D3.2 Inheritance

Inheritance explains how alleles, chromosomes, meiosis, pedigrees, linkage, variation and statistical tests predict genetic outcomes across generations in inheritance problems.

Syllabus
First assessment 2025
Topic
D3.2
Level
HL

Gamete Fusion Restores Diploidy

In the sexual life cycle common to eukaryotes, meiosis makes haploid gametes and fertilization fuses two gametes to form a diploid zygote.

Meiosis halves chromosome number from 2n to n. Fusion combines one maternal and one paternal set, restoring 2n without chromosome number doubling in every generation.

A diploid individual normally carries two copies of each autosomal gene, one on each homologous chromosome. Each gamete carries one copy, and the zygote receives two again.

A human sperm and ovum each contain 23 chromosomes; after nuclear fusion the zygote contains 46.

Fertilization combines two haploid sets; it does not copy one gamete or make the zygote genetically identical to either parent.

Haploid gametes + fusion = diploid

Assessment in practice

1 marks
How it is assessed

This objective is assessed through multiple choice, commonly using Identify.

Command terms

Identify

What earns marks

Build the answer around this relationship: Gametes are haploid so fusion can restore the diploid number.

Representative question

Question 1

[Maximum number: 1]

For what reason do gametes contain only one allele of each gene?

A

To prevent inbreeding in a population

B

Haploid cells contain only one set of chromosomes

C

The two alleles of a gene are separated during mitosis

D

Crossing over will always produce one allele of a gene

Use Flowering Plants to Perform Genetic Crosses

A flowering-plant cross transfers pollen carrying male gametes to a stigma so fertilization can combine known parental alleles.

Generation What to do and record
P Choose parents with known contrasting traits and control which pollen reaches the stigma
F1 Grow the first filial offspring and record their phenotype(s)
F2 Cross or self-pollinate suitable F1 plants, then compare observed offspring with a Punnett-grid prediction

Pollen is the practical source of male gametes; female gametes are inside ovules in the ovary. Pea flowers can self-pollinate, which helps maintain pure-breeding lines and produce controlled F2 generations.

Cross two pure-breeding parents with contrasting traits, record a uniform F1, then self-pollinate the F1 and compare the F2 counts with the predicted genotype and phenotype ratios.

A Punnett grid predicts probabilities, not exact counts. Controlled crosses are used in crop and ornamental breeding, but pollination is transfer of pollen, not fertilization itself.

Genetic crosses in flowering plants

Assessment in practice

1 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify.

Command terms

Identify

What earns marks

Build the answer around this relationship: Parental genotypes determine the gametes available in a cross.

Representative question

Question 1

[Maximum number: 3]

L. purpureus can have purple or white flowers. Two pure-breeding varieties were crossed: HA 4 with white flowers and GL 424 with purple flowers. All of the F1F_{1} plants had purple flowers. The F1F_{1} plants were self-pollinated to produce an F2F_{2} generation. There were 97 plants with purple flowers and 38 plants with white flowers in the F2F_{2} generation.

Using a Punnett grid, explain the results of this cross.

Genotype Records Alleles at a Locus

A gene is a DNA sequence affecting a characteristic; an allele is one version of that gene; a genotype is the allele combination carried at one or more loci.

Term Meaning Example at an A/a locus
Homozygous Two identical alleles AA or aa
Heterozygous Two different alleles Aa

Writing Aa identifies the genotype at one locus; it does not by itself name the visible phenotype until the allele relationship is known.

Do not use gene, allele, genotype and phenotype as synonyms. An individual has two alleles at an autosomal locus, while a population may contain more than two.

Genotype exam focus

Assessment in practice

1 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify / Distinguish / Define.

Command terms

Identify / Distinguish / Define

What earns marks

Build the answer around this relationship: A genotype records the alleles an organism carries.

Representative question

Question 1

[Maximum number: 1]

Define the term genotype.

