Descriptive Statistics: Box Plot Construction and Interpretation

Descriptive Statistics: Box Plot Construction and Interpretation

Secondary 4

The stem-and-leaf diagram shows the masses of \(21\) students.

  1. Write down the modal mass.
  2. Calculate the percentage of the students who weigh at least \(55\text{ kg}\).
  3. The box-and-whisker plot for the above distribution is shown below. Write down the value of \(a\) and of \(b\).
Box-and-whisker plot for mass distribution
Box-and-whisker plot for mass distribution

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Answer:(a) 48. (b) 42 6/7% (approximately 42.9%). (c) a = 48, b = 54.

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