Higher November 2023 Paper 5 Q14
14 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 | 2 | B1 for each correct reason | Accept e.g: |
| Small sample oe | They should have asked more pupils Do not accept they should ask all the pupils | ||
| Limited to one age group oe | They should have asked different age groups | ||
| May all be one gender oe | 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 3 | |
Appendix 3: Q14(b)
| 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 |