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.

StemLeaf
\(1\)\(4\) \(8\)
\(2\)\(2\) \(5\) \(5\) \(7\) \(9\)
\(3\)\(1\) \(3\) \(6\) \(8\)
\(4\)\(0\) \(2\) \(4\) \(5\) \(7\)
\(5\)\(1\) \(4\)

Key: \(1|4=14\).

  1. Find the mean.[2]
  2. The pass mark is 32; find the percentage who passed.[1]
  3. 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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