Phenotype Results from Genotype and Environment

Phenotype is an observable or measurable characteristic produced by genotype, environment, or an interaction between them.

Main influence Example and explanation
Genotype ABO blood group follows the inherited ABO alleles
Environment An acquired scar depends on injury rather than an inherited allele
Interaction Human height is influenced by many genes and by conditions such as nutrition

Genotype sets biological possibilities, while environmental conditions can alter gene expression, development or physiology; the size of each contribution depends on the trait.

A phenotype is not always visible, and an environmental effect does not necessarily change DNA sequence or become inherited.

Phenotype exam focus

Assessment in practice

2 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify.

Command terms

Identify

What earns marks

Build the answer around this relationship: Phenotype means the expressed or observable characteristic.

Representative question

Question 1

[Maximum number: 2]

Identify the phenotypes of each part of the phenotypic ratio.

RatioPhenotypes
9
3
3
1

Dominant and Recessive Describe an Allele Relationship

For a complete-dominance locus, the dominant allele determines the heterozygous phenotype; the recessive phenotype appears only when no dominant allele is present.

One dominant allele may produce enough functional product for the dominant phenotype, so AA and Aa look alike in this model, whereas aa lacks that contribution.

Genotype Phenotype in a complete-dominance model
AA Dominant
Aa Dominant
aa Recessive

In Aa × Aa, the expected genotypes are 1 AA : 2 Aa : 1 aa but the expected phenotypes are 3 dominant : 1 recessive.

Dominant does not mean common, beneficial or stronger. Dominance describes the phenotype of a heterozygote.

Dominant and recessive alleles

Assessment in practice

1–2 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify / Explain / Deduce.

Command terms

Identify / Explain / Deduce

What earns marks

Build the answer around this relationship: Dominant alleles are expressed in heterozygotes.

Representative question

Question 1

[Maximum number: 4]

Many genetic diseases are due to recessive alleles of autosomal genes that code for an enzyme. Using a Punnett grid, explain how parents who do not show signs of such a disease can produce a child with the disease.

Phenotypic Plasticity Changes Expression, Not Genotype

Phenotypic plasticity is the capacity of one genotype to produce different phenotypes under different environmental conditions.

Environmental signals can change which genes are expressed and how much product is made, altering physiology or form without changing the DNA sequence.

Many plastic responses can reverse during an individual's lifetime if the environment changes again; the inherited genotype remains the same.

The same plant genotype may form broader leaves in shade and smaller leaves in bright, dry conditions because development responds to the local environment.

Plasticity is not mutation and does not guarantee that the acquired phenotype is inherited by offspring.

Phenotypic plasticity

Assessment in practice

1 marks
How it is assessed

This objective is assessed through multiple choice.

What earns marks

Build the answer around this relationship: One genotype can produce different phenotypes in different environments.

Representative question

Question 1

[Maximum number: 1]

Scientists incubated larvae of the moth Utetheisa ornatrix at either 15C15^{\circ} \mathrm{C} or 22C22^{\circ} \mathrm{C} until they hatched. They found the hatched moths had different wing colour patterns due to phenotypic plasticity.

Moth from larvae incubated at \(15^{\circ

Moth from larvae incubated at \(22^{\circ

Which of the following explains the observed differences in wing colour?

A

Colder temperatures induce mutations in genes for wing colour.

B

The expression of genes for wing colour is affected by temperature.

C

A mutation makes moths less visible to predators in cold climates.

D

Wing colour is the result of polygenic inheritance.

PKU Connects a Recessive Allele to Metabolism

Phenylketonuria (PKU) is an autosomal recessive disorder in which mutation reduces the enzyme that converts phenylalanine to tyrosine.

With insufficient enzyme activity, phenylalanine accumulates and tyrosine production is reduced. Two recessive disease alleles are normally required for the affected phenotype.

Genotype → reduced phenylalanine-hydroxylase activity → disrupted phenylalanine-to-tyrosine conversion → altered metabolite concentrations and phenotype.

