PHY131/121L Pre-Lab: Measurements & Uncertainties Name:

Given the following one set numbers: please calc the average and the associated uncertainty.
23.5 24.1 23.9 23.3	22.7 23.2 22.5 24.1

Sx/n +/- dx dx = difference in extreme values / 2

From Appendix C-12 Show step by step procedure to calculate uncertainty in 2 d, e, & f Calculation Uncertainty Part of Calc.
example ρ = m = m = 6546 ± 30 . V p r^2 h p (7.40 ± .1)^2 (14.1 ± .3)
Perform the math ignoring uncertainty 6546 . = 2.70 g /cc p 7.4^2 *14.1 2.70 ± (2.7*5.3%) 2.70 ± 0.14 g / cc Or 2.7 ± 0.2 g / cc	Since there is not a + or -, this is just a one step problem. 30 / 6546 + 2(0.1 / 7.4) + 0.3 / 14.1 = 0. 5 % + 2.7 % + 2.1 % = 5.3% Thus the uncertainty is 5.3%
g. (26.72 ± 0.05) – (13.8 ± 0.2) (4.11 ± 0.03)^2
h. (13.31 ± 0.04) + (4.5 ± 0.2) 12.23 ± 0.05
i. (p / 4) * [(4.65mm ± 0.03mm)^2 * (6.7cm ± 0.1cm)