Often, we work with different kinds of data in Excel. We also perform data analysis. For that purpose, we may need to generate random numbers. We can handle that simple task by using the **RAND** function. However, real-life scenarios donâ€™t contain evenly distributed values. For this reason, we need random numbers with Normal Distribution. In this article, weâ€™ll show you the effective methods of the Random Number Generator with Normal Distribution in Excel.

To illustrate, weâ€™ll use a sample dataset as an example. For instance, the following dataset specifies the **Mean **and **Standard Deviation**. Weâ€™ll thus generate 5 Random Numbers.

## Introduction to Normal Distribution

The **Normal Distribution **is also known as a **Bell Curve**. The theory is based on the idea that the distribution of values mainly clusters around an average. Still, very high and very low values are possible in certain cases. But, they are rare compared to the ones closer to the average.

## Random Number Generator with Normal Distribution in Excel: 4 Methods

### 1. Insert NORMINV Function for Random Number Generator with Normal Distribution in Excel

We know Excel provides many different functions. And we use them to perform numerous operations. **The NORMINV function** is one of such kind. It helps us to generate the inverse of the normal cumulative distribution. We have to specify the mean and the standard deviation in this function argument to perform the task. Therefore, follow the steps below to create the Random Number Generator with **Normal Distribution **in Excel.

**STEPS:**

- First, select cell
**D5**. Here, type the formula:

`=NORMINV(RAND(),$B$5,$C$5)`

- Then, press
**Enter**. - Eventually, use the AutoFill tool to generate
**4**more numbers.

Here, **B5 **is the **Mean **and **C5 **is the **Standard Deviation**. We input the probability required in this function argument with **the RAND function**.

### 2. Create a Normally Distributed Random Number with Excel NORM.INV Function

Additionally, we can perform a similar task as stated in the previous method with the** NORM.INV **function. This function also returns the inverse of the normal cumulative distribution. But it is more compatible with the latest MS Excel versions. So, learn the following steps to carry out the operation.

**STEPS:**

- Firstly, select cell
**D5**to type the formula:

`=NORM.INV(RAND(),$B$5,$C$5)`

- Next, press
**Enter**to return the value. - At last, use
**AutoFill**to fill the series.

**B5 **is the **Mean **and **C5 **is the **Standard Deviation**. We use the **RAND **function to input the probability required in this function argument.

### 3. Use the Box Muller Method for Random Number Generator with Normal Distribution in Excel

In this method, weâ€™ll create a formula combining different Excel functions to apply the **Box Muller **method. Hence, follow the process to perform the task.

**STEPS:**

- First of all, select cell
**D5**. Type the formula:

`=SQRT(-2*LN(RAND()))*COS(2*PI()*RAND())*$C$5+$B$5`

- After that, press
**Enter**and use**AutoFill**to complete the rest.

🔎 **How Does the Formula Work?**

**RAND()**

Firstly, the **RAND **function generates random numbers.

**LN(RAND()**

**The LN function** returns the natural logarithm of the numbers returned by the **RAND **function.

**COS(2*PI()*RAND()**

**The COS function** returns the cosine of **2*PI()*RAND()**.

**SQRT(-2*LN(RAND()))*COS(2*PI()*RAND())*$C$5+$B$5**

Finally, **the SQRT function** returns random numbers.

### 4. Apply NORM.DIST Function to Create Random Number

In our last method, weâ€™ll apply **the NORM.DIST function** for creating random numbers. The **NORM.DIST** function returns the normal distribution. But we have to specify the mean and the standard deviation. So, learn the following process to generate random numbers.

**STEPS:**

- Select cell
**E5**at first. - Then, type the formula:

`=NORM.DIST(B5,$C$5,$D$5,TRUE)`

- After that, press
**Enter**. Lastly, use**AutoFill**to return**4**more numbers.

Here, we generate the normally distributed random number for each mark in the **B** column.

**Download Practice Workbook**

Download the following workbook to practice by yourself.

## Conclusion

Henceforth, you will be able to know the Random Number Generator with Normal Distribution in Excel using the above-described methods. Keep using them. Let us know if you have any more ways to do the task. Donâ€™t forget to drop comments, suggestions, or queries if you have any in the comment section below.

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