Averages (including IQR): WJEC GCSE Foundation November 2024 Unit 2 Q7

Foundation November 2024 Unit 2 Q7

7. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Lewis chooses four numbers.

The largest number is \(\dfrac{1}{3}\) of 99.
The range of his numbers is 6.
The mode of Lewis’s numbers is an even number.

Write down four numbers that Lewis could have chosen.
You must show all your working. [3 + 2 OCW]

Mark scheme

Scheme	Marks	Comments
(The four numbers are) 27, 28, 28, 33 OR 27, 30, 30, 33 OR 27, 32, 32, 33	B3	B2 for any four numbers which satisfy two of the following conditions: Largest number (= \(\frac{1}{3}\) × 99 =) 33 Range = 6 Mode is even B1 for any four numbers which satisfy one of the conditions. If no marks, award SC1 for (Largest number = \(\frac{1}{3}\) × 99 =) 33
Organisation and Communication.	OC1	For OC1, candidates will be expected to: present their response in a structured way explain to the reader what they are doing at each step of their response lay out their explanation and working in a way that is clear and logical write a conclusion that draws together their results and explains what their answer means
Accuracy of writing.	W1	For W1, candidates will be expected to: show all their working make few, if any, errors in spelling, punctuation and grammar use correct mathematical form in their working use appropriate terminology, units, etc