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Standard Deviation - Manual vs. Excel Formula

Our take

In this discussion, we delve into the nuances of calculating standard deviation in Excel, comparing manual methods with the built-in =STDEV.S function. The left side of the image shows a standard deviation of 0.12 using Excel's formula, while the manual calculation appears to yield a different result. The manual approach follows a clear six-step process, yet discrepancies arise despite both methods employing the "n-1" technique. Let's explore what might be causing this inconsistency and clarify how to ensure accurate results in your calculations.

Hi all,

Having some issues with understanding how Excel is calculating the data for SD. Tried it using both manually and using the =STDEV.S function.

https://preview.redd.it/a5y2rc12c1vg1.png?width=1388&format=png&auto=webp&s=2dda4cc8f87617ed6b33108ee30f690b7f561004

Left hand side: S.D is 0.12 (=STDEV.S)

Right hand side: using this method:

  • Step 1: Find the mean.
  • Step 2: Subtract the mean from each score.
  • Step 3: Square each deviation.
  • Step 4: Add the squared deviations.
  • Step 5: Divide the sum by one less than the number of data points.
  • Step 6: Take the square root of the result from Step 5.

Now, as you can see in yellow, the values don't match. I verified that the =STDEV.S is using the "n-1" method, which matches my manual method.

Any idea what I'm missing here?

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