In this article, we will learn about how to use the DEVSQ function in Excel that returns the sum of squares of deviations of data points from their sample mean.
What is the DEVSQ function? What is sum of squared deviations?
DEVSQ function is a built-in function to calculate the sum of squared deviations from the mean or average of the range of data values provided. The DEVSQ for the set of values is calculated using the formula shown below.
Here:
DEVSQ function in excel returns a number which is the sum of squared deviation from average or mean of the input numbers dataset
Syntax of DEVSQ function:
value 1 : First value ( necessary )
value 2 : Second value ( optional ). The values can be given using cell reference.
Example:
All of these might be confusing to understand. So, let's test this formula via running it on the example shown below. Here we have some random data values to test the DEVSQ function in Excel.
Here we have a range of values from E2:E20 cell and we need to get the sum of squared deviation from average or mean for the same range using the below formula
Use the formula:
See the formula in the cell. Here array value arguments to the function are given using the cell reference method. Using the above formula in the cell to get the DEVSQ of the range values.
The sum of squared deviation from the Average or mean for the random data values considering all number values using DEVSQ is 868206.6 and AVERAGE function returns the same result 102.5789 for the same data set values.
Let's see how the funtion returns the result.
First of all take the average of the range in G6 cell. Then take the difference with the mean with each value in range and square it.
Use the formula:
Here G6 is freezed at $G$6 cell which is the mean or average of the range. And D2, D3 will be each value squared of the value using ( ^ 2).
Now Take the sum of the values.
Both values return the same result. And this is what the DEVSQ function does.
Here are some observational notes shown below.
Notes :
Hope this article about How to use the DEVSQ function in Excel is explanatory. Find more articles on statistical function formulas here. If you liked our blogs, share it with your fristarts on Facebook. And also you can follow us on Twitter and Facebook. We would love to hear from you, do let us know how we can improve, complement or innovate our work and make it better for you. Write to us at info@exceltip.com.
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