Foundation November 2023 Paper 2 Q22
22 A teacher is planning a theme day for the 500 pupils at their school.
The teacher asks a sample of 20 pupils from year 8 which theme they would prefer.
The results are shown in the table.
| Theme | Number of pupils |
|---|---|
| Sport | 7 |
| Art and design | 3 |
| Recipes | 2 |
| Music and movies | 8 |
(a) Describe two disadvantages of the teacher’s sampling method. [2]
(b) Using the results from the table, the teacher estimates that 175 pupils in the school would prefer a sport theme.
Here is the teacher’s method.
\[\frac{7}{20} \times 500 = 175\]Write down one assumption the teacher has made when making their estimate. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Any two from Small sample oe Limited to one age group oe May all be one gender oe | 2 | B1 for each correct reason | Accept e.g: They should have asked more pupils Do not accept they should ask all the pupils They should have asked different age groups They should make sure they ask males and females Accept two disadvantages given in one statement Ignore incorrect statements |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| The sample is representative of the whole school oe | 1 | See Appendix 5 | |
Appendix
Appendix 5 Q22b
| Response | Mark | |
|---|---|---|
| 1 | The sample is representative of the whole school (in mark scheme) | 1 |
| 2 | The same proportion of pupils will choose sports for the rest of the school | 1 |
| 3 | That the 7 [or 20] students reflect the choices of the rest | 1 |
| 4 | 7/20 of the rest of the school will choose sports | 1 |
| 5 | The teacher assumes the sample will be proportional for all 500 pupils | 1 |
| 6 | For every 20 people [in the school] 7 will choose sport | 1 |
| 7 | The ratio/fraction/proportion stays the same if more/all people were asked | 1 |
| 8 | Every 20 people will give the same response | 1 |
| 9 | The sample reflects the rest of the school (hints at representative sample) | 1 |
| 10 | The whole school has the same interests as year 8 BOD hints at representative sample | 1 |
| 11 | That 7 out of 20 is accurate (It is accurate as the results for the sample) | 0 |
| 12 | Other students in the school will choose the same theme (Not referring to proportion/fraction) | 0 |
| 13 | The same amount will choose sports for the rest of the years (needs proportion not amount) | 0 |
| 14 | There will be 175 students that prefer a sports theme (Not referring to sample) | 0 |
| 15 | All of the students will take part / attend /choose an option | 0 |