Doing a physics lab and need to propagate uncertainty for experimental results. i need the uncertainty in order to add it to my scatter plot for the error bars, therefore, i need both a positive and a negative error value. how is this done for my data? show all work
373.67 +/- 15.444
210 +/- 12.82
239.33 +/- 19.98
443.67 +/- 17.99

Explanation:

Not really sure what you're trying to do. You propagate uncertainties for indirect measurements, as in when you calculate a value from other values.

What you have here is a series of values of direct measurements it seems.

Anyway, for error bars will have a width of 2 times the uncertainty reported.

For example on the first one

373.67 +/- 15.444

You would have an error bar with a width of 2 * 15.444 = 30.888. This bar would be centered at 373.677. The lowest point of the error bar would be at 358.233 and the highest point at 389.121.

You also mentioned a scatter plot, but scatter plots are 2D at least. Are these measurements associated to something else like time? You need 2 coordinates for each point in a scatter plot.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y