Series & Parallel Circuits
1. This question has 4 part(s).
1.1. A student investigated how the total resistance of a circuit varied with resistors placed in parallel.
Figure 1 shows the circuit the student used.
Figure 1

The resistance of each resistor is identical.
The student used an ohmmeter to measure the total resistance.
The student took multiple readings and calculated a mean.
Table 1 shows their results.
Table 1
Number of resistors | Total resistance in ohms | |||
Reading 1 | Reading 2 | Reading 3 | Mean | |
3 | 17.4 | 17.9 | X | 17.7 |
Determine the missing value X for Reading 3.
1.2. Explain how calculating a mean increases the accuracy of the data.
1.3. The student took a fourth reading.
Reading 4 = 15.2 Ω
The student's partner said that Reading 4 should not be included in the mean.
Justify whether you agree with the student's partner.
1.4. The student plotted a graph of the data they produced in their investigation. Figure 2 shows the graph.
Figure 2

Use the graph in Figure 2 to identify the relationship between the mean total resistance and the number of resistors in parallel.
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