Foundation June 2021 Paper 2 Q9
9 The table shows information about the number of pieces of homework each student in Year 11 received last week.
| Number of pieces of homework | Frequency |
|---|---|
| 3 | 4 |
| 4 | 8 |
| 5 | 10 |
| 6 | 12 |
| 7 | 4 |
(a) Work out the range of the number of pieces of homework. (2)
(b) Write down the mode of the number of pieces of homework. (1)
(c) Work out the mean number of pieces of homework.
Give your answer correct to one decimal place. (3)
Give your answer correct to one decimal place. (3)
| Scheme | Marks |
|---|---|
| 7 − 3 | M1 |
| 4 | A1 |
| (2) |
Notes
M1: or 3 − 7
| Scheme | Marks |
|---|---|
| 6 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 3 × 4 + 4 × 8 + 5 × 10 + 6 × 12 + 7 × 4 (= 194) (12 + 32 + 50 + 72 + 28) | M1 |
| “194” ÷ (4 + 8 + 10 + 12 + 4) (= 5.105....) “194” ÷ “38” | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 5.1 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: for at least 4 correct products and intention to add. Products may be seen by the side of the table
M1: dep on M1
A1: accept 5.1 − 5.106