Standard deviation is a famous statistical tool in Google Sheets that we use often to measure the spread of values from the actual average values. We also use the standard deviation of weighted variables in Google Sheets to measure the spread when weights are given against different values. In this article, we’ll see 2 suitable methods to calculate the standard deviation of weighted variables in Google Sheets with clear images and steps.

**A Sample of Practice Spreadsheet**

You can download Google Sheets from here and practice very quickly.

**What Is Standard Deviation of Weighted Variables?**

Standard deviation is a statistical tool that calculates the average distance of each value from the average of the whole dataset. And the standard deviation of weighted variables calculates the spread of values from the average of the whole dataset where some values have more weight than others.

**2 Suitable Methods to Calculate Standard Deviation of Weighted Variables in Google Sheets**

Let’s get introduced to our dataset first. Here we have some tests of a student in **Column B** and his scores in those tests in **Column C**. There are also some weights given on each test in **Column D**. Now, I’ll show you 2 suitable methods to calculate the standard deviation of weighted variables in Google Sheets with the help of this dataset.

**1. Combining SUMPRODUCT, SUM and SQRT Functions**

Firstly, we can combine the **SUMPRODUCT****, ****SUM** and **SQRT** functions to calculate the standard deviation of weighted variables in Google Sheets. The **SUMPRODUCT **and **SUM **functions will help us to calculate the weighted average. We’ll also use **the COUNTIF function** to count the total number of non-zero weights. At last, the **SQRT** functions will give us the square root of the output and thus we get the desired standard deviation of weighted variables. Let’s see the steps.

**Steps:**

- At first, type the following formula in
**Cell E12**–

`=SUMPRODUCT(C5:C10,D5:D10)/SUM(D5:D10)`

- Then, hit
**Enter**to get the weighted average.

**Formula Breakdown**

**SUMPRODUCT(C5:C10,D5:D10)**

Initially, this function multiplies **Cell C5** with **Cell D5** and continues this till **Cells** **C10** and **D10**. After that, it returns the summation of all the multiplied values.

**SUM(D5:D10)**

This function returns the summation of the **Cells** from **D5** to **D10**.

**SUMPRODUCT(C5:C10,D5:D10)/SUM(D5:D10)**

At last, this formula gives the desired weighted average.

- Next, write the following formula in
**Cell E5**–

`=(C5-$E$12)^2`

- After that, press
**Enter**to get the squared deviation.

- Afterward, you’ll see the squared deviation for all the values in
**Column E**.

- Consequently, insert the following formula in
**Cell E13**–

`=COUNTIF(D5:D10,"<>0")`

- Again, click
**Enter**to get the total numbers of non-zero weight (M).

- Moreover, put the following formula in
**Cell E14**–

`=SQRT(SUMPRODUCT(D5:D10,E5:E10)/(((E13-1)/E13)*SUM(D5:D10)))`

- Finally, hit the
**Enter**button to get the standard deviation of weighted variables.

**Formula Breakdown**

**SUMPRODUCT(D5:D10,E5:E10)**

Before all, this function multiplies **Cell D5** with **Cell E5** and continues this until **Cells D10** and **E10**. Then, it gives the summation of all the multiplied values.

**((E13-1)/E13)*SUM(D5:D10)**

Next, we subtract 1 from **Cell E13** and divide it by **Cell E13**. Consequently, we multiply the output with the summation of the values from **Cell D5** to **D10**.

**SQRT(SUMPRODUCT(D5:D10,E5:E10)/(((E13-1)/E13)*SUM(D5:D10)))**

In the end, this formula gives the desired standard deviation of weighted variables.

**Read More: How to Calculate Standard Deviation in Google Sheets**

**2. Uniting AVERAGE.WEIGHTED and SQRT Functions**

Unlike, the previous method we can also unite the **AVERAGE.WEIGHTED** and **SQRT** functions to calculate the standard deviation of weighted variables in Google Sheets. The **AVERAGE.WEIGHTED** function is a built-in function in Google Sheets that serves the purpose of the combination of the **SUMPRODUCT **and **SUM **functions. That’s why in this case we’ll get the output quickly. Moreover, the **COUNTIF** function is also used like the previous method to count the total number of non-zero weights.

**Steps:**

- First of all, insert the following formula in
**Cell E12**–

`=AVERAGE.WEIGHTED(C5:C10,D5:D10)`

- Also, press the
**Enter**button to get the weighted average.

- Further, put the following formula in
**Cell E5**–

`=(C5-$E$12)^2`

- As well as, click the
**Enter**button to get the squared deviation of the values.

- In addition, use the
**Fill****Handle**tool to apply the formula for the rest of the cells in**Column E**.

- Subsequently, you’ll find the squared deviation in all the cells of
**Column E**.

- Then, type the following formula in
**Cell E13**–

`=COUNTIF(D5:D10,"<>0")`

- Next, hit
**Enter**to get the total numbers of non-zero weight (M) present in our dataset.

- After that, write the following formula in
**Cell E14**–

`=SQRT(AVERAGE.WEIGHTED(E5:E10,D5:D10)/((E13-1)/E13))`

- Ultimately, press
**Enter**to get the standard deviation of weighted variables.

**Formula Breakdown**

**AVERAGE.WEIGHTED(E5:E10,D5:D10)**

Earlier on, this function returns the weighted average of the **Cells** from **E5** to **E10** and **D5** to **D10**.

**(E13-1)/E13**

Then, we subtract 1 from **Cell E13** and again divide the output by **Cell E13**.

**SQRT(AVERAGE.WEIGHTED(E5:E10,D5:D10)/((E13-1)/E13))**

Finally, this formula returns the desired standard deviation of weighted variables.

**Read More: ****How to Add Different Standard Deviation Bars in Google Sheets**

**Things to Remember**

- You can put the weights both as percentages or in decimal form. For this, the result would be the same.
- Don’t forget to lock the
**Cell E12**which has the weighted average to calculate the squared deviation in**Column E**.

**Conclusion**

That’s all for now. Thank you for reading this article. In this article, I have discussed 2 suitable methods to calculate the standard deviation of weighted variables in Google Sheets. Please comment in the comment section if you have any queries about this article. You will also find different articles related to google sheets on our **officewheel.com****.** Visit the site and explore more.