Foundation November 2023 Unit 2 Q5
5.
(a) Arwel writes a list of six numbers:
3 3 4 4 5 6
Arwel adds another number to his list.
The mode of his seven numbers is an odd number.
What number does Arwel add to his list? [1]
The number that Arwel adds to his list is ……………
(b) Ffion writes a list of seven numbers:
3 8 4 1 2 8 9
What is the median of Ffion’s seven numbers? [2]
The median of Ffion’s seven numbers is ……………
(c) Marc writes down two numbers:
2 7
Marc adds another number to his list.
The mean of his three numbers is 5.
What number does Marc add to his list?
You must show all your working. [3]
The number that Marc adds to his list is ……………
| Scheme | Marks | Comments |
|---|---|---|
| 3 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 4 | B2 | B1 for 1 2 3 4 8 8 9 (ascending or descending list) |
| Scheme | Marks | Comments |
|---|---|---|
| (Missing value =) 5 × 3 – (7 + 2) | M2 | Award M2 for sight of unambiguous 15 – 9 Award M1 for sight of (Total of all 3 values =) 5 × 3 or unambiguous ‘15’ |
| (Missing value = 15 – 9 =) 6 | A1 | CAO |
5.(c) Alternative method (trial and improvement)
| Scheme | Marks | Comments |
|---|---|---|
| A trial of any value | M1 | \(\dfrac{\text{‘Their value’} + 7 + 2}{3}\) evaluated correctly |
| An improved trial | m1 | An improved trial means that their choice of value takes them in the right direction. |
| 6 | A1 | May be seen as an embedded answer, unless contradicted. If contradicted award M1 m1 A0. Award M1 m1 A1 for a correct answer of 6. |