Dot Plot and Probability Problem

Dot Plot and Probability Problem

Secondary 2

The table shows the number of books read by \(20\) students in a class in a particular month.

\(0\)

\(3\)

\(1\)

\(3\)

\(5\)

\(2\)

\(3\)

\(2\)

\(4\)

\(4\)

\(0\)

\(1\)

\(2\)

\(2\)

\(9\)

\(1\)

\(0\)

\(2\)

\(0\)

\(0\)

  1. Represent the data on a dot diagram.
  2. Briefly describe the distribution of the data.
  3. A student is selected at random. The probability that the student reads at least \(x\) books is \(\frac{1}{5}\) . Find the values of \(x\).

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Answer:(a) Dot counts: \(0:5,\ 1:3,\ 2:5,\ 3:3,\ 4:2,\ 5:1,\ 9:1\) (b) Range \(0\) to \(9\), cluster from \(0\) to \(5\), outlier \(9\), modes \(0\) and \(2\) (c) \(x=4\) books

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