Analytical Report: Comparative Class Performance Statistics
Analytical Report: Comparative Class Performance Statistics
Secondary 4
The test results of a class of students are shown below.
| Marks | \(1-5\) | \(6-10\) | \(11-15\) | \(16-20\) | \(21-25\) |
|---|---|---|---|---|---|
| Frequency | \(0\) | \(3\) | \(27\) | \(8\) | \(2\) |
- Calculate an estimate of
- the mean marks,
- the standard deviation of the marks.
- If the mean and standard deviation for the entire school’s results in the same test are \(13.5\) marks and \(2.1\) marks respectively. Compare briefly, the class results against the entire school’s results.
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Answer:(a)(i) 14.125 marks. (ii) 3.26 marks (3 s.f.). (b) The class has a higher mean but a higher standard deviation, so it performed better on average but was less consistent.
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