Foundation June 2023 Paper 3 Q2
2 Here is a list of numbers.
\[10 \qquad 8 \qquad 2 \qquad 11 \qquad 12 \qquad 15 \qquad 4 \qquad 4\](a) Write down the mode. [1 mark]
(b) Work out the median. [2 marks]
(c) Work out the range. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| 4 | B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(2\;\;4\;\;4\;\;8\;\;10\;\;11\;\;12\;\;15\) or \(2\;\;4\;\;4\;\;8\;\;10\) or \(15\;\;12\;\;11\;\;10\;\;8\) or 8 and 10 or \(18 \div 2\) or \(\dfrac{8 + 1}{2}\)th or 4.5th value | M1 | full list of numbers in either order allow one missing, extra or transcription error in an otherwise full list of numbers list of first or last five numbers in either order allow only a transcription error in a list of the first or last five numbers oe works out the position of the median in the list |
| 9 | A1 |
Additional guidance
| Ordered list in the stem of the question can be assumed to be for part (b) unless contradicted by the working seen in the working space | |
| Numbers in a list may be seen crossed out in an attempt to find the median | |
| Answer 9 from any or no list | M1A1 |
| Puts list in order then finds the mean | M1A0 |
| States 4.5th and gives 11.5 (oe) | M1A0 |
| Answer | Mark | Comments |
|---|---|---|
| 13 | B1 |