Variation

Biology A2 · Selection and evolution. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

Test this topic freeAll Biology A2 topics

The idea

Members of one species differ from each other. These differences in phenotype come from their genes, from their environment, or from both acting together. Blood group is set by genes alone. Body mass depends on genes and on diet.

In discontinuous variation individuals fall into a few clear groups with nothing in between. It is caused by one gene or a few genes, and the environment has little effect. In continuous variation there is a full range of values between two extremes. It is caused by many genes that each add a small effect, and the environment often changes the result.

The t-test tells you whether the means of two samples are really different or differ only by chance.

Rules to remember

Common mistake

Students use s instead of s2 in the t-test formula. Square each standard deviation before dividing by its sample size.

Worked example

Sample 1: mean 24.0 cm, s = 3.0 cm, n = 9. Sample 2: mean 20.0 cm, s = 4.0 cm, n = 16. The critical value of t at p = 0.05 for these samples is 2.07. Is the difference between the means significant?

  1. s12/n1 = 9.0 ÷ 9 = 1.0 and s22/n2 = 16.0 ÷ 16 = 1.0.
  2. √(1.0 + 1.0) = √2.0 = 1.41.
  3. t = (24.0 − 20.0) ÷ 1.41 = 2.83.
  4. Degrees of freedom = 9 + 16 − 2 = 23, and 2.83 is greater than 2.07.

Answer: t = 2.83, so the difference between the means is significant at p = 0.05.

Ask about this

Type what you are stuck on. The helper finds the explanation, worked examples and the notes to read, free and instant.

Read the full notes

Keep going

← Gene controlNatural and artificial selection →Take a Biology A2 test