Mean, pass rate and cohort estimate from stems

Mean, pass rate and cohort estimate from stems

Secondary 2
TGM Original Questions

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. The pass mark is 32; find the percentage who passed.
  3. In a cohort of 270, estimate how many score below 25 and need remediation.

Solution:

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Answer:(i) \(34.5\); (ii) \(55.6\%\); (iii) \(45\) students.

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