Finding The Mean From A Dot Diagram

Finding The Mean From A Dot Diagram

Secondary 2

The following data shows the number of hours \(24\) students of a class spent studying per day.

\(3\)

\(3\)

\(4\)

\(6\)

\(1\)

\(4\)

\(0\)

\(2\)

\(3\)

\(1\)

\(0\)

\(4\)

\(5\)

\(4\)

\(5\)

\(6\)

\(0\)

\(3\)

\(2\)

\(0\)

\(3\)

\(0\)

\(3\)

\(3\)

  1. Using the grid below, draw a dot diagram to represent the above data.
  2. Calculate the mean number of hours the students spent studying.
  3. If the above data was presented on a pie chart, what is the size of the angle that represents the number of students who study at least \(3\) hours a day?
  4. What is the probability of a student studying \(4\) hours a day?
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Answer:(a) Dot frequencies \(0:5,\ 1:2,\ 2:2,\ 3:7,\ 4:4,\ 5:2,\ 6:2\) (b) \(2\frac{17}{24}\) hours (c) \(225^\circ\) (d) \(\frac{1}{6}\)

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