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Sampling: random sampling, sample size and avoiding bias

Experimental skills · Practical skills · note 7 of 7

Sampling: random sampling, sample size and avoiding biasSpec S7

In short

Random sampling is choosing samples so that every individual or position has an equal chance of being chosen, for example using random number coordinates on a grid of tape measures. It avoids bias, which can happen when you choose positions yourself or throw a quadrat. A larger sample size, such as 10 to 20 quadrats, makes results more representative.

It is usually impossible to count or measure every organism, so you take a sample. The sample must be representative of the whole population and must avoid bias.

Representative sample
A sample that has the same features as the whole population or area it comes from.
Bias
When the way a sample is chosen makes some results more likely than others, for example picking the largest leaves.
Simple random sampling
Choosing samples so that every individual or position has an equal chance of being chosen, for example using random numbers.

Random sampling with a quadrat

  1. Lay two tape measures at right angles along two edges of the area to make a grid.
  2. Use a random number generator (or random number table) to pick two coordinates.
  3. Place the quadrat at that point and count the chosen species inside it.
  4. Repeat for many quadrats, for example 10 to 20.
  5. Calculate the mean number per quadrat.
Plan view of a 20 m by 20 m field with tape measures along the bottom and left edges, six 0.25 m² quadrats placed at random coordinates such as (4, 17) and (13, 6), dashed lines showing how the coordinates (13, 6) are found, and a random number generator showing 13, 6. (opens full size in a new tab)
Random coordinates: every position has an equal chance of being sampled, so the sample avoids bias.

Sample size and bias

  • A larger sample size makes the results more representative and reduces the effect of any one unusual sample.
  • Choosing positions yourself, or throwing the quadrat, can introduce bias, because you may pick areas that look interesting.
  • For variation studies, choose individuals at random, for example measure every tenth leaf, or leaves from randomly chosen plants, not just the biggest ones.
  • Keep the method the same for every sample: the same quadrat size and the same person counting.
Exam tip:

Random sampling avoids bias. A large sample makes the results representative. Learn these two phrases as a pair.

Safety outdoors: wear gloves or wash your hands after handling soil and plants, take care near water and do not touch plants you cannot identify.

Quick check

  1. How should a column heading for time in seconds be written?

    Show answer

    time / s

  2. Which variable goes on the x-axis?

    Show answer

    The independent variable, unless told otherwise.

  3. State the formula for magnification.

    Show answer

    magnification = image size ÷ actual size

  4. What colour does hydrogencarbonate indicator turn when carbon dioxide increases?

    Show answer

    Yellow (from red).

  5. Why should quadrats be placed at random?

    Show answer

    To avoid bias.

Written and checked against the Cambridge IGCSE Biology (0610) specification · Updated October 2026

Frequently asked questions

How do you calculate magnification in biology?

Magnification is calculated as image size divided by actual size. Measure the image, such as your drawing or a photograph, with a ruler in millimetres, and make sure both sizes are in the same unit. For example, a leaf 45 mm long drawn 135 mm long has a magnification of ×3. Magnification has no unit.

What is the difference between independent and dependent variables?

The independent variable is the one the scientist changes, and the dependent variable is the one observed or measured. Changing the independent variable may cause a change in the dependent variable. For example, in an enzyme experiment you change the temperature and measure the time taken for the starch to disappear. Other variables are controlled.

How do you draw a results table in biology?

Draw a ruled table with a border and lines between columns. Put the independent variable in the first column and the dependent variable, with repeats and the mean, in the next columns. Head each column with the quantity and unit separated by a solidus, such as time / s, and keep units out of the body.

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