Biology by Bradford · IB Biology · Data-booklet skills

Data Booklet
Skills.

Every mark here is for using a table or formula — not memorising one. The booklet is open. The skill is knowing what to do with it.

01 · The mindset

Method,
not memory.

Pick the tool

The booklet hands you the formula. The first mark is choosing the right one for the question.

Show the substitution

Write the formula, then put the numbers in. Method marks survive a slip in the final number.

Mind the units

Convert carefully (mm → µm), and give the answer to a sensible precision. Units earn marks.

Hardy–Weinberg · §11
p² + 2pq + q² = 1  ·  p + q = 1
Chi-squared · §11
χ² = Σ (O − E)² / E
Simpson reciprocal · §11
D = Σ n(n−1) / N(N−1) → 1/D
Lincoln index · §11
N = (M × n) / R
Magnification · §11
magnification = image size / actual size
Genetic code · §13
mRNA codon table → amino acids
02 · The codon decoder

Read the
code.

Type an mRNA sequence, or apply a mutation, and watch the table do the work. (Supports Q2.)

03 · Six questions

Try, then
reveal.

Attempt each with the booklet, then open the worked solution to check your method.

Q1 · Hardy–Weinberg → chi-squared§11 · flagship

In a population of 800 beetles, a wing-colour gene has alleles A (dominant) and a (recessive). The frequency of A is 0.6. Observed genotypes:

GenotypeAAAaaa
Observed270410120
  1. Calculate the expected number of each genotype at equilibrium. [3]
  2. Carry out a chi-squared test; state df and the critical value (p = 0.05). [4]
  3. State and justify your conclusion about equilibrium. [2]
Worked solution

(a) p = 0.6, q = 0.4.   AA = p²N = 0.36 × 800 = 288; Aa = 2pqN = 0.48 × 800 = 384; aa = q²N = 0.16 × 800 = 128 (total 800).

(b) χ² = Σ(O−E)²/E:   AA (270−288)²/288 = 1.125; Aa (410−384)²/384 = 1.760; aa (120−128)²/128 = 0.500 → χ² = 3.39. df = 3 − 1 = 2; critical value (p = 0.05) = 5.99. Since 3.39 < 5.99…

(c) The calculated value is less than the critical value → do not reject the null hypothesis → no significant difference → the population is consistent with Hardy–Weinberg equilibrium for this gene.

Teacher note: because p is given, df = categories − 1 = 2 is clean. If students estimate p from the data, the stricter convention removes one more degree of freedom (df = 1, critical value 3.84) — worth raising with a strong group.
Q2 · Using the genetic code§13

An mRNA reads:  5′ – AUG GCA AAU UGG ACU UAA – 3′

  1. Give the amino-acid sequence. [2]
  2. Base 11 (the G in UGG) → A: identify the new codon, classify the mutation, describe the effect. [3]
  3. Base 6 (the A in GCA) → G: explain why there is no effect. [2]
  4. Base 4 (the first G) is deleted: work out the new sequence and name the mutation. [3]

Tip: use the decoder above to check each part.

Worked solution

(a) AUG–GCA–AAU–UGG–ACU–UAA → Met–Ala–Asn–Trp–Thr (then stop).

(b) UGG → UAG = a stop codon → nonsense mutation. Translation ends early → a truncated polypeptide (Met–Ala–Asn), likely non-functional.

(c) GCA → GCG, still alanine. The code is degenerate (several codons per amino acid) → a silent mutation, sequence unchanged.

(d) Deleting the G: AUG–CAA–AUU–GGA–CUU–… → Met–Gln–Ile–Gly–Leu–… Every downstream codon changes → a frameshift mutation.

Q3 · Simpson's reciprocal index§11

Two woodland sites, same three species, same total (N = 30):

SpeciesSite ASite B
11026
2102
3102
  1. Calculate 1/D for each site. [4]
  2. Richness is identical — explain what the values reveal and why they differ. [2]
Worked solution

(a) D = Σn(n−1) / N(N−1), then 1/D. N(N−1) = 30 × 29 = 870.

Site A: Σn(n−1) = 3 × (10×9) = 270; D = 0.310; 1/D = 3.22.

Site B: Σn(n−1) = (26×25)+(2×1)+(2×1) = 654; D = 0.752; 1/D = 1.33.

(b) Site A has the higher index → greater biodiversity. Richness is equal, but Site A is far more even; Site B is dominated by one species. Simpson's accounts for evenness, not just the number of species.

Q4 · Lincoln index§11

To estimate a snail population: 40 caught, marked, released. Second visit: 50 caught, of which 8 were marked.

  1. Estimate the total population size. [2]
  2. State two assumptions for validity. [2]
Worked solution

(a) N = (M × n)/R = (40 × 50)/8 = 250 snails.

(b) Any two: no significant migration / birth / death between samples; marking doesn't affect survival or behaviour; marked individuals mix randomly back in; marks aren't lost.

Q5 · Magnification§11 · §10

A mitochondrion in an electron micrograph measures 40 mm long. Magnification is ×2000.

  1. Calculate the actual length. [2]
  2. Give the answer in µm. [1]
Worked solution

(a) actual = image / magnification = 40 mm / 2000 = 0.02 mm.

(b) 0.02 mm = 20 µm.

Q6 · Hardy–Weinberg (carriers)§11

A recessive condition affects 1 in 2500 newborns in a population at equilibrium.

  1. Calculate the recessive allele frequency (q). [1]
  2. Calculate the carrier (heterozygote) frequency. [2]
  3. Express it as an approximate "1 in …" figure. [1]
Worked solution

(a) q² = 1/2500 = 0.0004 → q = 0.02.

(b) p = 1 − 0.02 = 0.98; carriers = 2pq = 2 × 0.98 × 0.02 = 0.0392 (≈ 3.9%).

(c) 1 / 0.0392 ≈ 1 in 26.

04 · The bigger picture

Which tool,
which job.

Tap a tool to see what it finds — and how the genetics tools feed each other.

expected values feed Data booklet Hardy–Weinberg Chi-squared Genetic code Magnification Simpson's index Lincoln index
Your toolkit

Every formula and table you need is in the booklet — marks are for using them, not memorising them. Tap a tool to see exactly what it finds.

Tap any tool to trace its job · tap the background to reset

05 · Your turn

Match the tool
to the job.

Drag the right tool into each scenario. Two tools don't fit any of these — they're the trap.

Placed: 0 / 0
Estimate a population by mark–recapturedrop
Translate an mRNA sequence into amino acidsdrop
Test if observed differs from expecteddrop
Find allele & genotype frequencies at equilibriumdrop
Compare biodiversity of two sitesdrop
Find real size from a micrographdrop
06 · Check yourself

IB-style
multiple choice.

Single best answer, Paper 1 style. Pick one — you'll see why.

Score: 0 / 0