StatisticsExam Tips

Common Mistakes to Avoid

Part of Box PlotsGCSE Mathematics

This exam tips covers Common Mistakes to Avoid 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 10 of 10 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 10 of 10

Practice

18 questions

Recall

20 flashcards

⚠️ Common Mistakes to Avoid

Calculation Errors:

  • Wrong quartile method: Including/excluding median incorrectly
  • Unsorted data: Not arranging data in order first
  • Mixed up quartiles: Q1 should be smaller than Q3

Drawing Errors:

  • Wrong scale: Not using consistent spacing
  • Box proportions: Making box too wide or narrow
  • Median outside box: Median must be inside the Q1-Q3 box

Interpretation Errors:

  • Confusing IQR with range: IQR is Q3-Q1, range is max-min
  • Overinterpreting small differences: Consider the context and scale
  • Ignoring outliers: Outliers can significantly affect conclusions

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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