Indirect Measurement

Choose a spherical object and measure its radius multiple times with a caliper. Write the results in the following tables:

Questions :
1- Calculate the mean measured value. ρ ̅ =14.16
2- Calculate the error mean absolute ∆ρ ̅ =0.11
3- Calculate the mean squared uncertainty σ=0.13
4- Calculate the absolute uncertainty and relative v ̅ = 1.97..................∆v=0.03
5- gives the expressions of absolute uncertainty ∆ρ ̅ as a function of v, m, ∆v and ∆m
6- Calculate the absolute uncertainty and relative ∆ρ= 0.04..........∆ρ/ρ ̅= 0.002
7 - Write the measured value in the fom : ρ = ρ ̅±∆ρ; ρ = 14.16±0.04