Foundation January 2023 Paper 2 Q10
10 The frequency table shows information about the number of cookies made by each of the 21 people in a cookery class.
| Number of cookies made | Frequency |
|---|---|
| 10 | 1 |
| 11 | 7 |
| 12 | 2 |
| 13 | 5 |
| 14 | 4 |
| 15 | 2 |
(a) Write down the mode of the number of cookies made. (1)
(b) Find the median number of cookies made. (2)
(c) Find the total number of cookies made by the 21 people in the cookery class. (2)
| Scheme | Marks |
|---|---|
| 11 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 21 ÷ 2 (=10.5) or 11th oe or 10,11,11,11,,,,12,12,13… etc with no more than one error | M1 |
| 13 | A1 |
| (2) |
Notes
M1: For a correct method to find position of median
| Scheme | Marks |
|---|---|
| 10 × 1 + 11 × 7 + 12 × 2 + 13 × 5 + 14 × 4 + 15 × 2 or 10 + 77 + 24 + 65 + 56 + 30 oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 262 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: For at least 4 correct products
A1: (NB: an answer of 12.476.. alone or with 262 ÷ 21 gains M1 only)