a Function Arguments dialog box. Enter the cells range from **B4:B13** under field **Value1** and click on **OK**.

- It will give you the standard deviation value.

**Now we have to calculate the Z score values in excel. For this, follow the below screenshots:**

- Go to the
**FORMULAS**tab. Click on the**More Functions**option under the Function Library section.

- Then a drop-down list of functions will open. Click on
**Statistical functions**from the list. It will open a list of functions. Click on**STANDARDIZE**function from the list as per the below screenshot.

- Then it will open a Function Arguments dialog box. Enter the Cell value
**B4**under field**X**.

- Enter the Mean value in the second field,
**Mean,**which is mentioned under Cell**B15**.

- Enter the Standard Deviation value in the third field,
**Standard_dev,**which is mentioned under Cell**B16**. Click on**OK**.

- The result will be as given below.

- Drag this formula for the rest values, and it will pop up the Z score values in excel as shown below:

**Explanation**

- If we analyze the data, the highest Z score value is 2.082778, which is the Z score value of Nick Brown, who has achieved the highest score in the exam.
- The smallest Z score value is -0.98521, which is the lowest Z score value of Adrian Steve, who has achieved the lowest score in the exam.
- There can be positive and negative values in Z scores.
- Students who have achieved scores more than the mean value get positive Z scores.
- Students who have achieved scores less than the mean value get negative Z scores.
- If the Z score is zero, that means the student’s score is the same as the mean value.

#### Excel Z Score – Example #2

We have given the below data values.

To calculate the Z score or standard score, we need to determine the first mean and standard deviation in excel.

- Let’s apply the AVERAGE formula for calculating the mean of the given dataset.

- It will give you the Average or Mean value.

For calculating standard deviation, let’s apply the STDEVPA function for the given data values as per the below screenshot.

- It will give you the standard deviation value.

- Now we will calculate Z score values in excel. For this, apply the STANDARDIZE function for the given data values as per the below screenshot.

- The result will be as given below.

- Drag this formula for the rest values. The Final result is given below:

As we can see, the positive value of Z scores are higher than the mean value, and the negative value of Z scores are lower than the mean value.

### Things to Remember

- The Z score tells us a number of standard deviations that are away from the mean of the distribution or dataset.
- The data values which are higher than the mean Z score will be a positive value.
- Data values which are below the mean Z score will be a negative value.
- The z score value is probably used for statistical analysis.

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