Statistics: Stem-and-Leaf Diagram and Percentage Calculation

Statistics: Stem-and-Leaf Diagram and Percentage Calculation

Secondary 2

The percentage marks obtained by student in a class test are recorded in the table below.

\(35\)

\(58\)

\(85\)

\(45\)

\(63\)

\(65\)

\(75\)

\(48\)

\(29\)

\(38\)

\(59\)

\(67\)

\(69\)

\(68\)

\(55\)

\(90\)

\(81\)

\(78\)

\(74\)

\(70\)

\(58\)

\(70\)

\(62\)

\(72\)

\(71\)

  1. Represent the above data in a stem-and-leaf diagram.
  2. Find the percentage of students who have a mass of at most \(70\) marks.

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Answer:(i) Stem-and-leaf rows: \(2\mid9\), \(3\mid5\,8\), \(4\mid5\,8\), \(5\mid5\,8\,8\,9\), \(6\mid2\,3\,5\,7\,8\,9\), \(7\mid0\,0\,1\,2\,4\,5\,8\), \(8\mid1\,5\), \(9\mid0\). Key: \(7\mid0=70\) marks. (ii) \(68\%\).

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