Restricting dietary phenylalanine lowers the substrate entering the blocked pathway and can reduce the severity of the phenotype.

Diet can change the phenotype but does not remove or rewrite the inherited PKU alleles.

Phenylketonuria (PKU)

Assessment in practice

2–3 marks
How it is assessed

This objective is assessed through essay response, commonly using Explain / Outline.

Command terms

Explain / Outline

What earns marks

Build the answer around this relationship: PKU is usually autosomal recessive, so carriers can be unaffected.

Representative question

Question 1

[Maximum number: 4]

Discuss the causes and treatments of phenylketonuria.

SNPs and Multiple Alleles Create Variation

A SNP is a common one-base DNA difference; multiple alleles are variants of one locus present in a population.

A base change may affect coding, regulation or nothing observable; a diploid person carries at most two alleles even when a population has many. Trace the allele combination through the stated biological mechanism before predicting the result.

Separate population allele variety from the two alleles in one individual.; compare the stated alleles and outcome

The ABO locus has three common alleles, while one person may carry only IA and IB. This gives a concrete prediction from the stated parental information.

A SNP is not automatically harmful or visible. Interpret the result within the stated inheritance model and its sample or environmental limits.

SNPs and multiple alleles

Assessment in practice

1 marks
How it is assessed

This objective is assessed through multiple choice, commonly using Identify.

Command terms

Identify

What earns marks

Build the answer around this relationship: An SNP is variation at a single nucleotide position.

Representative question

Question 1

[Maximum number: 1]

Which statement defines alleles?

A

They are the different forms of a gene that have the same effect on the phenotype.

B

They are the similar forms of a gene in different positions of a chromosome.

C

They are the various forms of a gene with slight differences in their base sequences.

D

They are the different forms of a gene coding for identical polypeptide chains.

ABO Blood Groups Use Codominance

ABO phenotype is determined by IA, IB and i: IA and IB are codominant, while i is recessive to either.

IA makes A antigen; IB makes B; i makes neither; IAIB therefore displays both antigens. Trace the allele combination through the stated biological mechanism before predicting the result.

List the two alleles; apply dominance; identify antigens and phenotype.; compare the stated alleles and outcome

IAi × IBi can produce AB, A, B or O offspring. This gives a concrete prediction from the stated parental information.

Blood type requires alleles from both parents. Interpret the result within the stated inheritance model and its sample or environmental limits.

ABO blood groups

Assessment in practice

1 marks
How it is assessed

This objective is assessed through structured response, commonly using Describe / State / Identify.

Command terms

Describe / State / Identify / Outline

What earns marks

Build the answer around this relationship: IA and IB are codominant in blood group AB.

Representative question

Question 1

[Maximum number: 9]

Describe the inheritance of ABO blood groups.

Separate Incomplete Dominance from Codominance

In incomplete dominance the heterozygote has an intermediate phenotype; in codominance both allele products are detectably expressed.

Pattern Heterozygote IB example
Incomplete dominance Intermediate phenotype Red × white four-o'clock flower (Mirabilis jalapa) can produce pink F1 flowers
Codominance Both products expressed IᴬIᴮ produces both A and B antigens

Self-crossing two pink Mirabilis F1 plants predicts a 1 red : 2 pink : 1 white phenotype ratio when the two alleles show incomplete dominance.

Codominance is not blending: both products remain present. Incomplete dominance does not make either allele 'partly dominant' in every genotype.

Incomplete dominance and codominance

Assessment in practice

1 marks
How it is assessed

This objective is assessed through multiple choice, commonly using Identify / Describe.

Command terms

Identify / Describe

What earns marks

Build the answer around this relationship: Incomplete dominance produces an intermediate heterozygote phenotype.

Representative question

Question 1

[Maximum number: 1]

A Mirabilis jalapa plant with red flowers was crossed with one with white flowers. All plants in the F1 generation had pink flowers. What phenotype ratio would be expected in the F2 generation?

