A sixty-student quiz distribution

A sixty-student quiz distribution

Secondary 2
10 marks
TGM Original Questions

The numbers of correct answers obtained by students in a quiz are 7, 8, 9, 10, 11, 12 and 13, with respective frequencies 5, 8, 12, 14, 10, 7, 4. Find

  1. how many scored below 10,[1]
  2. the mode, median and mean,[4]
  3. the pie angle for score 12,[1]
  4. A student is selected at random. Find the probabilities that the student obtained at least 9 and at most 11 correct answers, respectively.[2]
  5. the bar height for score 8 if the score-10 bar is 2.8 cm.[2]

Solution:

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Answer:(a) \(25\) (b) mode \(10\), median \(10\), mean \(\frac{593}{60}\approx9.88\) (c) \(42^\circ\) (d) \(\frac{47}{60},\frac{49}{60}\) (e) \(1.6\) cm.

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