StatisticsDeep Dive

Interpreting Box Plots

Part of Box Plots · GCSE GCSE Mathematics revision

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 11 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 11

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.

18 questions on Box Plots — practise free

Instant marking, adaptive difficulty, and 20 spaced repetition flashcards. Free until your GCSEs.

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