A

100 % pink

B

50 % red and 50 % white

C

25 % white, 50 % pink and 25 % red

D

75 % red and 25 % white

The Sperm Sex Chromosome Determines the Typical XX/XY Outcome

In the simplified human model, eggs carry X, whereas sperm carry X or Y; therefore the sperm's sex chromosome determines whether the zygote is typically XX or XY.

Egg Sperm Typical zygote outcome
X X XX, typical female sex characteristics
X Y XY, typical male sex characteristics

The X chromosome carries far more genes than the Y chromosome. Sex-chromosome inheritance therefore also affects many genes unrelated to sex determination.

An X-bearing and a Y-bearing sperm are expected in roughly equal proportions, so each fertilization has approximately equal model probabilities of XX and XY.

XX/XY is a simplified model of typical development; chromosome variation and differences in gene function can produce other biological outcomes.

Sex determination

Assessment in practice

1 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify / Explain.

Command terms

Identify / Explain

What earns marks

Build the answer around this relationship: Eggs normally contribute an X chromosome.

Representative question

Question 1

[Maximum number: 4]

Distinguish between autosomes and sex chromosomes in humans.

Haemophilia Shows X-Linked Recessive Inheritance

Haemophilia alleles on the X chromosome reduce a clotting factor; the recessive pattern makes affected XY individuals more common.

An XY individual has one X allele; an XX individual may have a second functional allele; a carrier mother can pass the allele to sons or daughters. Trace the allele combination through the stated biological mechanism before predicting the result.

Write X-linked genotypes and track which parent supplies each X.; compare the stated alleles and outcome

Carrier mother XH Xh and unaffected father XH Y can have an affected son Xh Y. This gives a concrete prediction from the stated parental information.

Probabilities describe a model, not one guaranteed child. Interpret the result within the stated inheritance model and its sample or environmental limits.

Haemophilia exam focus

Assessment in practice

1–3 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify / Deduce / Explain.

Command terms

Identify / Deduce / Explain / Outline / State / Predict

What earns marks

Build the answer around this relationship: Males express an X-linked recessive allele if it is on their single X chromosome.

Representative question

Question 1

[Maximum number: 8]

Explain how males inherit hemophilia and how females can become carriers for the condition.

Use Pedigrees to Test Inheritance Hypotheses

A pedigree records phenotype and family relationships across generations so inheritance patterns and possible genotypes can be deduced.

Step Reasoning
Read symbols and relationships Identify affected/unaffected individuals, sex, partners and offspring
Look for a pattern Recessive traits may skip generations; sex linkage and dominance give different parent-offspring constraints
Assign only forced genotypes Use each mating and offspring to test the hypothesis; leave uncertain alleles unknown

Inductive reasoning proposes a pattern from the observed family data; deductive reasoning predicts who could be affected or carry an allele if that pattern is correct.

Two unaffected parents with an affected child support a recessive hypothesis; if the trait is autosomal recessive, both parents must carry the allele.

Consanguineous partners are more likely to share a rare ancestral recessive allele, but relatedness does not guarantee an affected child. Small pedigrees may fit more than one model.

Pedigree charts

Assessment in practice

1 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify / Deduce / Determine.

Command terms

Identify / Deduce / Determine / Draw / Calculate / State / Explain

What earns marks

Build the answer around this relationship: Pedigrees use affected and unaffected relatives to infer hidden genotypes.

Representative question

Question 1

[Maximum number: 2]

Explain how the pedigree chart shows that the dominant allele causing PKD is not on the X chromosome.

Continuous Variation Produces a Measurable Range

Continuous variation has many intermediate values and often results from several genes, environmental factors, or both.

Variation Example Useful description
Continuous Human skin colour or height Distribution, range, mean, median and mode
Discrete ABO blood group Counts or proportions in distinct categories

In polygenic inheritance, many loci each contribute to the phenotype; environmental conditions can add further variation, often producing a broad distribution.

