If you are looking for a way to calculate **2 sigma** then you have come to the right place. The main objective of this article is to explain how to** calculate 2 Sigma **in Excel. For today’s article, I am using **Office 365**. But, you can use any other version.

## What Is 2 Sigma?

**Sigma **refers to the **Population Standard Deviation**. The formula for **Sigma **is:

**Sigma = âˆš(x-Âµ)**

^{2}/NWhere,

**N = Population Size
**

**ÂµÂ = Population Mean**

**x = Each Value from Population**

So, the formula for **2 Sigma** becomes:

**2 Sigma = 2 * Sigma**

## How to Calculate 2 Sigma in Excel: 2 Easy Ways

I have taken the following dataset for this article. It contains the **Name** and **Obtained Marks** of some students. I will use this dataset to calculate **2 Sigma** for the **Obtained Marks **in **2 **easy ways.

### 1. Use Generic Formula to Determine 2 Sigma in Excel

In this first method, I will use the generic formula to** calculate 2 Sigma **in Excel. For this, I will find out **Population Size (N)**, **Population Mean (Âµ)**, **x-Âµ**, and **(x-Âµ)**** ^{2}**. And then I will calculate

**Sigma**and

**2 Sigma**from these. Letâ€™s explore the steps.

#### Step-01: Calculate Population Size

To begin with, I will calculate the** Population Size (N)**.

- Firstly, select the cell where you want to calculate the
**Population Size**. Here, I selected**Cell D12**. - Secondly, in
**Cell D12**write the following formula.

`=COUNT(C5:C10)`

- Thirdly, press
**Enter**and you will get the**Population Size (N)**.

**the COUNT function**, I selected cell range

**C5:C10**as values. Now, the formula will return the number of entries in the selected range.

#### Step-02: Find Population Mean

Here, I will find the **Population Mean** for the dataset. I will need this later to calculate **2 Sigma** in Excel.

- In the beginning, select the cell where you want the
**Population Mean**. - Then, write the following formula in that selected cell.

`=AVERAGE(C5:C10)`

- In the end, press
**Enter**to get the result.

**the AVERAGE function**, I selected cell range

**C5:C10**as numbers. Now, the formula will return the average of these numbers.

#### Step-03: Determine x-Âµ

In this step, I will determine** x-Âµ **for every student.

- First, select the cell where you want to calculate
**x-Âµ**. Here, I selected**Cell D5**. - Then, in
**Cell D5,**write the following formula.

`=C5-$D$13`

- Next, press
**Enter**to get the result.

**Population Mean**from the

**Obtained Marks**. I used

**Absolute Cell Reference**for

**Population Mean**. So that it remains fixed while using

**Autofill**.

- After that, drag the
**Fill Handle**down to copy the formula.

- Finally, you can see that I have copied the formula to the other cells and got the desired output.

#### Step-04: Calculate (x-Âµ)^2

Now, I will calculate the **(x-Âµ)**** ^{2}** for each student.

- In the beginning, select the cell where you want the
**(x-Âµ)**.^{2} - Next, write the following formula in that selected cell.

`=D5^2`

- After that, press
**Enter**to get the result.

**raises**the value in

**Cell D5**to the

**power of 2**.

- Further, drag the
**Fill Handle**down to copy the formula to the other cells.

#### Step-05: Find Sigma

In this step, I will find **Sigma** for the **Obtained Marks** which is the standard deviation.

- Firstly, select the cell where you want the
**Sigma**. Here, I selected**Cell D14**. - Secondly, in
**Cell D14**write the following formula.

`=SQRT(SUM(E5:E10)/D12)`

- Thirdly, press
**Enter**to get the**Sigma**.

**🔎** **How Does the Formula Work?**

**SUM(E5:E10):**Here, in**the SUM function**I selected cell range**E5:E10**as**numbers**. The formula returns the**summation**of the cell range**E5:E10**.**SUM(E5:E10)/D12:**Now, this formula divides the**summation**by**D12**.**SQRT(SUM(E5:E10)/D12):**Finally,**the SQRT function**returns the square root of the result.

#### Step-06: Calculate 2 Sigma

Here, I will calculate** 2 Sigma** in Excel.

- First, select the cell where you want the
**2 Sigma**. - Then, write the following formula in that selected cell.

`=2*D14`

- Lastly, press
**Enter**and you will get the**2 Sigma**.

**multiplies**the

**Sigma**by

**2**and returns it as result.

**Read More:**How to Calculate Sigma Level in Excel

### 2. Apply STDEV.P Function to Calculate 2 Sigma in Excel

You can also use **the STDEV.P function** to **calculate 2 Sigma** in Excel. The **STDEV.P **function has been introduced in **Excel 2010 **and is available for all other versions after that. In **Excel 2007** you will find this function as **STDEVP**. Letâ€™s see the steps of the calculation.

**Steps:**

- Firstly, select the cell where you want the
**Sigma**. - Secondly, write the following formula in that selected cell.

`=STDEV.P(C5:C10)`

- Thirdly, press
**Enter**to get the result.

**STDEV.P**function, I selected cell range

**C5:C10**as

**numbers**. The formula will return the

**Standard Deviation**of the given cell range. Which is the

**Sigma**.

- Next, select the cell where you want the
**2 Sigma**. Here, I selected**Cell C13**. - Then, in
**Cell C13**write the following formula.

`=2*C12`

- Finally, press
**Enter**to get the**2 Sigma**.

**multiply**the

**Sigma**by

**2**.

## Practice Section

Here, I have provided a practice sheet for you to practice how to **calculate 2 Sigma** in Excel.

**Download Practice Workbook**

You can download the practice workbook from here.

## Conclusion

To conclude, I tried to explain how to **calculate 2 Sigma** in Excel in** 2 **easy and effective ways. I hope this article was helpful to you. If you have any questions, feel free to let me know in the comment section below.

## Related Article

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