We can use the DEVSQ function to calculate the sum of squares of deviations from the mean value of a data range. The steps below will walk through the process.
Figure 1: How to Use the DEVSQ Function
Syntax
=DEVSQ([number1], [number2], [number2] ...)
Formula
=DEVSQ(A4:A11)
Setting up the Data
- We will set up the data by inputting the MASS into Column A
- We will put the deviation of the values in Column B
- Column C will contain the squared deviation of the values
- Column D contains the average mass
- Cell B13 is where our result with the DEVSQ function will be returned
Figure 2: Setting up the Data
Using the DEVSQ function
- We will click on Cell B13
- We will insert the formula below into the cell
=DEVSQ(A4:A11)
We will press the enter key
Figure 3: Result with the DEVSQ Function
Alternative Long Method
Calculating the Average Mass
- We will click on Cell D4
- We will insert the formula below into the cell
=AVERAGE(A4:A11)
We will press the enter key
Figure 4: Average Mass of the Data
Calculating the Deviation
- We will click on Cell B4
- We will insert the formula below into the cell
=A4-$D$4
We will press the enter key
Figure 5: Deviation Value for Data in Cell A4
- We will click on Cell B4 again
- We will double-click on the fill handle (the small plus sign at the bottom right of Cell B4) and drag down to copy the formula into the other cells
Figure 6: Deviation Values
Calculating the Squared Deviation
- We will click on Cell C4
- We will insert the formula below into the cell
=B4^2
- We will press the enter key
Figure 7: Squared Deviation Value for Data in Cell B4
- We will click on Cell C4 again
- We will double-click on the fill handle (the small plus sign at the bottom right of Cell C4) and drag down to copy the formula into the other cells
Figure 8: Squared Deviation Values
- We will sum the squared deviation by inserting the formula below into Cell C12
=SUM(C4:C11)
We will press the enter key
Figure 9: Sum of Squared Deviation Values
We can see that the result from the alternative method which is longer is the same with the first method.
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