Question

1. what is the thickness of this paper?

student 1 measurement	student 2 measurement	student 3 measurement	student 4 measurement	student 5 measurement
average	uncertainty	percentage of uncertainty

Explanation:

Step1: Calculate the average

The average of a set of numbers $x_1,x_2,x_3$ is $\bar{x}=\frac{x_1 + x_2+x_3}{n}$, where $n = 3$, $x_1=0.09$, $x_2 = 0.08$, $x_3=0.05$.
$\bar{x}=\frac{0.09 + 0.08+0.05}{3}=\frac{0.22}{3}\approx0.073$ mm

Step2: Calculate the uncertainty

The uncertainty $\Delta x$ for a small - number of measurements is estimated as the range of the data divided by 2. The range $R=x_{max}-x_{min}$, where $x_{max}=0.09$ and $x_{min}=0.05$. So $R = 0.09 - 0.05=0.04$, and $\Delta x=\frac{0.04}{2}=0.02$ mm

Step3: Calculate the percentage of uncertainty

The percentage of uncertainty $=\frac{\Delta x}{\bar{x}}\times100\%$. Substituting $\bar{x}\approx0.073$ and $\Delta x = 0.02$ into the formula, we get $\frac{0.02}{0.073}\times100\%\approx27.4\%$

Answer:

Average	Uncertainty	Percentage of uncertainty