Constructing a Box Plot from Class Data

00:00 3 marks

  • Build Confidence
  • SL & HL
  • Tier 2
  • Quartiles
  • Median
  • Interquartile Range (IQR)
  • Box-and-whisker plot

The following dataset represents the number of hours studied per week by ten students in a class: 2, 3, 4, 5, 5, 6, 7, 8, 9, 10. Construct a box-and-whisker plot for this data. Show all calculations for the median, Q1, Q3, and IQR.

Hint Hint

Hint

Ensure the data is in ascending order (it is already provided). Calculate the median first, then determine Q1 and Q3 as the medians of the lower and upper halves respectively. Finally, calculate the IQR and identify the minimum and maximum values for the whiskers.

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Complete Answer

Q1 = 4, Median = 5.5, Q3 = 8, IQR = 4. Box plot with min = 2, max = 10, and calculated quartiles.

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