For student heights, the mean uses every value, the median identifies the middle position and the mode identifies the most frequent value or interval.

Continuous does not mean entirely environmental, and discrete does not mean that only one gene is always involved.

Continuous variation

Assessment in practice

1–3 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify / State / Outline.

Command terms

Identify / State / Outline / Distinguish / Explain

What earns marks

Build the answer around this relationship: Continuous variation shows a range rather than separate phenotype classes.

Representative question

Question 1

[Maximum number: 7]

Explain the reasons for variation in human height.

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.

Meiosis Produces Segregation and Independent Assortment

HL only

Segregation separates the two alleles of a gene into different gametes; independent assortment gives unlinked gene pairs independent gamete combinations.

Homologous chromosomes separate in meiosis I, so their alleles segregate. Each bivalent orients independently at metaphase I, so maternal and paternal homologues enter daughter cells in different combinations.

For AaBb with unlinked loci, segregation and random bivalent orientation predict AB, Ab, aB and ab gametes in equal proportions.

The probability of an A gamete is 1/2 and of a B gamete is 1/2, so the unlinked-model probability of AB is 1/2 × 1/2 = 1/4.

Independent assortment applies to unlinked genes; closely linked loci can produce unequal parental and recombinant gamete frequencies.

Segregation and independent assortment

HL only

Assessment in practice

1–6 marks
How it is assessed

This objective is assessed through structured response, commonly using Outline / Determine / Identify.

Command terms

Outline / Determine / Identify

What earns marks

Build the answer around this relationship: Segregation gives each gamete one allele from each pair.

Representative question

Question 1

[Maximum number: 6]

Outline the relationship between Mendel's law of independent assortment and meiosis.

Derive Ratios for Unlinked Dihybrid Crosses

HL only

A dihybrid cross follows two loci at once; for unlinked autosomal genes, the four gamete types from AaBb are expected equally.

Cross under complete dominance Expected phenotypic ratio
AaBb × AaBb 9 A_B_ : 3 A_bb : 3 aaB_ : 1 aabb
AaBb × aabb (test cross) 1 A_B_ : 1 A_bb : 1 aaB_ : 1 aabb

Multiply the independent 3:1 monohybrid phenotype probabilities to obtain 9:3:3:1; in a test cross, each offspring directly reveals one of the heterozygote's four gamete types.

For AaBb × AaBb, P(A_B_) = 3/4 × 3/4 = 9/16, while P(aabb) = 1/4 × 1/4 = 1/16.

These ratios assume unlinked loci, complete dominance, equal gamete viability and a sufficiently large sample. Genes far apart on one chromosome may also approach 50% recombination.

Dihybrid crosses

HL only

Assessment in practice

1–2 marks
How it is assessed

This objective is assessed through structured response, commonly using Determine / Identify / State.

Command terms

Determine / Identify / State / Explain / Predict

What earns marks

Build the answer around this relationship: A dihybrid cross follows two genes simultaneously.

Representative question

Question 1

[Maximum number: 3]

The expected ratio of phenotypes in the offspring of a cross between a plant with narrow, yellow leaves and a plant heterozygous for the genes for leaf width and colour is 1: 1: 1: 1.

Justify this expected ratio using a Punnett grid or other diagram.

Investigate Human Gene Loci and Polypeptide Products

HL only

A locus is a gene's specific chromosomal position. A human-gene database can connect a gene symbol to its genomic location, summary and polypeptide product.

Database step Evidence to record
Search a gene and select Homo sapiens Correct gene record and symbol
Read genomic context Chromosome and locus coordinates
Read the summary/product fields Named polypeptide and its function
Compare a second record Pair on different chromosomes, or zoom in to find a nearby pair on the same chromosome

The mapped local textbook suggests TDF and CFTR as candidate searches. Record what the database reports for each gene rather than guessing its locus or product from the name.

