StatisticsDeep Dive

Interpreting Box Plots

Part of Box PlotsGCSE Mathematics

This deep dive covers Interpreting 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 6 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 6 of 10

Practice

18 questions

Recall

20 flashcards

Interpreting Box Plots

What Each Part Tells You

  • Box width (IQR): Spread of middle 50% of data
  • Median position in box: Symmetry of middle 50%
  • Whisker lengths: Spread of extreme values
  • Overall width: Total range of data

Skewness from Box Plots

  • Symmetric: Median in center of box, equal whisker lengths
  • Positive skew: Median left of center, longer right whisker
  • Negative skew: Median right of center, longer left whisker

Comparing Distributions

Location: Compare medians for typical values
Spread: Compare IQRs for consistency
Range: Compare whisker spans for extremes
Shape: Compare skewness patterns

Keep building this topic

Read this section alongside the surrounding pages in Box Plots. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Box Plots

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

  • A. The interquartile range — 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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