Averages (including IQR): WJEC GCSE Numeracy Intermediate June 2022 Unit 1 Q2

Numeracy Intermediate June 2022 Unit 1 Q2

WJECIntermediateCurrent spec5 marksAverages (including IQR)

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

During the first 10 days of April, the mean daily rainfall in Gwentre was 1·8 cm.
On 11th April, the rainfall in Gwentre was 4 cm.

By finding the total rainfall for the first 10 days of April, calculate the mean daily rainfall for the first 11 days of April.
You must show all your working. [3 + 2 OCW]

Mark scheme

Scheme	Marks	Comments
(Total rainfall for 10 days is 10 × 1.8 =) 18	B1	May be implied in further working (e.g. from sight of 22 (cm) total rainfall)
(Mean rainfall for 1^st 11 days of April) (10 × 1.8 + 4) ÷ 11	M1	FT ‘their incorrectly evaluated 10 × 1.8’
(=) 2 (cm)	A1
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 explanations and working in a way that is clear and logical write a conclusion that draws together their results and explains what their answer means
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.

Alternative method

Scheme	Marks	Comments
(Additional rainfall per day) (4 – 1.8) ÷ 11	M1
(=) 0.2 (cm)	A1
(Mean rainfall for 1^st 11 days of April) ( 1.8 + 0.2 =) 2 (cm)	B1	FT ‘their incorrectly evaluated (4 – 1.8) ÷ 11’

The alternative method is printed in italics in the original. The OC1 and W1 marks apply to either method.