D3.2.15—Box-and-whisker plots

Box-and-whisker plots summarize variation using median, quartiles, range and outliers for comparing data distributions in inheritance problems in inheritance problems.

Syllabus
First assessment 2025
Objective
D3.2.15
Level
SL

Exam analysis

Chance of appearing1%of analysed past papers
Latest appearanceMay 2025
Most common paperPaper2
Typical marks1–3

Common command terms

  • State
  • Determine
  • Deduce

Recent exam appearances

May 2025Paper2 ["SL"] · TZ31(f)[ 3 ]D3.2.15—Box-and-whisker plots
May 2025Paper2 ["SL"] · TZ31(e)[ 1 ]D3.2.15—Box-and-whisker plots
May 2025Paper2 ["SL"] · TZ31(d)[ 1 ]D3.2.15—Box-and-whisker plots
Practice this objective

Coverage 2025–2025 · Updated 16 Jul 2026

Read Box Plots Using Quartiles and the IQR

A box-and-whisker plot summarizes a continuous dataset using the minimum, lower quartile (Q1), median, upper quartile (Q3), maximum and any plotted outliers.

IQR=Q3Q1.Avalueisanoutlierbythe1.5IQRruleifitisbelowQ11.5(IQR)oraboveQ3+1.5(IQR).IQR = Q3 − Q1. A value is an outlier by the 1.5-IQR rule if it is below Q1 − 1.5(IQR) or above Q3 + 1.5(IQR).

The box spans the middle 50% of observations, its internal line is the median, and whiskers show the non-outlying range when outliers are plotted separately.

To compare two student-height samples, compare their medians for centre, their IQRs for spread, their total non-outlying ranges and any outliers.

A longer box means a larger IQR, not necessarily a larger sample. A box plot does not display every observation or prove that two groups differ significantly.

Box-and-whisker plots

Assessment in practice

1 marks
How it is assessed

This objective is assessed through data analysis, commonly using State / Determine / Deduce.

Command terms

State / Determine / Deduce

What earns marks

Build the answer around this relationship: The median is the central line, not the mean.

Representative question

Question 1

[Maximum number: 3]

Using the data, deduce whether the incidence of CHF or the incidence of anemia has a greater effect on the blood hepcidin concentration.

Retrieve the Core Inheritance Route

Core D3.2 is secure when the student can move from allele rules into predictions and evidence: gametes form genotypes, genotypes can produce phenotypes, different dominance patterns need different notation, and pedigrees or plots require evidence-based interpretation.

  • haploid gametes carry one allele and fertilization restores a diploid genotype
  • dominance, codominance, incomplete dominance, environment, and plasticity affect the observed trait
  • PKU, ABO, sex determination, and haemophilia use different inheritance rules and notation
  • pedigrees infer inheritance patterns and box plots summarize continuous variation

Solve Core Inheritance Questions

Core inheritance exam questions reward disciplined reasoning. First identify the inheritance rule, then write the correct notation or evidence, then state the phenotype, ratio, or conclusion. This prevents the common mistake of writing definitions without solving the genetic problem.

  • Use allele and genotype notation correctly for monohybrid, ABO, PKU, haemophilia, and sex-determination contexts.
  • Connect genotype, dominance pattern, environment, or plasticity to phenotype.
  • Use pedigree or box-plot evidence to justify an inheritance or variation conclusion.

Concept essentials

  • The median is the central line, not the mean.
  • The box represents the interquartile range.
  • Overlap and spread matter when comparing distributions.