To determine the average resistance based on the collected data from each trial, we will follow these steps:
1. List the resistances from each trial:
- Resistance from Trial 1: 410 ohms
- Resistance from Trial 2: 402 ohms
- Resistance from Trial 3: 409 ohms
- Resistance from Trial 4: 405 ohms
2. Calculate the sum of the resistances:
[tex]\[
410 \, \text{ohms} + 402 \, \text{ohms} + 409 \, \text{ohms} + 405 \, \text{ohms}
\][/tex]
3. Divide the sum by the number of trials to find the average resistance:
[tex]\[
\frac{410 + 402 + 409 + 405}{4}
\][/tex]
Summing these values:
[tex]\[
410 + 402 + 409 + 405 = 1626 \, \text{ohms}
\][/tex]
Dividing by the number of trials (4):
[tex]\[
\frac{1626}{4} = 406.5 \, \text{ohms}
\][/tex]
4. Round the average resistance to three significant figures:
The value 406.5 is already in three significant figures since all digits contribute to the significance in this case.
Therefore, the average resistance, rounded to three significant figures, is [tex]\( 406.5 \, \text{ohms} \)[/tex].
