4MA0 Foundation January 2016 Paper 2 Q11
11 Here are 6 cards.
Each card has a number on it.
315523
(a) Find the median of the numbers on the cards. (2)
Uzma places two extra cards next to the six cards.
315523
She wants the mean of the numbers on the 8 cards to be 4
She wants the range of the numbers on the 8 cards to be 9
(b) Find the numbers that she should write on the two extra cards. (3)
| Scheme | Marks |
|---|---|
| Numbers in order 1, 2, 3, 3, 5, 5 | M1 |
| 3 | A1 |
| (2) |
Notes
M1: Ascending or descending, condone 1 omission. Or an answer of 3,3
| Scheme | Marks |
|---|---|
| 8 × 4 or 32 or 1 + 9 or 10 − 1 | M1 |
| “32” – (3 + 1 + 5 + 5 + 2 + 3) (=13) or (3 + 1 + 5 + 5 + 2 + 3) + “10” (=29) | M1 |
| 3 and 10 | A1 |
| (3) |
Notes
M1: A correct method to find the total of the 2 missing numbers
A1: If M0 scored then SCB1 for an answer of two numbers with a sum of 13 or two numbers that give a range of 9 for the 8 cards