Leaf lengths and category probabilities

Leaf lengths and category probabilities

Secondary 2
5 marks
TGM Original Questions

For the probability calculation, each leaf in the stated group is equally likely to be selected.

Thirty leaf lengths, in cm, are 5, 8, 12, 14, 17, 21, 24, 29, 31, 35, 7, 9, 13, 15, 18, 22, 25, 30, 33, 38, 6, 10, 12, 16, 19, 23, 27, 28, 32, 36.

  1. Construct a stem-and-leaf diagram.[3]
  2. A leaf is long if it exceeds 28 cm and short if it is below 14 cm. Find
    1. long : short,[1]
    2. the probability that a selected leaf is neither long nor short.[1]

Solution:

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Answer:(a) See worked solution, key \(2|1=21\) cm (b)(i) \(8:9\) (ii) \(\frac{13}{30}\).

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