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Biology · Lessons

Distinguish continuous and discontinuous variation

Both kinds of variation look like lists of numbers, so it is easy to label them by guessing.

On this page
  1. How do you tell the two types apart?
  2. Worked example
  3. The mistake to watch for
  4. Check yourself
  5. Where this leads next

Continuous variation shows a smooth range of values between two extremes, such as length or mass. Discontinuous variation shows a few clear categories with nothing in between, such as flower colour. You are asked to classify examples, read graphs of each type, and state the usual causes.

This skill opens the module on variation and selection and comes back whenever a question shows a data table or a graph.

How do you tell the two types apart?

Ask one question: can a new individual fall anywhere between the existing values? If yes, the variation is continuous. If individuals must fit into separate groups, it is discontinuous.

FeatureContinuousDiscontinuous
ValuesAny value in a rangeDistinct categories
Measured or countedMeasured on a scaleCounted in groups
Typical graphHistogram or smooth curveBar chart with gaps
Usual causeGenes and environmentGenes only
Invented exampleLeaf lengthSeed shape, round or wrinkled

Notice that “numbers in the data” does not decide it. Counting whole petals gives numbers, but the values are separate steps, so the variation is discontinuous.

Worked example

A student measures the leaf length of 50 leaves from a fictional shrub. The data are invented for practice.

Leaf length (mm)Frequency
30 to under 403
40 to under 509
50 to under 6019
60 to under 7013
70 to under 806

Step 1, check the total: 3 + 9 + 19 + 13 + 6 = 50 leaves. The table accounts for every leaf.

Step 2, name the type: length is measured and a leaf can be any length in a range, so this is continuous variation.

Step 3, describe the shape: most leaves are in the middle class, 50 to under 60 mm, and the frequencies fall away on both sides. This bell shape is typical of continuous variation.

Step 4, use the data: leaves in the two classes from 50 to under 70 mm number 19 + 13 = 32. As a fraction of the sample that is 32/50 = 64%.

Step 5, give a cause: leaf length depends on genes, but also on light, water and soil. The same shrub grown in one uniform condition would give a narrower graph, which shows the environment is involved.

Now compare a discontinuous case. In a second invented sample of 50 plants, 34 have purple flowers and 16 have white flowers.

There is no pale purple group, so the plot is a bar chart with two separate bars. One gene with two alleles can cause this pattern.

The mistake to watch for

Mistaken answer: “Number of petals is continuous because it is a number.”

A number can come from counting or measuring. Counting whole items gives steps with nothing in between, so the variation is discontinuous. The correction is to use the test above: a flower cannot have 4.6 petals.

A second slip is drawing a bar chart with gaps for leaf length. Continuous data need touching bars or a smooth line, because the classes join on to each other.

Check yourself

All data are invented.

1. Classify each feature as continuous or discontinuous: (a) mass of seeds in grams; (b) presence or absence of spots on a fictional beetle; (c) height of bean plants in centimetres.

Show answer

(a) Continuous, measured on a scale. (b) Discontinuous, two categories only. (c) Continuous, measured on a scale.

2. A table shows ten classes of pod length with frequencies 2, 5, 9, 14, 18, 15, 10, 6, 3 and 1. Which type is this likely to be, and how many pods were measured?

Show answer

Pod length is measured, so it is likely continuous. The total is 2 + 5 + 9 + 14 + 18 + 15 + 10 + 6 + 3 + 1 = 83 pods.

3. Two seedlings with the same genes are grown, one in sun and one in shade. The shaded one is shorter. What does this show about continuous variation?

Show answer

The genes were the same, so the difference comes from the environment. This supports the idea that continuous variation is affected by both genes and environment.

Where this leads next

Next, explain a source of genetic variation to see where differences between individuals come from in the first place. The inheritance model board shows how a single gene can make a discontinuous pattern, and the module practice set mixes all five skills.

Some students know the table by heart and still misclassify a new example in an exam. A teacher in online one-to-one Biology tuition can ask you why you chose each label and tighten that reasoning.

Questions people ask

Is number of petals continuous or discontinuous variation?

Discontinuous. Petals are counted in whole numbers, so a flower has 4 or 5 petals and never 4.6. The data fall into separate categories. Continuous variation has a smooth range of values between the extremes, such as leaf length measured in millimetres.

Does continuous variation always come from the environment?

No. Continuous variation is usually caused by both genes and the environment together. Several genes can affect one feature, and conditions such as food, light or soil then change the result. Discontinuous variation is usually caused by genes alone.

Which graph should I draw for each type?

Use a histogram or line graph for continuous data, with bars touching or a smooth curve. Use a bar chart with gaps for discontinuous data, because the categories are separate. Always label both axes and give units where they exist.

Updated:

Your next step

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