StatisticsExam Tips

Exam Tips for Box Plots

Part of Box Plots — GCSE Mathematics

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 10 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 8 of 10

Practice

18 questions

Recall

20 flashcards

💡 Exam Tips for Box Plots

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?

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.