Genes on different chromosomes can assort independently, whereas genes in close proximity on the same chromosome are likely to be linked and inherited together more often.

A database record is evidence only for its stated genome assembly and species. Do not treat two alleles at one locus as two nearby genes, and do not invent coordinates when the database has not been checked.

Linked Autosomal Genes Do Not Assort Independently

HL only

Autosomal linkage occurs when two genes lie on the same autosome and are therefore inherited together more often than expected by independent assortment.

The chromosome, not each allele, moves as a unit during meiosis unless crossing over occurs between the loci. Closer loci have a lower chance of being separated by a chiasma.

Show linked alleles beside two vertical lines representing homologous chromosomes—for example AB/ab for coupling or Ab/aB for repulsion—rather than writing only AaBb.

A test cross producing many AB and ab offspring but few Ab and aB offspring supports linkage in the AB/ab heterozygote.

Gene linkage means loci share a chromosome; sex linkage specifically means a locus lies on a sex chromosome. They are not synonyms.

Autosomal gene linkage

HL only

Assessment in practice

1–2 marks
How it is assessed

This objective is assessed through structured response, commonly using Identify / Define / Compare.

Command terms

Identify / Define / Compare / Explain / Distinguish / Outline

What earns marks

Build the answer around this relationship: Linked autosomal genes are on the same non-sex chromosome.

Representative question

Question 1

[Maximum number: 3]

Outline how it can be shown that the genes for shell base colour (Cc) and presence or absence of bands (Bb) are linked.

Use a Test Cross to Identify Recombinants

HL only

A recombinant carries a new allele combination relative to the parental chromosome combinations, produced by crossing over for linked genes or reassortment for unlinked genes.

Cross an individual heterozygous at both loci with an individual homozygous recessive at both. The recessive parent contributes only ab, so each offspring genotype and phenotype reveals the gamete made by the heterozygote.

Heterozygote gamete Test-cross offspring genotype Classification for AB/ab parent
AB AaBb Parental
ab aabb Parental
Ab Aabb Recombinant
aB aaBb Recombinant

If parental classes greatly exceed recombinant classes, the loci are linked; approximately 1:1:1:1 supports an unlinked or effectively 50%-recombining model.

Identify parental combinations from the cross, not from which phenotype looks 'normal'. Recombination frequency cannot exceed 50%.

Recombinants exam focus

HL only

Assessment in practice

1 marks
How it is assessed

This objective is assessed through multiple choice, commonly using Deduce / Identify.

Command terms

Deduce / Identify

What earns marks

Build the answer around this relationship: Recombinants differ from parental allele combinations.

Representative question

Question 1

[Maximum number: 1]

An individual is heterozygous for two linked genes ABab\frac{\mathrm{AB}}{\overline{\mathrm{ab}}}.

To investigate the frequency of crossing over, a test cross is carried out between the individual and another that is homozygous recessive for both genes. What are the possible recombinants in the offspring of this cross?

A

Abab\frac{\mathrm{Ab}}{\mathrm{ab}} and Abab\frac{\mathrm{Ab}}{\mathrm{ab}}

B

ABab\frac{\mathrm{AB}}{\mathrm{ab}} and AbaB\frac{\mathrm{Ab}}{\mathrm{aB}}

C

Abab\frac{\mathrm{Ab}}{\mathrm{ab}} and aBab\frac{\mathrm{aB}}{\mathrm{ab}}

D

AAaa\frac{\mathrm{AA}}{\mathrm{aa}} and BBbb\frac{\mathrm{BB}}{\mathrm{bb}}

Use Chi-Squared to Test a Dihybrid Ratio

HL only

A chi-squared goodness-of-fit test asks whether differences between observed and expected dihybrid counts are larger than expected from chance sampling.

χ2=Σ((OE)2/E),whereOiseachobservedcountandEisitsexpectedcount.χ2hasnounit;degreesoffreedom=numberofcategories1.χ² = Σ((O − E)² / E), where O is each observed count and E is its expected count. χ² has no unit; degrees of freedom = number of categories − 1.

