Mean, pass rate and cohort estimate from stems
Mean, pass rate and cohort estimate from stems
Secondary 2
5 marks
TGM Original Questions
Give percentages correct to 3 significant figures where necessary.
Scores are shown.
| Stem | Leaf |
|---|---|
| \(1\) | \(4\) \(8\) |
| \(2\) | \(2\) \(5\) \(5\) \(7\) \(9\) |
| \(3\) | \(1\) \(3\) \(6\) \(8\) |
| \(4\) | \(0\) \(2\) \(4\) \(5\) \(7\) |
| \(5\) | \(1\) \(4\) |
Key: \(1|4=14\).
- Find the mean.[2]
- The pass mark is 32; find the percentage who passed.[1]
- In a cohort of 270, estimate how many score below 25 and need remediation.[2]
Solution:
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Answer:(i) \(34.5\) (ii) \(55.6\%\) (iii) \(45\) students.
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