Year 8 Science · Unit 4 · Lesson 8
Challenge Worksheet
Learning Goals
Read the graph
Four students each threw 5 darts at a target. Each student's results are shown in the dot-cluster diagrams below. The bullseye = the true value (100 points). Answer the three questions that follow.
Student A
Student B
Student C
Student D
(a) Complete this table classifying each student. Write "Yes" or "No" in each cell and identify the type of error (random, systematic, or none).
| Student | Accurate? | Precise? | Main error type |
|---|---|---|---|
| A | |||
| B | |||
| C | |||
| D |
(b) Student A is the most consistent thrower but consistently misses the centre. What change to their technique or equipment would improve accuracy without reducing precision?
Design challenge
A student wants to accurately and precisely measure the boiling point of seawater. The accepted value is approximately 102°C (slightly higher than pure water due to dissolved salts). The student has a standard laboratory thermometer, a Bunsen burner, a 250 mL beaker and access to a calibration reference of 100°C (boiling pure distilled water).
(a) Describe a calibration step the student should perform before measuring the seawater. Why does this step help achieve accuracy rather than just precision?
(b) How many trials should the student perform to achieve reliable results? Explain what reliability means and what calculating the mean and range of repeated trials tells you.
(c) After 5 trials, the student finds all readings are consistently 1.5°C too low (e.g. 100.5°C instead of ~102°C). What type of error is this, and what should the student do to find and fix it? Would repeating trials 10 more times solve the problem?
(d) The student's final 5 corrected readings are: 102.1°C, 101.9°C, 102.0°C, 102.2°C, 101.8°C. Report the final result to the correct number of significant figures and state whether the results are accurate, precise, or both. Justify with the data.
Wrap Up
In one sentence, what was the main idea of this lesson?