The article will show you how to transform data to the **normal distribution** in Excel. In statistics, it’s important to imply the **normal distribution **concept to understand the position of a single or multiple data in the dataset. Calculating manually the **normal distribution **values of data is time consuming and also a tiresome process. Fortunately, we have a function in **Excel** which can solve our problem in an instant. The name of this function is **NORM.DIST**. Let’s go through the rest of the article for a better understanding.

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## What Is Normal Distribution?

**Normal distribution **is also known as **Gaussian distribution**. It is the probability distribution of a sample space. The distribution of these data is symmetric to the mean. It is also a measurement of how much data close to the mean appears more than data far from the mean. It’s important to know that the **mean** is zero and the **Standard Deviation **is **1 **in a **normal distribution**. In practical life, **normal distribution **helps us to understand the significance of data in a group of data. The equation to find **normal distribution **in a set of data is given below.

Where,

** σ** **= Standard Deviation**

** x ****= Sample Data**

** μ ****= Average/Mean**

## 2 Ways to Transform Data to Normal Distribution in Excel

In the dataset, we have information about some students’ performance by score in an examination. We will determine who did an outstanding performance in that exam by transforming their score into **normal distribution **using Excel.

**1. Using Excel Function to Transform Data to Normal Distribution**

The best way to transform your data to **normal distribution **will be to use Excel **NORM.DIST Function**. It will automatically calculate the **normal distribution **data by using the aforementioned formula. Let’s go through the process below.

**Steps:**

- First, make a column to store the
**normal distribution**values and also select two cells to store your**Mean**and**Standard Deviation**. - Type the following formula to calculate the
**Mean**and press**ENTER**. You will see the**Mean**of the**Marks**of these students.

`=AVERAGE(C5:C11)`

Here, **the AVERAGE Function **returns the **Mean **value of the **Marks **of the students.

- After that, use the following formula to calculate the
**Standard Deviation**.

`=STDEV.P(C5:C11)`

**The STDEV.P Function **returns the **Standard Deviation **of this data.

- Next, type the following formula in cell
**D5**.

`=NORM.DIST(C5,$C$13,$C$14,FALSE)`

- Later, hit the
**ENTER**button and you will see the**normal distribution**value of the marks in cell**C5**.

- After that, use the
**Fill Handle**to**AutoFill**the lower cells.

Thus you can transform all the data of your dataset to the **normal distribution **in Excel.

- If you want to show your data in a
**normal distribution graph**, please select the range**C4:D11**. - After that, go to
**Insert**>>**Scatter with Smooth Lines**

Thereafter, you will see the data in a **normal distribution graph**.

Keep in mind that, approximately **68% **of your data are between **Average ± Standard Deviation **range, **95% **of your data are between **Average ± 2*Standard Deviation **and **99.7% **of your data will fall between **Average ± 3*Standard Deviation **range. That means, **68% **of the students have a score between **74.57 ± 10.66 **or **63.91 **to **85.23**. Similarly, you can determine the other ranges for **95% **and **99.7%**.

**Read More: How to Get and Transform Data in Excel (4 Suitable Examples)**

**2. Applying Mathematical Formula to Transform Data to Normal Distribution**

If you are good at statistics and not interested in using the built-in **NORM.DIST Function**, you can use the **mathematical formula **of the **Normal Distribution**. Let’s go through the process below.

**Steps:**

- First, make a column to store the
**normal distribution**values and also select two cells to store your**Mean**and**Standard Deviation**. - Calculate the
**Mean**and**Standard Deviation**following the process of**Section 1**. - Next, type the following formula in cell
**D5**.

`=EXP(-0.5*((C5-$C$13)/$C$14)^2)/($C$14*SQRT(2*PI()))`

Here, the formula uses **EXP **and **SQRT Functions **to generate the **mathematical formula **of **normal distribution **transformation. It will return the **normal distribution **value of your data.

- Later, hit the
**ENTER**button and you will see the**normal distribution**value of the marks in cell**C5**.

- After that, use the
**Fill Handle**to**AutoFill**the lower cells.

Thus you can transform all the data of your dataset to **normal distribution **using the **mathematical formula**.

- If you want to show your data in a
**normal distribution graph**, please follow this link of**Section 1**.

**Read More: Difference Between Load and Transform Data in Excel**

## Practice Section

Here, I’m giving you the dataset of this article so that you can practice these methods on your own.

## Conclusion

Suffice to say, this article will help you to understand the basic methods on how to transform data to **normal distribution **in Excel. If you have any better methods or questions or feedback regarding this article, please share them in the comment box. This will help me enrich my upcoming articles. For more queries, kindly visit our website **ExcelDemy**.