Statistical Analysis of Examination Performance
Statistical Analysis of Examination Performance
Secondary 4
The cumulative frequency curve shows the marks obtained by \(250\) pupils in school \(X\) in a particular examination. The maximum mark is \(80\).
Cumulative frequency curve of marks obtained by pupils
- If \(\frac{3}{5}\) of the pupils passed the examination, what is the passing mark?
- The cumulative frequency curve can be represented in the following frequency table.
| Marks obtained by pupils, \(x\) | No. of pupils |
|---|---|
| \(0 \le x < 20\) | \(30\) |
| \(20 \le x < 40\) | \(p\) |
| \(40 \le x < 60\) | \(q\) |
| \(60 \le x < 80\) | \(20\) |
Find the value of \(p\) and of \(q\).
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Answer:(a) \(40\) marks. (b) \(p=70\), \(q=130\).
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