Noor H.

asked • 01/01/17# How to calculate error of a percentage difference?

I calculated a percentage and I need to find out the error of that percentage.

Example: Percentage difference is 10%. How do I find out the plus or minus error? So get something like this "0.41 ± 0.03%

Example: Percentage difference is 10%. How do I find out the plus or minus error? So get something like this "0.41 ± 0.03%

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## 1 Expert Answer

Dan B. answered • 01/02/17

Tutoring and Mentoring for Adults: Excel, SQL, Python, Data Science

Hi Noor:

You cannot answer this question with just the information given. For example, there might be a 10% difference between sets of results from a physics lab that are very precise, and the error could be very small. A sociologist might see a 10% difference on survey results, but since the survey results cover a broad range, the error could be very large. Such a calculation must include the variance of the data. In simple terms, how widely do the individual results vary from the mean that was used to calculate the percentage difference.

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Michael J.

01/01/17