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The whole purpose of the lab is to find the density and its errors using something about partial derivatives. Now bear with me here, I'm just starting calculus 2 this semester and as far as i know, we haven't learned anything about partial derivatives yet. My physics professor is one of those guys who uses all of these complicated words and formulas when he explains something and all i really want is a straight forward answer "for dummies"

So lets start with an example, and someone please walk me though how to solve it.

In lab we measured a ball that was 1cm in diameter.

the 6 separate measurements were 1.000cm,1.005cm,1.010cm,1.005cm,1.000cm,1.010cm

giving:

mean = 1.005

std dev = .0044721

mass = 1.8g +/- .1g

Can someone please 1) calculate volume with error. 2) calculate density with its error. 3) explain in an easy to understand manner?

All i really need to know is how to find the density and its error for this lab.

sorry if this is in the wrong place and for not using the format provided.