Question 1
2 marksA student investigated whether adding nitrate fertiliser to soil affects the number of root nodules on clover plants. Root nodules contain nitrogen-fixing bacteria.
She grew clover plants in pots of soil with added nitrate fertiliser and in pots of the same soil without it. After 8 weeks, she counted the nodules on the roots of 20 plants from each type of soil and calculated the mean number of nodules per plant for each.
Give two reasons why she counted the nodules on 20 plants from each type of soil, rather than on one plant.
Model answer
1. Individual clover plants vary in the number of nodules they have, so a mean from 20 plants is more representative of all the plants in that soil.
2. Anomalous plants can be identified, and their effect on the mean is reduced.
Explanation
Living organisms vary, genetically and because of their surroundings, so a single plant may be untypical. A larger sample gives a mean that is more representative, reduces the effect of anomalies and random error, and allows a statistical test of whether the difference between the two means is significant. 'To make it fair' or 'to make it accurate' on its own does not earn a mark.
Mark scheme
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1 mark
Plants vary (in the number of nodules), so a larger sample is more representative (of all the plants grown in that soil)
Max 2. List rule: if more than two reasons are given, each wrong or contradictory extra answer cancels one correct answer. Accept 'reliable' for representative. Accept 'there is variation between plants, e.g. genetic variation'.
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1 mark
To reduce the effect of anomalous results / so anomalies can be identified
Accept 'to reduce the effect of an unusual plant on the mean'.
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1 mark
So that a statistical test can be carried out / so that she can find whether the difference between the means is significant (or due to chance)
Accept 'so a standard deviation can be calculated'. Accept 'a t-test'.
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1 mark
To reduce the effect of random error (in counting) on the mean
Ignore 'to make it more accurate' or 'to make it a fair test' unqualified. Ignore 'so a reliable mean can be calculated' with no reason.