If you want to know about how to **arcsine transform data in Excel**, this article is for you. Here, we will walk you through **4** handy and effective methods to do the task smoothly.

**Table of Contents**hide

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## What Is Arcsine Transform?

The incorporation of the **arcsine** and **square root **transformation functions is known as the **Arcsine Transformation**. When **X** is a real number from** 0 **to **1**, **Arcsine Transformation **comes along as **ASIN(SQRT(X))**. The **Arcsine Transformation **assists in handling and stretching out the data points of probabilities, proportions, and percents if they are in the range of **0 **to **1**.

## 4 Methods to Arcsine Transform Data in Excel

The following table has **Event** and** Probability** columns. To **arcsine transform data **of the **Probability** column, we will use **4** effective methods. Here, we used **Excel 365**. You can use any available Excel version.

### 1. Using ASIN Function to Arcsine Transform Data in Excel

In this method, we will use **the ASIN function** to **arcsine transform data**.

**Steps:**

- First, we will write the following formula in cell
**D5**.

`=ASIN(C5)`

**Formula Breakdown**

**ASIN(C5) â†’**The**ASIN**function returns the**arcsine or inverse sine**of a given number.**ASIN(0.5) â†’**becomes**Output:****0.523598776**

- After that, press
**ENTER**. Then, we will see the result in cell**D5**. - Afterward, we will drag down the formula with the
**Fill Handle tool**.

Finally, you will see the **arcsine transform data **in the **Arcsine Transform** column.

**Read More: How to Transform Data to Normal Distribution in Excel (2 Easy Methods)**

### 2. Use of DEGREES, ASIN, and SQRT Functions to Arcsine Transform Data in Excel

Here, the following table has a **Percentage** column. To** arcsine transform data **of the **percentage value**, we will use the combination of **DEGREES**, **ASIN**, and **SQRT** functions.

**Steps:**

- First, we will type the following formula in cell
**D5**.

`=DEGREES(ASIN(SQRT(C5/100)))`

**Formula Breakdown**

**C5/100 â†’**divides the value in cell**C5**by**100**.**Output****:****0.005**

**SQRT(C5/100) â†’**The**SQRT**function returns a**square root**of the**positive numbers**.**Output:****0.07071067812**

**ASIN(SQRT(C5/100) â†’**returns the**arcsine or inverse sine**of a given number.**ASIN(0.07071067812) â†’**turns into**Output:****0.0707697366622136**

**DEGREES(ASIN(SQRT(C5/100))) â†’**converts**radian**values into**degrees**.**DEGREES(0.0707697366622136) â†’**becomes**Output:****4.054807228****Explanation:**Here,**4.054807228**is the**arcsine transformation**of the**Percentage**value.

- After that, press
**ENTER**. Then, we will see the result in cell**D5**. - Afterward, we will drag down the formula to the rest of the cells with the
**Fill Handle tool**.

Finally, you will see the **arcsine transform data **in the **Arcsine Transform** column.

### 3. Applying ASIN & SQRT Functions for Arcsine Transformation of Values Ranges from 0 to 1

Here, the following table has a **Probability** column and we can see that all the values are between** 0 and 1**. Now, we will use the combination of** ASIN** and **SQRT** functions to** arcsine transform data** of the **Probability **column.

**Steps:**

- First, we will type the following formula in cell
**D5**.

`=ASIN(SQRT(C5))`

**Formula Breakdown**

**SQRT(C5) â†’**The**SQRT**function returns a**square root**of the**positive numbers**.**Output:****0.707106781186548**

**ASIN(SQRT(C5)) â†’**The**ASIN**function returns the**arcsine or inverse sine**of a given number.**ASIN(0.707106781186548) â†’**becomes**Output:****0.785398163****Explanation:**Here,Â**0.785398163**is the**arcsineÂ transformation**of the**Probability**.

- After that, press
**ENTER**. Then, we will see the result in cell**D5**. - Afterward, we will drag down the formula with the
**Fill Handle tool**.

Finally, you will see the **arcsine transform data **in the **Arcsine Transform** column.

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

### 4. Arcsine Transformation of Values Greater Than 1 by Using Combined Functions

In the following tableâ€™s **Data** column, we can see that the values are **greater than1**. Here, we want to** arsine transform data **of the **Data** column. However, we can only **arcsine transform data** when the values are between** 0 **and** 1**.

In that case, to **arcsine transform data** of the** Data **column, we have to divide all the data values with the maximum value. After that, we will apply the combination of **ASIN** and **SQRT **functions.

**Steps:**

- First, we will write the following formula in cell
**C5**.

`=B5/MAX($B$5:$B$11)`

**Formula Breakdown**

**MAX($B$5:$B$11) â†’**returns the largest value from cells**B5:B11**.**Output:****23**

**B5/MAX($B$5:$B$11) â†’**divides the values of cell**B5**by the**Maximum**value**23**.**Output:****0.304347826**

- After that, press
**ENTER**. Then, we will see the result in cell**D5**. - Afterward, we will drag down the formula with the
**Fill Handle tool**.

- Afterward, we will type the following formula in cell
**D5**.

`=ASIN(SQRT(C5))`

**Formula Breakdown**

**SQRT(C5) â†’**The**SQRT**function returns a**square root**of the**positive numbers**.**Output:****0.551677284367371**

**ASIN(SQRT(C5)) â†’**The**ASIN**function returns arcsine or inverse sine of a given number.**ASIN(0.551677284367371) â†’**becomes**Output:****0.584373897****Explanation:**Here,**0.584373897**is the**arcsine transformed**value of the outside range of**0**to**1**.

- After that, press
**ENTER**. Then, we will see the result in cell**D5**. - Afterward, we will drag down the formula with the
**Fill Handle tool**.

Finally, you will see the **arcsine transform data **in the **Arcsine Transform** column.

## Things to Remember

- In order to
**arcsine transform data**, the values of the**probabilities**,**percentages**, and**proportions**must be between**0**to**1**. - If the values are
**greater than 1**, we have to divide the values with the**maximum data**. - Here, you canâ€™t use any
**negative valueÂ**in theÂ**SQRT**function otherwise it will showÂ**#NUM!**error.

## Practice Section

In the practice section of your sheet, you can practice the explained methods.

## Conclusion

Here, we tried to show you** 4 **methods to **arcsine transform data in Excel**. Thank you for reading this article, we hope this was helpful. If you have any queries or suggestions, please let us know in the comment section below. Please visit our website **Exceldemy** to explore more.

I do think, in these calculation(=DEGREES(ASIN(SQRT(C5/100))), you have to put 50 in the excel cell. Not 50%. This is a grave mistakes.

Dear Tanzir,

Thank you for your comment.

Arcsine transform is done for real numbers ranging from 0 to 1.

In the formula, DEGREES(ASIN(SQRT(X/100))), X indicates the percent value to be transformed. Therefore, when we put 50% in the formula it actually becomes 0.5. As a result, we can Arcsine transform the data.

However, if we put 50 instead of 50% then Arcsine transform is not possible.

Regards

Afia Aziz Kona

Hello Afia,

Thank you for responding. The real numbers should be X. Yes. However, you must convert it to proportions (divide by 100), which are already included in the formula DEGREES(ASIN(SQRT(X/100)). As a result, if you enter 50%, which is already 0.5, it will be divided by 0.5 by 100 once more. Please look at this book where the arcsine transformation of percentage data is done, as I said you and how it differed from your data.

Gomez and Gomez, 1984. Statistical procedures for agricultural research. John Wiley & sons,306-308.

Thank you

Tanzir Hossain