Question

1. how warm is a human body?

student 1 measurement: 35.4 °c
student 2 measurement: 35.1 °c
student 3 measurement: 35.3 °c
student 4 measurement: 33.7 °c
average
uncertainty
percentage of uncertainty

Explanation:

Step1: Calculate the average

The formula for the average $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the individual measurements and $n$ is the number of measurements. Here, $n = 4$, $x_1=35.4$, $x_2 = 35.1$, $x_3=35.3$, $x_4 = 33.7$. So, $\bar{x}=\frac{35.4 + 35.1+35.3+33.7}{4}=\frac{139.5}{4}=34.875^{\circ}C$.

Step2: Calculate the uncertainty

The uncertainty $\Delta x=\frac{\text{Max value}-\text{Min value}}{2}$. The max value is $35.4^{\circ}C$ and the min value is $33.7^{\circ}C$. So, $\Delta x=\frac{35.4 - 33.7}{2}=\frac{1.7}{2}=0.85^{\circ}C$.

Step3: Calculate the percentage of uncertainty

The percentage of uncertainty $=\frac{\Delta x}{\bar{x}}\times100\%$. Substituting the values of $\Delta x$ and $\bar{x}$, we get $\frac{0.85}{34.875}\times 100\%\approx2.44\%$.

Answer:

Average	Uncertainty	Percentage of uncertainty