Higher June 2022 Paper 4 Q10
10 A student is researching the difference in how much exercise adults and children do.
To collect their data, the student interviews the first 25 people found in the High Street at 11 am on one Monday morning.
(a) Make three different criticisms of the student’s method of collecting data. [3]
(b) Here is the data collection table that the student used.
| Hours exercised in a week (\(h\)) | Adult tally | Child tally |
|---|---|---|
| \(0 \leqslant h \leqslant 2\) | ||
| \(2 \leqslant h \leqslant 4\) | ||
| \(4 \leqslant h \leqslant 8\) | ||
| \(8 \leqslant h \leqslant 12\) | ||
| \(12 \leqslant h \leqslant 20\) |
Make one criticism of the student’s table. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Any correct criticism e.g. small sample sample not random as many in the population cannot be in the sample i.e. they may be at work no control over the number of adults and children | 3 | B1 for each | Question asks for criticisms so criteria is : i.e larger sample size i.e not randomly selected as some are excluded i.e reasonable proportions of adults and children do not allow a repeated point |
Appendix: exemplar responses for Q10(a)
| Response | Mark | |
|---|---|---|
| small size | small sample (condone use of ‘population’) | 1 |
| only collect from 25 people | 1 | |
| need a larger sample size | 1 | |
| bias introduced as many are at work/school so not in sample | 1 | |
| not random | only collect on one day/ should collect on many days/ collect at different times/collect at different places | 1BOD |
| People are excluded | mostly older people on the street at that time | 1 |
| test is random so it is biased/unfair | 1BOD | |
| many people work on Monday morning | 1 | |
| data collected from one set of people | 1 | |
| all children at school so not in sample | 1 | |
| only interviewing people from the same area | 1 | |
| people in the High Street don’t exercise | 0 | |
| don’t know if people tell the truth | 0 | |
| some people would have been out before 11 am | 0 | |
| No control over strata | no control over number of adults and children | 1 |
| might be all/many adults | 1 | |
| might be no children in the sample as all at school | 1 | |
| needs to be ‘enough’ adults and ‘enough’ children in sample | 1 | |
| number of adults and children not equal/must be equal | 1BOD | |
| they should interview the same amount of children and adults | 1BOD | |
| there may be an uneven number of adults and children | 1BOD | |
| children are at school so they will interview more adults | 1 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| overlapping groups oe or there is no option for over 20h | 1 | e.g where does 2 go? select best comment | |