Tree heights and a suitable diagram

Tree heights and a suitable diagram

Secondary 2
6 marks
TGM Original Questions

Core stretch

Tree heights are shown.

StemLeaf
\(12\)\(2\) \(5\) \(8\)
\(13\)\(1\) \(4\) \(4\) \(7\) \(9\)
\(14\)\(0\) \(2\) \(5\) \(5\) \(5\)
\(15\)\(1\) \(3\) \(6\) \(8\) \(9\)
\(16\)\(2\) \(4\)

Key: \(12|2=122\) cm.

    1. Find the mode.[1]
    2. Find the fraction above 150 cm.[1]
    3. Among the bottom 20% when ordered, find the tallest height.[1]
  2. Choose a dot plot or histogram, justify, and draw it.[3]

Solution:

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Answer:(a)(i) \(145\) cm (ii) \(\frac{7}{20}\) (iii) \(131\) cm (b) dot plot, with one dot per listed height.

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