This deep dive covers Creating Box Plots within Box Plots for GCSE Mathematics. Revise Box Plots in Statistics for GCSE Mathematics with 18 exam-style questions and 20 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 4 of 10 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 10
Practice
18 questions
Recall
20 flashcards
Creating Box Plots
Step 1: Find the Five-Number Summary
- Arrange data in order: Sort from smallest to largest
- Find the median (Q2): Middle value of the dataset
- Find Q1: Median of the lower half
- Find Q3: Median of the upper half
- Identify minimum and maximum: Smallest and largest values
Example: Finding Five-Number Summary
Data: 12, 15, 18, 22, 25, 28, 30, 35, 38, 42, 45
Step-by-step:
• n = 11 (odd number)
• Median (Q2): 6th value = 28
• Lower half: 12, 15, 18, 22, 25 → Q1 = 18
• Upper half: 30, 35, 38, 42, 45 → Q3 = 38
• Minimum: 12
• Maximum: 45
Five-number summary: 12, 18, 28, 38, 45
Step-by-step:
• n = 11 (odd number)
• Median (Q2): 6th value = 28
• Lower half: 12, 15, 18, 22, 25 → Q1 = 18
• Upper half: 30, 35, 38, 42, 45 → Q3 = 38
• Minimum: 12
• Maximum: 45
Five-number summary: 12, 18, 28, 38, 45