Mathematics Watch

Laurenp2013
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#1
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I know rather basic, but when working out averages such as means, do you work with decimal places or significant figures? Because you are adding all the data it should be decimal places, but you are also dividing by the amount of data you have, which dividing normally means significant figures...help! Thanks for any help
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brianeverit
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(Original post by Laurenp2013)
I know rather basic, but when working out averages such as means, do you work with decimal places or significant figures? Because you are adding all the data it should be decimal places, but you are also dividing by the amount of data you have, which dividing normally means significant figures...help! Thanks for any help
It could be either depending on the data and the accuracy required.
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Laurenp2013
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Levels of water, accuracy 0.5 mm, all taken to 2 sig figs, surely be sig figs? Am I right?
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TenOfThem
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(Original post by Laurenp2013)
Levels of water, accuracy 0.5 mm, all taken to 2 sig figs, surely be sig figs? Am I right?
If you are saying that the data has been given to 2sf then, yes, your answers should be to 2sf
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Laurenp2013
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(Original post by TenOfThem)
If you are saying that the data has been given to 2sf then, yes, your answers should be to 2sf
Yes just uncertain because means you add all data, normal when adding, you look at decimal places, only / and x you look at sig figs. I'm probably just over thinking it!
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TenOfThem
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(Original post by Laurenp2013)
Yes just uncertain because means you add all data, normal when adding, you look at decimal places, only / and x you look at sig figs. I'm probably just over thinking it!
it seems odd that the data is given to 2sf

does that mean the data differs greatly in size, do you have 56. 3.5. 290 for example
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Laurenp2013
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(Original post by TenOfThem)
it seems odd that the data is given to 2sf

does that mean the data differs greatly in size, do you have 56. 3.5. 290 for example
smaller values, 4.5, 3.5. Took the measurements to 0.5 mm graduations so uncertainty was o.5 mm.
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TenOfThem
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(Original post by Laurenp2013)
smaller values, 4.5, 3.5. Took the measurements to 0.5 mm graduations so uncertainty was o.5 mm.
if they are all 3.5, 4,5, 6,5 etc then you could treat them as 1dp anyway
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Laurenp2013
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(Original post by TenOfThem)
if they are all 3.5, 4,5, 6,5 etc then you could treat them as 1dp anyway
But if I need to say which one it is, I can't just say dec pl if its sig fig, if you see what i mean? ...Oh I wish there was a handbook of this all, with every mathematical answer :/
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Laurenp2013
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I don't know, my measuring jug is past it as well...but really if i'm working out a mean then doing a calculation for steam evaporation....if I wait until, I work out the Specific Capacity of water should be okay I'll just follow what I think. I am over thinking it too much I believe!
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