How to Calculate Standard Deviation (Uncertainty) for Measured Values

To find the uncertainty in our measurements, we will often calculate the standard deviation of the measured values. In this video I explain how to calculate standard deviation (uncertainty) from measured values.

Note: The final range should be 3.40 to 3.48.

[absentvictim]

I was nervous when I saw equations like this come up in my physics 1 lab so I stopped and came to YouTube. This video made it look very easy! Thank you for this great explanation!

[hzsomkr]

Thank you for the informative video, If the equipment errors is larger than the standard deviation? how do we write the uncertainty value for the final results?

[lc-tech]

Thank you sir best wishes from Sri Lanka 🇱🇰

[HannoWg]

One of the best illustrations i have ever seen for explaining uncertainty.

Keep up .

[kandpalpreeti]

Yes. nice explanation but it think it should be in a range of 3.40 - 3.48 (as it is +- 0.04 and 3.44 is the average value)

[scienceu]

Thank you so much I did uncertainty calculations for my ICP-MS AND ICP-OES your video helped me very much.

[laurencooper]

really nice description - i think i FINALLY feel comfortable with this

[parindyahitharshi]

Thank you so much. I was basically lost in this equation but you made everything very clear.

[pandacutiesuperstar]

Thanks! I was really lost in lab and this clarified a lot!

[davenandrew]

Thank you Sir. Your video is very helpful .

[cameroonpoe]

Very helpful, thank you so much. I have struggled to distinguish those for quite some time.

[prakharjain]

Hello is this as per NABL guidelines ? and what is the difference between Standard Deviation, Uncertainty, Acceptable error and Tolerance ? In this video you explained uncertainty for 3.40 is ±0.4 is this also the acceptable error limit. I also want a clarification on all this parameters. Thanking you, Awaiting for your reply.

[awadibrahim]

Very nice, this is standard deviation or uncertainty calculation or both are same?

[madusurplus]

Is there a difference between standard uncertainty and uncertainty or are they the same thing

[onlybelievechristianassemb]

how 0.0016 to two significant figures is 2 * 10 pwr - 3 ... is beyond me

[muneshjadaun]

In end x bar value not put in formula please tell me

[mohamedgamal]

Dear, shouldn't we write the final answer as 3.4 instead of 3.44 since the uncertainty has one sig fig. ?

[hazimalkurishy]

IF YOU HAVE more math examples as a pdf could you please uploaded here

[mustaqeemalmahdi]

Sir I had a did u use the sample variance formula instead of the standard deviation for population formula?

[mrganesan]

used your method for my reports.
Thanks