State H₀: observed counts fit the stated Mendelian ratio; H₁: they do not. Convert the ratio to expected counts, calculate and sum each contribution, then compare χ² with the critical value at p = 0.05.

In local Question Bank record 10900, a four-category 1:1:1:1 model gives E = 575 in each category and df = 3. The supplied χ² = 1002.6 exceeds the p = 0.05 critical value 7.815, so reject H₀: the observed ratio differs significantly from expectation.

Failing to reject H₀ does not prove the model; rejecting it does not by itself identify linkage or another cause. Check assumptions, expected counts and experimental design.

Chi-squared test

HL only

Assessment in practice

1–2 marks
How it is assessed

This objective is assessed through structured response.

What earns marks

Build the answer around this relationship: Chi-squared compares observed counts with expected counts.

Representative question

Question 1

[Maximum number: 2]

The chi-squared value was calculated as shown. Deduce, with reasons, whether the observed ratio differed significantly from the expected Mendelian ratio.

c2=Σ( Observed  Expected )2 Expected =1002.6c^{2}=\Sigma \frac{(\text { Observed }- \text { Expected })^{2}}{\text { Expected }}=1002.6
Probability
Degrees of freedom0.9950.9750.200.100.050.0250.020.010.0050.0020.001
10.000040.0011.6422.7063.8415.0245.4126.6357.8799.55010.828
20.0100.0513.2194.6055.9917.3787.8249.21010.59712.42913.816
30.0720.2164.6426.2517.8159.3489.83711.34512.83814.79616.266
40.2070.4845.9897.7799.48811.14311.66813.27714.86016.92418.467
50.4120.8317.2899.23611.07012.83313.38815.08616.75018.90720.515
60.6761.2378.55810.64512.59214.44915.03316.81218.54820.79122.458
70.9891.6909.80312.01714.06716.01316.62218.47520.27822.60124.322

Retrieve the HL Inheritance Route

HL only

HL D3.2 is secure when chromosome behaviour explains the ratios: segregation and independent assortment produce unlinked dihybrid expectations, gene loci explain linkage, recombinants reveal crossing over, and chi-squared decides whether observed counts fit the expected model.

  • homologous chromosomes separate and random bivalent orientation assort unlinked genes
  • unlinked autosomal genes can produce 9:3:3:1 or 1:1:1:1 ratios
  • linked genes give more parental types and fewer recombinants after crossing over
  • observed counts are compared with expected ratios using df and p = 0.05

Solve HL Linkage and Chi-Squared Questions

HL only

HL inheritance transfer is about deciding whether the expected ratio should be Mendelian or linked, then testing the evidence. Start from meiosis and gene location, predict gametes or ratios, identify parental and recombinant classes, and use chi-squared when observed counts need a statistical conclusion.

  • Explain segregation and independent assortment from meiosis before using dihybrid ratios.
  • Use gene loci, linkage, crossing over, and recombinant frequency to interpret offspring classes.
  • Apply chi-squared with observed/expected values, degrees of freedom, p = 0.05, and a null-hypothesis conclusion.

