Exam Tips for Box Plots

Part of Box Plots ยท Section 8 of 11

Exam TipsUnit: StatisticsGCSE

Drawing Box Plots:

  • Use a ruler: Draw neat, straight lines
  • Equal scale: Use consistent spacing on your number line
  • Clear markers: Mark all five values clearly
  • Proper proportions: Box and whisker lengths should reflect actual data
  • Vertical alignment: Keep everything at the same height

Finding Quartiles:

  • Even n: Split data exactly in half, find medians of each half
  • Odd n: Exclude the overall median, find medians of each half
  • Double-check: Q1 < Median < Q3 always
  • Calculator method: Learn your calculator's quartile functions

Interpretation:

  • Compare medians: For typical values
  • Compare IQRs: For consistency
  • Look at skewness: Position of median in box
  • Consider context: What do the numbers represent?

This exam tips covers Exam Tips for 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 8 of 11 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Practice questions for Box Plots

On a box plot, what does the box (the rectangle) represent?

  • A. The interquartile range โ€” the spread of the middle 50% of the data
  • B. The full range of the data from minimum to maximum
  • C. The top 25% of the data only
  • D. The median value of the data
1 markfoundation

Two athletics clubs record the 100m sprint times (in seconds) for their members. The five-number summaries are shown below. Club A: Min = 11.2, Q1 = 12.4, Median = 13.1, Q3 = 14.2, Max = 16.5 Club B: Min = 12.0, Q1 = 13.5, Median = 14.8, Q3 = 16.1, Max = 17.3 Compare the distributions of sprint times for the two clubs. You must use the data to support your answer. (3 marks)

3 marksstandard

Quick recall flashcards

What is the five-number summary?
The five-number summary consists of: 1. Minimum (smallest value) 2. Q1 (lower quartile) 3. Median (middle value) 4. Q3 (upper quartile) 5. Maximum (largest value)
What is a box plot?
A box plot (or box-and-whisker diagram) is a visual display of the five-number summary of a dataset: minimum, Q1, median, Q3, and maximum. It shows the distribution and spread of data in a compact form.

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