Objective notes

21 learning objectives
D3.2.1Haploid gametes + fusion = diploid zygote• Haploid gametes fuse during fertilization to form a diploid zygote• Diploid organisms usually carry two alleles for each autosomal gene1% of analysed papers 1 paper · 1 questionViewD3.2.2Genetic crosses in flowering plants• Genetic crosses track parental, F1, and F2 generations using Punnett grids• Flowering plant crosses control pollen transfer to study inheritance ratios2% of analysed papers 2 papers · 2 questionsViewD3.2.3Genotype• Genotype is the allele combination inherited for a gene or genes• Homozygous genotypes have matching alleles; heterozygous genotypes have different alleles1% of analysed papers 1 paper · 1 questionViewD3.2.4Phenotype• Phenotype is the observable characteristic or trait• Phenotype can be determined by genotype, environment, and their interaction1% of analysed papers 1 paper · 1 questionViewD3.2.5Dominant and recessive alleles• Dominant alleles are expressed in heterozygotes• Recessive alleles are expressed when no dominant allele masks them4% of analysed papers 5 papers · 5 questionsViewD3.2.6Phenotypic plasticity• Phenotypic plasticity is environment-driven phenotype change without genotype change• It depends on altered gene expression and can be adaptive1% of analysed papers 1 paper · 1 questionViewD3.2.7Phenylketonuria (PKU)• PKU is an autosomal recessive disorder affecting phenylalanine metabolism• Low-phenylalanine diet and newborn screening reduce harmful effects3% of analysed papers 3 papers · 4 questionsViewD3.2.8SNPs and multiple alleles• SNPs are single-base differences that can create different alleles• Populations can have multiple alleles, but diploid individuals carry at most two1% of analysed papers 1 paper · 1 questionViewD3.2.9ABO blood groups• ABO blood group is controlled by IA, IB, and i alleles• IA and IB are codominant; i is recessive, producing four blood phenotypes9% of analysed papers 10 papers · 10 questionsViewD3.2.10Incomplete dominance and codominance• Codominance expresses both heterozygous alleles, as in AB blood type• Incomplete dominance gives an intermediate heterozygote phenotype3% of analysed papers 3 papers · 3 questionsViewD3.2.11Sex determination• Human chromosomal sex is usually determined by XX or XY chromosome combination• The SRY/TDF region on the Y chromosome directs testis development3% of analysed papers 3 papers · 3 questionsViewD3.2.12Haemophilia• Haemophilia is an X-linked recessive blood-clotting disorder• Carrier females and affected males are represented with X-linked allele notation4% of analysed papers 4 papers · 4 questionsViewD3.2.13Pedigree charts• Pedigree charts show family inheritance across generations• Patterns help infer autosomal dominant, autosomal recessive, or sex-linked inheritance11% of analysed papers 12 papers · 15 questionsViewD3.2.14Continuous variation• Continuous variation often results from polygenic inheritance plus environment• Human skin colour, height, and body mass show many intermediate phenotypes12% of analysed papers 14 papers · 14 questionsViewD3.2.15Box-and-whisker plots• Box-and-whisker plots summarize non-normal continuous data• They show median, quartiles, interquartile range, maximum/minimum, and outliers3% of analysed papers 3 papers · 5 questionsViewD3.2.16(HL)—Segregation and independent assortment• Alleles segregate as homologous chromosomes separate during meiosis• Unlinked genes assort independently through random bivalent orientation5% of analysed papers 6 papers · 6 questionsViewD3.2.17(HL)—Dihybrid crosses• Dihybrid crosses track inheritance of two genes simultaneously• Unlinked autosomal genes can produce 9:3:3:1 F2 or 1:1:1:1 test-cross ratios12% of analysed papers 14 papers · 17 questionsViewD3.2.18(HL)—Human gene loci• Genome databases identify human gene loci and polypeptide products• Genes on different chromosomes are unlinked; close loci on one chromosome can be linked0% of analysed papers ViewD3.2.19(HL)—Autosomal gene linkage• Linked autosomal genes are on the same non-sex chromosome• Linked genes tend to be inherited together unless crossing over occurs between loci14% of analysed papers 16 papers · 17 questionsViewD3.2.20(HL)—Recombinants• Recombinants have allele combinations different from parental chromosomes• Crossing over between linked genes produces fewer recombinants than parental types5% of analysed papers 6 papers · 6 questionsViewD3.2.21(HL)—Chi-squared test• Chi-squared tests whether observed genetic data fit expected ratios• Use observed/expected values, degrees of freedom, and p = 0.05 significance2% of analysed papers 2 papers · 2 questionsView